;; (find-sh "cd ~/books/ && find * | sort") ;; (find-sh "cd ~/books/__cats/ && find * | sort") ;; «.act2020-links» (to "act2020-links") ;; «.abramsky» (to "abramsky") ;; «.abramsky-tzevelekos» (to "abramsky-tzevelekos") ;; «.aguzzoli» (to "aguzzoli") ;; «.ahrens» (to "ahrens") ;; «.almeida» (to "almeida") ;; «.angot-pellissier» (to "angot-pellissier") ;; «.arbibmanes» (to "arbibmanes") ;; «.arndt» (to "arndt") ;; «.asperti» (to "asperti") ;; «.asperti-dummies» (to "asperti-dummies") ;; «.asperti-er» (to "asperti-er") ;; «.asperti-longo» (to "asperti-longo") ;; «.awodey» (to "awodey") ;; «.awodey-natmods» (to "awodey-natmods") ;; «.avery» (to "avery") ;; «.badiou» (to "badiou") ;; «.badiou-mt» (to "badiou-mt") ;; «.badiou-low» (to "badiou-low") ;; «.badiou-smp» (to "badiou-smp") ;; «.baez» (to "baez") ;; «.baez-diary» (to "baez-diary") ;; «.baez-dolan» (to "baez-dolan") ;; «.baez-uadr» (to "baez-uadr") ;; «.baez-rosetta» (to "baez-rosetta") ;; «.baez-shulman» (to "baez-shulman") ;; «.baez-weiss» (to "baez-weiss") ;; «.barr» (to "barr") ;; «.barr-wells» (to "barr-wells") ;; «.barr-wells-ctcs» (to "barr-wells-ctcs") ;; «.barr-chu» (to "barr-chu") ;; «.barret-phd» (to "barret-phd") ;; «.bartels» (to "bartels") ;; «.bauer» (to "bauer") ;; «.bauer-dawn» (to "bauer-dawn") ;; «.bauer-gddtt» (to "bauer-gddtt") ;; «.bazerman» (to "bazerman") ;; «.beck» (to "beck") ;; «.beck-distrlaws» (to "beck-distrlaws") ;; «.bell» (to "bell") ;; «.bell-lst» (to "bell-lst") ;; «.bell-sia» (to "bell-sia") ;; «.bellin» (to "bellin") ;; «.benabou» (to "benabou") ;; «.benabou-fibfo» (to "benabou-fibfo") ;; «.benini» (to "benini") ;; «.benzuller-mscott» (to "benzuller-mscott") ;; «.blackwell-kelly-power» (to "blackwell-kelly-power") ;; «.blass» (to "blass") ;; «.blechschmidt» (to "blechschmidt") ;; «.blute-scott» (to "blute-scott") ;; «.boisseau» (to "boisseau") ;; «.boisseau-gibbons» (to "boisseau-gibbons") ;; «.borceux» (to "borceux") ;; «.bradley» (to "bradley") ;; «.bradley-bryson-terilla» (to "bradley-bryson-terilla") ;; «.brandenburg» (to "brandenburg") ;; «.brown» (to "brown") ;; «.burroni» (to "burroni") ;; «.caccamo» (to "caccamo") ;; «.caccamo-phd» (to "caccamo-phd") ;; «.caccamo-winskel» (to "caccamo-winskel") ;; «.cahali» (to "cahali") ;; «.capucci» (to "capucci") ;; «.caramello» (to "caramello") ;; «.caramello-tfil» (to "caramello-tfil") ;; «.carter» (to "carter") ;; «.cassidy-hebert-kelly» (to "cassidy-hebert-kelly") ;; «.caterina» (to "caterina") ;; «.caterina-gangle» (to "caterina-gangle") ;; «.caterina-gangle-tohme» (to "caterina-gangle-tohme") ;; «.cheng» (to "cheng") ;; «.cheng-morally» (to "cheng-morally") ;; «.cheng-cakes» (to "cheng-cakes") ;; «.cheng-lauda» (to "cheng-lauda") ;; «.chrein» (to "chrein") ;; «.clarke» (to "clarke") ;; «.cockett» (to "cockett") ;; «.coecke» (to "coecke") ;; «.coecke-newstrup» (to "coecke-newstrup") ;; «.coecke-genovese-marsden» (to "coecke-genovese-marsden") ;; «.coniglio-miraglia» (to "coniglio-miraglia") ;; «.coniglio-sernadas» (to "coniglio-sernadas") ;; «.coecke-gogioso-pinzani» (to "coecke-gogioso-pinzani") ;; «.coecke-kgqm» (to "coecke-kgqm") ;; «.coecke-kgqmg» (to "coecke-kgqmg") ;; «.corry» (to "corry") ;; «.coya» (to "coya") ;; «.crolard» (to "crolard") ;; «.crole» (to "crole") ;; «.crosilla» (to "crosilla") ;; «.dana-scott» (to "dana-scott") ;; «.depaiva» (to "depaiva") ;; «.detoffoli» (to "detoffoli") ;; «.diaconescu» (to "diaconescu") ;; «.diaconescu-qvis» (to "diaconescu-qvis") ;; «.dieudonne» (to "dieudonne") ;; «.dosen» (to "dosen") ;; «.dubuc-kelly» (to "dubuc-kelly") ;; «.duval» (to "duval") ;; «.dyson» (to "dyson") ;; «.eberhart-hirschowitz» (to "eberhart-hirschowitz") ;; «.eilenberg» (to "eilenberg") ;; «.eilenberg-maclane» (to "eilenberg-maclane") ;; «.eilenberg-moore» (to "eilenberg-moore") ;; «.eilenberg-steenrod» (to "eilenberg-steenrod") ;; «.elliott» (to "elliott") ;; «.erbele» (to "erbele") ;; «.erne-gehrke-pultr» (to "erne-gehrke-pultr") ;; «.fausk-hu-may» (to "fausk-hu-may") ;; «.fiore» (to "fiore") ;; «.fong» (to "fong") ;; «.fong-myers-spivak» (to "fong-myers-spivak") ;; «.fong-milewski-spivak» (to "fong-milewski-spivak") ;; «.fong-spivak» (to "fong-spivak") ;; «.fong-spivak-grl» (to "fong-spivak-grl") ;; «.freyd» (to "freyd") ;; «.freyd-aspects» (to "freyd-aspects") ;; «.freyd-aspectscorr» (to "freyd-aspectscorr") ;; «.freyd76» (to "freyd76") ;; «.freyd-abcats» (to "freyd-abcats") ;; «.freyd-kelly» (to "freyd-kelly") ;; «.freyd-scedrov» (to "freyd-scedrov") ;; «.fritz-perrone» (to "fritz-perrone") ;; «.fuehrmann» (to "fuehrmann") ;; «.gabriel-zisman» (to "gabriel-zisman") ;; «.gaina-kowalski» (to "gaina-kowalski") ;; «.gangle» (to "gangle") ;; «.garner» (to "garner") ;; «.garner-lemay» (to "garner-lemay") ;; «.gavranovicphd» (to "gavranovicphd") ;; «.genovese» (to "genovese") ;; «.genovese-idris-ct» (to "genovese-idris-ct") ;; «.gilmore-tsiknis» (to "gilmore-tsiknis") ;; «.godement» (to "godement") ;; «.gogioso» (to "gogioso") ;; «.goguen» (to "goguen") ;; «.goldblatt» (to "goldblatt") ;; «.gorard-namuduri-arsiwalla» (to "gorard-namuduri-arsiwalla") ;; «.gray» (to "gray") ;; «.gray-histsheaf» (to "gray-histsheaf") ;; «.grothendieck» (to "grothendieck") ;; «.grothendieck-ams» (to "grothendieck-ams") ;; «.grothendieck-kansas» (to "grothendieck-kansas") ;; «.grothendieck-sga1» (to "grothendieck-sga1") ;; «.grothendieck-sga41» (to "grothendieck-sga41") ;; «.grothendieck-tohoku» (to "grothendieck-tohoku") ;; «.grothendieck-fga» (to "grothendieck-fga") ;; «.grothendieck-sb» (to "grothendieck-sb") ;; «.guitart» (to "guitart") ;; «.guitart-slfd» (to "guitart-slfd") ;; «.hadzihasanovic» (to "hadzihasanovic") ;; «.hazratpour» (to "hazratpour") ;; «.haeusler-finct» (to "haeusler-finct") ;; «.heijltjes» (to "heijltjes") ;; «.heller-tierney» (to "heller-tierney") ;; «.hellman-sommaruga» (to "hellman-sommaruga") ;; «.hemelaer» (to "hemelaer") ;; «.hemelaer-gtposets» (to "hemelaer-gtposets") ;; «.hemelaer-rogers» (to "hemelaer-rogers") ;; «.himmel» (to "himmel") ;; «.hofstra-scott» (to "hofstra-scott") ;; «.hu-carette» (to "hu-carette") ;; «.huber» (to "huber") ;; «.hughes» (to "hughes") ;; «.hughes-pavlovic» (to "hughes-pavlovic") ;; «.hyland» (to "hyland") ;; «.hyland-pitts» (to "hyland-pitts") ;; «.isaev» (to "isaev") ;; «.isham» (to "isham") ;; «.jacobs» (to "jacobs") ;; «.jacobs-coalgebra» (to "jacobs-coalgebra") ;; «.jacobs-phd» (to "jacobs-phd") ;; «.johnstone» (to "johnstone") ;; «.johnstone-topostheory» (to "johnstone-topostheory") ;; «.johnstone-stonespaces» (to "johnstone-stonespaces") ;; «.johnstone-elephant» (to "johnstone-elephant") ;; «.johnstone-fact1» (to "johnstone-fact1") ;; «.johnstone-fact2» (to "johnstone-fact2") ;; «.joyal» (to "joyal") ;; «.joyal-nielsen-winskel» (to "joyal-nielsen-winskel") ;; «.joyal-street» (to "joyal-street") ;; «.joyal-tierney» (to "joyal-tierney") ;; «.julesh» (to "julesh") ;; «.julesh-opengames» (to "julesh-opengames") ;; «.kan» (to "kan") ;; «.kassel» (to "kassel") ;; «.kelly» (to "kelly") ;; «.kelly-lack» (to "kelly-lack") ;; «.kelly-street» (to "kelly-street") ;; «.kim-oh-kim» (to "kim-oh-kim") ;; «.kleisli» (to "kleisli") ;; «.kock» (to "kock") ;; «.kock-sgm-final» (to "kock-sgm-final") ;; «.kromer» (to "kromer") ;; «.kromer-slides» (to "kromer-slides") ;; «.lafont» (to "lafont") ;; «.lambek» (to "lambek") ;; «.lambek-dedsc1» (to "lambek-dedsc1") ;; «.lambek-dedsc2» (to "lambek-dedsc2") ;; «.lambek86» (to "lambek86") ;; «.lambek90th» (to "lambek90th") ;; «.lambek-scott» (to "lambek-scott") ;; «.landry» (to "landry") ;; «.landry-asif» (to "landry-asif") ;; «.lavendhomme» (to "lavendhomme") ;; «.lawvere» (to "lawvere") ;; «.lawvere-adjfo» (to "lawvere-adjfo") ;; «.lawvere-diag» (to "lawvere-diag") ;; «.lawvere-equahyp» (to "lawvere-equahyp") ;; «.lawvere-taking» (to "lawvere-taking") ;; «.lawvere-etcs» (to "lawvere-etcs") ;; «.lawvere-perugia» (to "lawvere-perugia") ;; «.lawvere-thesis» (to "lawvere-thesis") ;; «.lawvere-rosebrugh» (to "lawvere-rosebrugh") ;; «.lawvere-schanuel» (to "lawvere-schanuel") ;; «.lawvere-interview» (to "lawvere-interview") ;; «.lawvere-comments» (to "lawvere-comments") ;; «.leinster» (to "leinster") ;; «.leinster-basic» (to "leinster-basic") ;; «.leinster-topos» (to "leinster-topos") ;; «.leung» (to "leung") ;; «.licata» (to "licata") ;; «.licata-pitts-spitters» (to "licata-pitts-spitters") ;; «.licata-vett» (to "licata-vett") ;; «.lindenhovius-gtop» (to "lindenhovius-gtop") ;; «.lindenhovius-phd» (to "lindenhovius-phd") ;; «.logan» (to "logan") ;; «.loregian» (to "loregian") ;; «.low» (to "low") ;; «.lucatelli» (to "lucatelli") ;; «.lucatelli-sfd» (to "lucatelli-sfd") ;; «.lucatelli-pseudokan» (to "lucatelli-pseudokan") ;; «.lucatelli-pseudoa» (to "lucatelli-pseudoa") ;; «.lurie» (to "lurie") ;; «.lurieht» (to "lurieht") ;; «.macdonald-sobral» (to "macdonald-sobral") ;; «.maclane» (to "maclane") ;; «.maclane-bowdoin» (to "maclane-bowdoin") ;; «.maclane-ca» (to "maclane-ca") ;; «.maclane-moerdijk» (to "maclane-moerdijk") ;; «.maietti» (to "maietti") ;; «.maneggia» (to "maneggia") ;; «.mannone» (to "mannone") ;; «.marmolejo» (to "marmolejo") ;; «.marquis» (to "marquis") ;; «.marquis-reyes» (to "marquis-reyes") ;; «.maruyama» (to "maruyama") ;; «.marsden» (to "marsden") ;; «.marsden-dragging» (to "marsden-dragging") ;; «.marsden-ctusd» (to "marsden-ctusd") ;; «.maschio» (to "maschio") ;; «.master» (to "master") ;; «.mazur» (to "mazur") ;; «.mclarty» (to "mclarty") ;; «.mclarty-risingsea» (to "mclarty-risingsea") ;; «.mclarty-twocons» (to "mclarty-twocons") ;; «.meleiro» (to "meleiro") ;; «.mellies» (to "mellies") ;; «.mellies-zeilberger-hyp» (to "mellies-zeilberger-hyp") ;; «.menni» (to "menni") ;; «.milewski» (to "milewski") ;; «.milewski-ctfp» (to "milewski-ctfp") ;; «.milewski-dao» (to "milewski-dao") ;; «.mitchell» (to "mitchell") ;; «.mitchell-rso» (to "mitchell-rso") ;; «.miraglia» (to "miraglia") ;; «.moeller» (to "moeller") ;; «.moerdijk» (to "moerdijk") ;; «.moerdijk-reyes» (to "moerdijk-reyes") ;; «.mortberg» (to "mortberg") ;; «.myers» (to "myers") ;; «.myersdynb» (to "myersdynb") ;; «.myers-yeveq» (to "myers-yeveq") ;; «.oberg» (to "oberg") ;; «.ochs» (to "ochs") ;; «.paixao» (to "paixao") ;; «.pare-schumacher» (to "pare-schumacher") ;; «.pareigis» (to "pareigis") ;; «.pavlovic» (to "pavlovic") ;; «.paykin-zdancewic» (to "paykin-zdancewic") ;; «.pedicchio» (to "pedicchio") ;; «.pedicchio-tholen» (to "pedicchio-tholen") ;; «.pedrot» (to "pedrot") ;; «.pedrot-sheaftt» (to "pedrot-sheaftt") ;; «.pedrot-markov» (to "pedrot-markov") ;; «.pelissier» (to "pelissier") ;; «.perrone» (to "perrone") ;; «.perrone-kan» (to "perrone-kan") ;; «.piaget» (to "piaget") ;; «.picado-pultr» (to "picado-pultr") ;; «.pierce» (to "pierce") ;; «.plotkin» (to "plotkin") ;; «.power» (to "power") ;; «.power-pasting» (to "power-pasting") ;; «.pratt» (to "pratt") ;; «.pym-ritter» (to "pym-ritter") ;; «.rabe» (to "rabe") ;; «.rabe-diagops» (to "rabe-diagops") ;; «.reddy» (to "reddy") ;; «.reutter-vicary» (to "reutter-vicary") ;; «.reyes» (to "reyes") ;; «.riehl» (to "riehl") ;; «.riehl-matrices» (to "riehl-matrices") ;; «.rileycops» (to "rileycops") ;; «.rivas» (to "rivas") ;; «.roberts-fixps» (to "roberts-fixps") ;; «.rodin» (to "rodin") ;; «.roman» (to "roman") ;; «.rosebrugh-wood» (to "rosebrugh-wood") ;; «.rosiak» (to "rosiak") ;; «.rydeheard-burstall» (to "rydeheard-burstall") ;; «.schubert» (to "schubert") ;; «.scedrov» (to "scedrov") ;; «.scott» (to "scott") ;; «.seely» (to "seely") ;; «.seely-hyp» (to "seely-hyp") ;; «.seely-lccc» (to "seely-lccc") ;; «.seely-plc» (to "seely-plc") ;; «.seely-diff» (to "seely-diff") ;; «.seely-cartdiffstor» (to "seely-cartdiffstor") ;; «.seely-dcr» (to "seely-dcr") ;; «.seely-lics» (to "seely-lics") ;; «.seely-thesis» (to "seely-thesis") ;; «.seely-bang» (to "seely-bang") ;; «.seely-cut» (to "seely-cut") ;; «.seely-sum-prod» (to "seely-sum-prod") ;; «.selinger» (to "selinger") ;; «.selinger-ln» (to "selinger-ln") ;; «.selinger-surveygl» (to "selinger-surveygl") ;; «.shulman» (to "shulman") ;; «.shulman-catlog» (to "shulman-catlog") ;; «.shulman-starautenv» (to "shulman-starautenv") ;; «.shulman-2chud» (to "shulman-2chud") ;; «.shulman-brouwer» (to "shulman-brouwer") ;; «.shulman-linear» (to "shulman-linear") ;; «.shulman-lnl» (to "shulman-lnl") ;; «.shulman-stacksem» (to "shulman-stacksem") ;; «.simmons» (to "simmons") ;; «.simmons-omegasets» (to "simmons-omegasets") ;; «.smith» (to "smith") ;; «.sobocinski» (to "sobocinski") ;; «.sobocinski-peirce» (to "sobocinski-peirce") ;; «.sobocinski-ihopfa» (to "sobocinski-ihopfa") ;; «.sommaruga» (to "sommaruga") ;; «.soto-andrade» (to "soto-andrade") ;; «.spivak» (to "spivak") ;; «.spivak-dmig» (to "spivak-dmig") ;; «.stay» (to "stay") ;; «.sterling» (to "sterling") ;; «.street» (to "street") ;; «.street-walters» (to "street-walters") ;; «.streicher» (to "streicher") ;; «.szabo» (to "szabo") ;; «.tambara» (to "tambara") ;; «.tarlecki» (to "tarlecki") ;; «.tarlecki-casl» (to "tarlecki-casl") ;; «.taylor» (to "taylor") ;; «.tennison» (to "tennison") ;; «.tenorio» (to "tenorio") ;; «.tenorio-isocsq» (to "tenorio-isocsq") ;; «.tilson» (to "tilson") ;; «.trimble» (to "trimble") ;; «.tuhola» (to "tuhola") ;; «.tupinamba-yao» (to "tupinamba-yao") ;; «.vakar» (to "vakar") ;; «.valero» (to "valero") ;; «.van_oosten» (to "van_oosten") ;; «.vicary» (to "vicary") ;; «.vicary-globular» (to "vicary-globular") ;; «.vickers» (to "vickers") ;; «.vistoli» (to "vistoli") ;; «.voevodsky» (to "voevodsky") ;; «.willerton» (to "willerton") ;; «.williams» (to "williams") ;; «.winskel» (to "winskel") ;; «.wolter» (to "wolter") ;; «.wood» (to "wood") ;; «.yanofksy» (to "yanofksy") ;; «.yoneda» (to "yoneda") ;; «.yorgey» (to "yorgey") ;; «.zalamea-fraser» (to "zalamea-fraser") ;; «.zhang-ttct» (to "zhang-ttct") ;; «.diagrams2020» (to "diagrams2020") ;; «.lncs0242» (to "lncs0242") ;; «.slnm0274» (to "slnm0274") ;; «.slnm0661» (to "slnm0661") ;; «.slnm0753» (to "slnm0753") ;; «.fourman» (to "fourman") ;; «.fourman-scott» (to "fourman-scott") ;; «.slnm1348» (to "slnm1348") ;; «.slnm1448» (to "slnm1448") ;; «.slnm1915» (to "slnm1915") ;; «.tlca2011» (to "tlca2011") ;; «act2020-links» (to ".act2020-links") ;; https://github.com/statebox/awesome-applied-ct ;; https://codi.lassul.us/HqlF3K2CR0eYcpUbiOnneA?view ;; https://github.com/jozefg/learn-tt ;; «abramsky» (to ".abramsky") ;; Samson Abramsky: "Information, Processes and Games" ;; https://arxiv.org/abs/1604.02603 ;; https://arxiv.org/pdf/1604.02603.pdf (code-pdf-page "abramskyipg" "$S/https/arxiv.org/pdf/1604.02603.pdf") (code-pdf-text "abramskyipg" "$S/https/arxiv.org/pdf/1604.02603.pdf") ;; (find-abramskyipgpage) ;; (find-abramskyipgtext) ;; (find-abramskyipgpage 1 "Contents") ;; (find-abramskyipgtext 1 "Contents") ;; «abramsky-tzevelekos» (to ".abramsky-tzevelekos") ;; (find-books "__cats/__cats.el" "abramsky-tzevelekos") ;; (find-books "__cats/__cats.el" "coecke-newstrup") ;; Samson Abramsky and Nikos Tzevelekos: "Introduction to Categories and Categorical Logic" (2011) ;; (find-sh0 "cp -v $S/https/arxiv.org/pdf/1102.1313.pdf /tmp/abramsky_tzevelekos.pdf") ;; https://arxiv.org/abs/1102.1313 ;; https://arxiv.org/pdf/1102.1313.pdf ;; (find-fline "$S/https/arxiv.org/pdf/") ;; (find-psne-arxiv-links "https://arxiv.org/pdf/1102.1313.pdf" "abramskyticcl") (code-pdf-page "abramskyticcl" "$S/https/arxiv.org/pdf/1102.1313.pdf") (code-pdf-text "abramskyticcl" "$S/https/arxiv.org/pdf/1102.1313.pdf") ;; (find-abramskyticclpage) ;; (find-abramskyticcltext) ;; (find-abramskyticclpage 5 "Contents") ;; (find-abramskyticcltext 5 "Contents") ;; (find-abramskyticclpage 1 "1 Introduction to Categories and Categorical Logic") ;; (find-abramskyticclpage 7 "1.1 Introduction") ;; (find-abramskyticclpage 8 "1.1.1 From Elements To Arrows") ;; (find-abramskyticclpage 9 "1.1.2 Categories Defined") ;; (find-abramskyticclpage 10 "1.1.3 Diagrams in Categories") ;; (find-abramskyticclpage 12 "1.1.4 Examples") ;; (find-abramskyticclpage 14 "1.1.5 First Notions") ;; (find-abramskyticclpage 17 "1.1.6 Exercises") ;; (find-abramskyticclpage 17 "1.2 Some Basic Constructions") ;; (find-abramskyticclpage 17 "1.2.1 Initial and Terminal Objects") ;; (find-abramskyticclpage 19 "1.2.2 Products and Coproducts") ;; (find-abramskyticclpage 24 "1.2.3 Pullbacks and Equalisers") ;; (find-abramskyticclpage 27 "1.2.4 Limits and Colimits") ;; (find-abramskyticclpage 27 "1.2.5 Exercises") ;; (find-abramskyticclpage 27 "1.3 Functors") ;; (find-abramskyticclpage 28 "1.3.1 Basics") ;; (find-abramskyticclpage 30 "1.3.2 Further Examples") ;; (find-abramskyticclpage 32 "1.3.3 Contravariance") ;; (find-abramskyticclpage 33 "1.3.4 Properties of Functors") ;; (find-abramskyticclpage 35 "1.3.5 Exercises") ;; (find-abramskyticclpage 35 "1.4 Natural Transformations") ;; (find-abramskyticclpage 35 "1.4.1 Basics") ;; (find-abramskyticclpage 38 "1.4.2 Further Examples") ;; (find-abramskyticclpage 40 "1.4.3 Functor Categories") ;; (find-abramskyticclpage 41 "1.4.4 Exercises") ;; (find-abramskyticclpage 42 "1.5 Universality and Adjoints") ;; (find-abramskyticclpage 43 "1.5.1 Adjunctions for Posets") ;; (find-abramskyticclpage 46 "1.5.2 Universal Arrows and Adjoints") ;; (find-abramskyticclpage 52 "1.5.3 Limits and Colimits") ;; (find-abramskyticclpage 53 "1.5.4 Exponentials") ;; (find-abramskyticclpage 55 "1.5.5 Exercises") ;; (find-abramskyticclpage 56 "1.6 The Curry-Howard Correspondence") ;; (find-abramskyticclpage 57 "1.6.1 Logic") ;; (find-abramskyticclpage 58 "1.6.2 Computation") ;; (find-abramskyticclpage 62 "1.6.3 Simply-Typed -calculus") ;; (find-abramskyticclpage 66 "1.6.4 Categories") ;; (find-abramskyticclpage 67 "1.6.5 Categorical Semantics of Simply-Typed -calculus") ;; (find-abramskyticclpage 70 "1.6.6 Completeness?") ;; (find-abramskyticclpage 73 "1.6.7 Exercises") ;; (find-abramskyticclpage 73 "1.7 Linearity") ;; (find-abramskyticclpage 74 "1.7.1 Gentzen Sequent Calculus") ;; (find-abramskyticclpage 75 "1.7.2 Linear Logic") ;; (find-abramskyticclpage 78 "1.7.3 Linear Logic in Monoidal Categories") ;; (find-abramskyticclpage 82 "1.7.4 Beyond the Multiplicatives") ;; (find-abramskyticclpage 84 "1.7.5 Exercises") ;; (find-abramskyticclpage 85 "1.8 Monads and Comonads") ;; (find-abramskyticclpage 86 "1.8.1 Basics") ;; (find-abramskyticclpage 88 "1.8.2 (Co)Monads of an Adjunction") ;; (find-abramskyticclpage 89 "1.8.3 The Kleisli Construction") ;; (find-abramskyticclpage 92 "1.8.4 Modelling of Linear Exponentials") ;; (find-abramskyticclpage 97 "1.8.5 Exercises") ;; (find-abramskyticclpage 98 "1.9 Review of Sets, Functions and Relations") ;; (find-abramskyticclpage 100 "1.10 Guide to Further Reading") ;; (find-abramskyticclpage 101 "References") ;; Tables: ;; (find-abramskyticclpage 27 "1.1 Examples of Limits and Colimits.") ;; (find-abramskyticclpage 56 "1.2 The Curry-Howard Correspondence.") ;; (find-abramskyticclpage 57 "1.3 Natural Deduction System for ,.") ;; (find-abramskyticclpage 59 "1.4 Examples of -terms.") ;; (find-abramskyticclpage 63 "1.5 Simply-Typed -calculus for ×,") ;; (find-abramskyticclpage 65 "1.6 Correspondence between Logic and Computation.") ;; (find-abramskyticclpage 66 "1.7 Correspondence between Logic and Categories.") ;; (find-abramskyticclpage 74 "1.8 Structural Rules for Logic.") ;; (find-abramskyticclpage 75 "1.9 Gentzen Sequent Calculus for ,.") ;; (find-abramskyticclpage 76 "1.10 Rules for ,-Linear Logic.") ;; (find-abramskyticclpage 77 "1.11 Linear -calculus for ,") ;; (find-abramskyticclpage 82 "1.12 Categorical Translation of ,-Linear Logic.") ;; «aguzzoli» (to ".aguzzoli") ;; (find-books "__cats/__cats.el" "aguzzoli") ;; https://homes.di.unimi.it/~aguzzoli/ ;; https://homes.di.unimi.it/~aguzzoli/publications.html ;; "Godel-Dummett logic, the category of forests, and topoi" (code-pdf-page "aguzzolic19" "~/books/__cats/aguzzoli__creativity19.pdf") (code-pdf-text "aguzzolic19" "~/books/__cats/aguzzoli__creativity19.pdf" 1) ;; (find-aguzzolic19page) ;; (find-aguzzolic19page 1 "Contents") ;; (find-aguzzolic19page (+ 1 189) "Index") ;; (find-aguzzolic19text "") ;; «ahrens» (to ".ahrens") ;; (find-books "__cats/__cats.el" "ahrens") ;; https://benediktahrens.net/talks/IHP_Ahrens.pdf ;; "Formalizing category theory in type theory" (slides, 2014) (code-pdf-page "ahrensihp" "$S/https/benediktahrens.net/talks/IHP_Ahrens.pdf") (code-pdf-text "ahrensihp" "$S/https/benediktahrens.net/talks/IHP_Ahrens.pdf") ;; (find-ahrensihppage) ;; (find-ahrensihptext) ;; «almeida» (to ".almeida") ;; (find-books "__cats/__cats.el" "almeida") (code-pdf-page "almeidasintinst" "~/books/__cats/almeida__em_busca_de_uma_teoria_sintetica_de_instituicoes.pdf") (code-pdf-text "almeidasintinst" "~/books/__cats/almeida__em_busca_de_uma_teoria_sintetica_de_instituicoes.pdf" 1) ;; (find-almeidasintinstpage) ;; (find-almeidasintinstpage 9 "Y_C/F") ;; (find-almeidasintinstpage 32 "adjunto à direita inverso à direita") ;; (find-almeidasintinstpage (+ 1 189) "Index") ;; (find-almeidasintinsttext "") ;; «angot-pellissier» (to ".angot-pellissier") ;; (find-books "__cats/__cats.el" "angot-pellissier") (code-pdf-page "angotpellissiertriss" "~/books/__cats/angot-pellissier__trisimplex_for_square.pdf") (code-pdf-text "angotpellissiertriss" "~/books/__cats/angot-pellissier__trisimplex_for_square.pdf" 1) ;; (find-angotpellissiertrisspage) ;; (find-angotpellissiertrisspage 1 "Contents") ;; (find-angotpellissiertrisspage (+ 1 189) "Index") ;; (find-angotpellissiertrisstext "") ;; «arbibmanes» (to ".arbibmanes") ;; http://gigapedia.com/items/110329/arrows--structures--and-functors--the-categorical-imperative (code-djvu "arbibmanes" "~/books/__cats/arbib_manes__arrows_structures_and_functors_the_categorical_imperative.djvu") ;; (find-arbibmanespage 1 "Contents") ;; (find-arbibmanespage (+ 5 178) "Index") ;; «arndt» (to ".arndt") ;; http://reh.math.uni-duesseldorf.de/~arndt/research.eng.htm (code-pdf-page "ptss" "~/books/__cats/arndt_mariano_pinto__PTSs.pdf") (code-pdf-text "ptss" "~/books/__cats/arndt_mariano_pinto__PTSs.pdf" 1) ;; (find-ptsspage) ;; (find-ptsspage 1 "Contents") ;; (find-ptsspage (+ 1 189) "Index") ;; (find-ptsstext "") ;; Peter Arndt: "Finitude em topos" (code-xpdf "arndt" "~/books/__cats/arndt__finitude_em_topos.pdf") (code-pdf-text "arndt" "~/books/__cats/arndt__finitude_em_topos.pdf") ;; (find-arndtpage) ;; (find-arndtpage 25) ;; (find-arndttext) ;; ;; http://reh.math.uni-duesseldorf.de/~arndt/research/HomotopicalCategoriesOfLogics.pdf (code-pdf-page "arndthc" "$S/http/reh.math.uni-duesseldorf.de/~arndt/research/HomotopicalCategoriesOfLogics.pdf") (code-pdf-text "arndthc" "$S/http/reh.math.uni-duesseldorf.de/~arndt/research/HomotopicalCategoriesOfLogics.pdf") ;; (find-arndthcpage) ;; (find-arndthctext) ;; ;; "A Global Glance on Categories in Logic": ;; https://link.springer.com/article/10.1007/s11787-006-0002-7 ;; https://doi.org/10.1007/s11787-006-0002-7 ;; ;; "Homotopy Theoretic Models of Type Theory": ;; https://arxiv.org/abs/1208.5683 ;; https://arxiv.org/pdf/1208.5683.pdf (code-pdf-page "arndthtmtt" "$S/https/arxiv.org/pdf/1208.5683.pdf") (code-pdf-text "arndthtmtt" "$S/https/arxiv.org/pdf/1208.5683.pdf") ;; (find-arndthtmttpage) ;; (find-arndthtmtttext) ;; «asperti» (to ".asperti") ;; (find-books "__cats/__cats.el" "asperti") ;; http://www.cs.unibo.it/~asperti/research.html ;; http://www.cs.unibo.it/~asperti/papers.html ;; https://cstheory.stackexchange.com/questions/45628/semantic-read-back-of-sharing-graphs ;; https://people.bath.ac.uk/drs32/files/PCC_2016_paper.pdf ;; ;; «asperti-dummies» (to ".asperti-dummies") ;; http://www.cs.unibo.it/~asperti/PAPERS/dummy.pdf ;; "Type systems for dummies" (code-pdf-page "aspertidummies" "$S/http/www.cs.unibo.it/~asperti/PAPERS/dummy.pdf") (code-pdf-text "aspertidummies" "$S/http/www.cs.unibo.it/~asperti/PAPERS/dummy.pdf") ;; (find-aspertidummiespage) ;; (find-aspertidummiestext) ;; «asperti-er» (to ".asperti-er") ;; "About the efficient reduction of lambda terms" ;; https://arxiv.org/abs/1701.04240 ;; https://arxiv.org/pdf/1701.04240.pdf (code-pdf-page "aspertier" "$S/https/arxiv.org/pdf/1701.04240.pdf") (code-pdf-text "aspertier" "$S/https/arxiv.org/pdf/1701.04240.pdf") ;; (find-aspertierpage) ;; (find-aspertiertext) ;; Hints in unification: ;; http://www.cs.unibo.it/~asperti/PAPERS/tphol09.pdf (code-pdf-page "aspertihiu" "$S/http/www.cs.unibo.it/~asperti/PAPERS/tphol09.pdf") (code-pdf-text "aspertihiu" "$S/http/www.cs.unibo.it/~asperti/PAPERS/tphol09.pdf") ;; (find-aspertihiupage) ;; (find-aspertihiutext) ;; «asperti-longo» (to ".asperti-longo") ;; (find-books "__cats/__cats.el" "asperti-longo") ;; https://www.iea-nantes.fr/en/chercheurs/longo-giuseppe_275 ;; https://www.di.ens.fr/users/longo/files/CategTypesStructures/book.pdf (code-pdf-page "aspertilongo" "$S/https/www.di.ens.fr/users/longo/files/CategTypesStructures/book.pdf") (code-pdf-text "aspertilongo" "$S/https/www.di.ens.fr/users/longo/files/CategTypesStructures/book.pdf") ;; (find-aspertilongopage) ;; (find-aspertilongotext) ;; (find-aspertilongopage 5 "CONTENTS") ;; (find-aspertilongotext 5 "CONTENTS") ;; (find-aspertilongopage (+ 7 1) "PART I: Categories and Structures") ;; (find-aspertilongopage (+ 7 1) "1. CATEGORIES") ;; (find-aspertilongopage (+ 7 1) "1.1 Category: Definition and Examples") ;; (find-aspertilongopage (+ 7 3) "1.2 Diagrams") ;; (find-aspertilongopage (+ 7 4) "1.3 Categories out of Categories") ;; (find-aspertilongopage (+ 7 5) "1.4 Monic, Epic, and Principal Morphisms") ;; (find-aspertilongopage (+ 7 8) "1.5 Subobjects") ;; (find-aspertilongopage (+ 7 10) "2. CONSTRUCTIONS") ;; (find-aspertilongopage (+ 7 10) "2.1 Initial and Terminal Objects") ;; (find-aspertilongopage (+ 7 12) "2.2 Products and Coproducts") ;; (find-aspertilongopage (+ 7 15) "2.3 Exponentials") ;; (find-aspertilongopage (+ 7 20) "2.4 Examples of CCC's") ;; (find-aspertilongopage (+ 7 20) "2.4.1 Scott Domains") ;; (find-aspertilongopage (+ 7 24) "2.4.2 Coherent Domains") ;; (find-aspertilongopage (+ 7 27) "2.5 Equalizers and Pullbacks") ;; (find-aspertilongopage (+ 7 31) "2.6 Partial Morphisms and Complete Objects") ;; (find-aspertilongopage (+ 7 35) "2.7 Subobject Classifiers and Topoi") ;; (find-aspertilongopage (+ 7 40) "3. FUNCTORS AND NATURAL TRANSFORMATIONS") ;; (find-aspertilongopage (+ 7 40) "3.1 Functors") ;; (find-aspertilongopage (+ 7 45) "3.2 Natural Transformations") ;; (find-aspertilongopage (+ 7 51) "3.3 Cartesian and Cartesian Closed Categories Revisited") ;; (find-aspertilongopage (+ 7 54) "3.4 More Examples of CCC's") ;; (find-aspertilongopage (+ 7 54) "3.4.1 Partial Equivalence Relations") ;; (find-aspertilongopage (+ 7 55) "3.4.2 Limit and Filter Spaces") ;; (find-aspertilongopage (+ 7 58) "3.5 Yoneda's Lemma") ;; (find-aspertilongopage (+ 7 60) "3.6 Presheaves") ;; (find-aspertilongopage (+ 7 63) "4. CATEGORIES DERIVED FROM FUNCTORS AND NATURAL TRANSFORMATIONS") ;; (find-aspertilongopage (+ 7 63) "4.1 Algebras Derived from Functors") ;; (find-aspertilongopage (+ 7 67) "4.2 From monoids to monads") ;; (find-aspertilongopage (+ 7 72) "4.3 Monoidal and monoidal closed categories") ;; (find-aspertilongopage (+ 7 79) "4.4 Monoidal Categories and Linear Logic") ;; (find-aspertilongopage (+ 7 88) "5. UNIVERSAL ARROWS AND ADJUNCTIONS") ;; (find-aspertilongopage (+ 7 89) "5.1 Universal arrows") ;; (find-aspertilongopage (+ 7 93) "5.2 From Universal Arrows toward Adjunctions") ;; (find-aspertilongopage (+ 7 97) "5.3 Adjunctions") ;; (find-aspertilongopage (+ 7 120) "6. CONES AND LIMITS") ;; (find-aspertilongopage (+ 7 120) "6.1 Limits and Colimits") ;; (find-aspertilongopage (+ 7 123) "6.2 Some Constructions Revisited") ;; (find-aspertilongopage (+ 7 125) "6.3 Existence of limits") ;; (find-aspertilongopage (+ 7 127) "6.4 Preservation and Creation of Limits") ;; (find-aspertilongopage (+ 7 130) "6.5 -limits") ;; (find-aspertilongopage (+ 7 132) "7. INDEXED AND INTERNAL CATEGORIES") ;; (find-aspertilongopage (+ 7 132) "7.1 Indexed Categories") ;; (find-aspertilongopage (+ 7 136) "7.2 Internal Category Theory") ;; (find-aspertilongopage (+ 7 143) "7.3 Internal Presheaves") ;; (find-aspertilongopage (+ 7 150) "7.4 Externalization") ;; (find-aspertilongopage (+ 7 156) "7.5 Internalization") ;; (find-aspertilongopage (+ 7 158) "Appendix") ;; (find-aspertilongopage (+ 7 166) "PART II: Types as Objects") ;; (find-aspertilongopage (+ 7 166) "8. FORMULAE, TYPES, AND OBJECTS") ;; (find-aspertilongopage (+ 7 167) "8.1 -Notation") ;; (find-aspertilongopage (+ 7 168) "8.2 The Typed -Calculus with Explicit Pairs (t)") ;; (find-aspertilongopage (+ 7 171) "8.3 The Intuitionistic Calculus of Sequents") ;; (find-aspertilongopage (+ 7 176) "8.4 The Cut-Elimination Theorem") ;; (find-aspertilongopage (+ 7 185) "8.5 Categorical Semantics of Derivations") ;; (find-aspertilongopage (+ 7 187) "8.6 The Cut-Elimination Theorem Revisited") ;; (find-aspertilongopage (+ 7 191) "8.7 Categorical Semantics of the Simply Typed Lambda Calculus") ;; (find-aspertilongopage (+ 7 197) "8.8 Fixpoint Operators and CCCs") ;; (find-aspertilongopage (+ 7 204) "9. REFLEXIVE OBJECTS AND THE TYPE-FREE LAMBDA CALCULUS") ;; (find-aspertilongopage (+ 7 206) "9.1 Combinatory Logic") ;; (find-aspertilongopage (+ 7 208) "9.2 From Categories to Functionally Complete Applicative Structures") ;; (find-aspertilongopage (+ 7 214) "9.3 Categorical Semantics of the -Calculus") ;; (find-aspertilongopage (+ 7 217) "9.4 The Categorical Abstract Machine") ;; (find-aspertilongopage (+ 7 220) "9.5 From Applicative Structures to Categories") ;; (find-aspertilongopage (+ 7 225) "9.6 Typed and Applicative Structures: Applications and Examples") ;; (find-aspertilongopage (+ 7 226) "Part 1: Provable isomorphisms of types") ;; (find-aspertilongopage (+ 7 234) "Part 2: Higher type objects as models of the type-free l-calculus") ;; (find-aspertilongopage (+ 7 241) "10. RECURSIVE DOMAIN EQUATIONS") ;; (find-aspertilongopage (+ 7 242) "10.1 The Problem of Contravariant Functors") ;; (find-aspertilongopage (+ 7 245) "10.2 0-Categories") ;; (find-aspertilongopage (+ 7 251) "11. SECOND ORDER LAMBDA CALCULUS") ;; (find-aspertilongopage (+ 7 252) "11.1 Syntax") ;; (find-aspertilongopage (+ 7 254) "11.2 The External Model") ;; (find-aspertilongopage (+ 7 257) "11.3 The External Interpretation") ;; (find-aspertilongopage (+ 7 258) "11.4 The Internal Model") ;; (find-aspertilongopage (+ 7 261) "11.5 The Internal Interpretation") ;; (find-aspertilongopage (+ 7 263) "11.6 Relating Models") ;; (find-aspertilongopage (+ 7 272) "12. EXAMPLES OF INTERNAL MODELS") ;; (find-aspertilongopage (+ 7 272) "12.1 Provable Retractions") ;; (find-aspertilongopage (+ 7 275) "12.2 PER inside -Set") ;; (find-aspertilongopage (+ 7 277) "12.3 PL-Categories Inside Their Groethendiek Completion") ;; (find-aspertilongopage (+ 7 283) "BIBLIOGRAPHY") ;; (find-aspertilongopage) ;; (find-aspertilongotext) ;; «awodey» (to ".awodey") ;; (find-books "__cats/__cats.el" "awodey") ;; https://www.andrew.cmu.edu/user/awodey/ ;; (find-LATEX "catsem-u.bib" "bib-Awodey") ;; (find-angg ".emacs.papers" "awodey") ;; (find-twusfile "tmp/2016-optativa/") ;; Steve Awodey: "Category Theory" (book) (code-pdf-page "awodeyct" "~/books/__cats/awodey__category_theory.pdf") (code-pdf-text "awodeyct" "~/books/__cats/awodey__category_theory.pdf" 10) ;; (find-awodeyctpage 7 "Contents") ;; (find-awodeycttext 7 "CONTENTS") ;; (find-awodeyctpage (+ 10 251) "Index") ;; (find-awodeycttext " INDEX\n") ;; (find-awodeyctpage (+ 10 1) "1 Categories") ;; (find-awodeyctpage (+ 10 1) "1.1 Introduction") ;; (find-awodeyctpage (+ 10 3) "1.2 Functions of sets") ;; (find-awodeyctpage (+ 10 4) "1.3 Definition of a category") ;; (find-awodeyctpage (+ 10 5) "1.4 Examples of categories") ;; (find-awodeyctpage (+ 10 11) "1.5 Isomorphisms") ;; (find-awodeyctpage (+ 10 13) "1.6 Constructions on categories") ;; (find-awodeyctpage (+ 10 16) "1.7 Free categories") ;; (find-awodeyctpage (+ 10 21) "1.8 Foundations: large, small, and locally small") ;; (find-awodeyctpage (+ 10 23) "1.9 Exercises") ;; (find-awodeyctpage (+ 10 25) "2 Abstract structures") ;; (find-awodeyctpage (+ 10 25) "2.1 Epis and monos") ;; (find-awodeyctpage (+ 10 28) "2.2 Initial and terminal objects") ;; (find-awodeyctpage (+ 10 29) "2.3 Generalized elements") ;; (find-awodeyctpage (+ 10 33) "2.4 Sections and retractions") ;; (find-awodeyctpage (+ 10 34) "2.5 Products") ;; (find-awodeyctpage (+ 10 36) "2.6 Examples of products") ;; (find-awodeyctpage (+ 10 41) "2.7 Categories with products") ;; (find-awodeyctpage (+ 10 42) "2.8 Hom-sets") ;; (find-awodeyctpage (+ 10 45) "2.9 Exercises") ;; (find-awodeyctpage (+ 10 47) "3 Duality") ;; (find-awodeyctpage (+ 10 47) "3.1 The duality principle") ;; (find-awodeyctpage (+ 10 49) "3.2 Coproducts") ;; (find-awodeyctpage (+ 10 54) "3.3 Equalizers") ;; (find-awodeyctpage (+ 10 57) "3.4 Coequalizers") ;; (find-awodeyctpage (+ 10 63) "3.5 Exercises") ;; (find-awodeyctpage (+ 10 65) "4 Groups and categories") ;; (find-awodeyctpage (+ 10 65) "4.1 Groups in a category") ;; (find-awodeyctpage (+ 10 68) "4.2 The category of groups") ;; (find-awodeyctpage (+ 10 70) "4.3 Groups as categories") ;; (find-awodeyctpage (+ 10 73) "4.4 Finitely presented categories") ;; (find-awodeyctpage (+ 10 74) "4.5 Exercises") ;; (find-awodeyctpage (+ 10 77) "5 Limits and colimits") ;; (find-awodeyctpage (+ 10 77) "5.1 Subobjects") ;; (find-awodeyctpage (+ 10 80) "5.2 Pullbacks") ;; (find-awodeyctpage (+ 10 84) "5.3 Properties of pullbacks") ;; (find-awodeyctpage (+ 10 89) "5.4 Limits") ;; (find-awodeyctpage (+ 10 94) "5.5 Preservation of limits") ;; (find-awodeyctpage (+ 10 95) "5.6 Colimits") ;; (find-awodeyctpage (+ 10 102) "5.7 Exercises") ;; (find-awodeyctpage (+ 10 105) "6 Exponentials") ;; (find-awodeyctpage (+ 10 105) "6.1 Exponential in a category") ;; (find-awodeyctpage (+ 10 108) "6.2 Cartesian closed categories") ;; (find-awodeyctpage (+ 10 113) "6.3 Heyting algebras") ;; (find-awodeyctpage (+ 10 118) "6.4 Equational definition") ;; (find-awodeyctpage (+ 10 119) "6.5 lambda-calculus") ;; (find-awodeyctpage (+ 10 123) "6.6 Exercises") ;; (find-awodeyctpage (+ 10 125) "7 Functors and naturality") ;; (find-awodeyctpage (+ 10 125) "7.1 Category of categories") ;; (find-awodeyctpage (+ 10 127) "7.2 Representable structure") ;; (find-awodeyctpage (+ 10 131) "7.3 Stone duality") ;; (find-awodeyctpage (+ 10 133) "7.4 Naturality") ;; (find-awodeyctpage (+ 10 134) "as a \"cylinder\"") ;; (find-awodeycttext (+ 10 134) "as a \"cylinder\"") ;; (find-awodeyctpage (+ 10 135) "7.5 Examples of natural transformations") ;; (find-awodeyctpage (+ 10 139) "7.6 Exponentials of categories") ;; (find-awodeyctpage (+ 10 142) "7.7 Functor categories") ;; (find-awodeyctpage (+ 10 146) "7.8 Equivalence of categories") ;; (find-awodeyctpage (+ 10 150) "7.9 Examples of equivalence") ;; (find-awodeyctpage (+ 10 155) "7.10 Exercises") ;; (find-awodeyctpage (+ 10 159) "8 Categories of diagrams") ;; (find-awodeyctpage (+ 10 159) "8.1 Set-valued functor categories") ;; (find-awodeyctpage (+ 10 160) "8.2 The Yoneda embedding") ;; (find-awodeycttext (+ 10 160) "8.2 The Yoneda embedding") ;; (find-awodeyctpage (+ 10 162) "8.3 The Yoneda Lemma") ;; (find-awodeyctpage (+ 10 166) "8.4 Applications of the Yoneda Lemma") ;; (find-awodeyctpage (+ 10 167) "8.5 Limits in categories of diagrams") ;; (find-awodeyctpage (+ 10 168) "8.6 Colimits in categories of diagrams") ;; (find-awodeyctpage (+ 10 169) "category of elements") ;; (find-awodeyctpage (+ 10 171) "free cocompletion") ;; (find-awodeyctpage (+ 10 172) "8.7 Exponentials in categories of diagrams") ;; (find-awodeyctpage (+ 10 174) "8.8 Topoi") ;; (find-awodeyctpage (+ 10 176) "8.9 Exercises") ;; (find-awodeyctpage (+ 10 179) "9 Adjoints") ;; (find-awodeyctpage (+ 10 179) "9.1 Preliminary definition") ;; (find-awodeyctpage (+ 10 180) "eta") ;; (find-awodeyctpage (+ 10 183) "9.2 Hom-set definition") ;; (find-awodeyctpage (+ 10 187) "9.3 Examples of adjoints") ;; (find-awodeyctpage (+ 10 191) "9.4 Order adjoints") ;; (find-awodeyctpage (+ 10 193) "9.5 Quantifiers as adjoints") ;; (find-awodeyctpage (+ 10 197) "9.6 RAPL") ;; (find-awodeyctpage (+ 10 202) "9.7 Locally cartesian closed categories") ;; (find-awodeyctpage (+ 10 210) "9.8 Adjoint functor theorem") ;; (find-awodeyctpage (+ 10 219) "9.9 Exercises") ;; (find-awodeyctpage (+ 10 223) "10 Monads and algebras") ;; (find-awodeyctpage (+ 10 223) "10.1 The triangle identities") ;; (find-awodeyctpage (+ 10 225) "10.2 Monads and adjoints") ;; (find-awodeyctpage (+ 10 229) "10.3 Algebras for a monad") ;; (find-awodeyctpage (+ 10 234) "10.4 Comonads and coalgebras") ;; (find-awodeyctpage (+ 10 236) "10.5 Algebras for endofunctors") ;; (find-awodeyctpage (+ 10 244) "10.6 Exercises") ;; (find-awodeyctpage (+ 10 249) "References") ;; (find-awodeyctpage (+ 10 251) "Index") ;; (find-awodeyctpage (+ 10 1) "1 Categories") ;; (find-awodeyctpage (+ 10 1) "1.1 Introduction") ;; (find-awodeyctpage (+ 10 3) "1.2 Functions of sets") ;; (find-awodeyctpage (+ 10 4) "1.3 Definition of a category") ;; (find-awodeyctpage (+ 10 5) "1.4 Examples of categories") ;; (find-awodeyctpage (+ 10 11) "1.5 Isomorphisms") ;; (find-awodeyctpage (+ 10 13) "1.6 Constructions on categories") ;; (find-awodeyctpage (+ 10 16) "1.7 Free categories") ;; (find-awodeyctpage (+ 10 21) "1.8 Foundations: large, small, and locally small") ;; (find-awodeyctpage (+ 10 23) "1.9 Exercises") ;; (find-awodeyctpage (+ 10 25) "2 Abstract structures") ;; (find-awodeyctpage (+ 10 25) "2.1 Epis and monos") ;; (find-awodeyctpage (+ 10 28) "2.2 Initial and terminal objects") ;; (find-awodeyctpage (+ 10 29) "2.3 Generalized elements") ;; (find-awodeyctpage (+ 10 33) "2.4 Sections and retractions") ;; (find-awodeyctpage (+ 10 34) "2.5 Products") ;; (find-awodeyctpage (+ 10 36) "2.6 Examples of products") ;; (find-awodeyctpage (+ 10 41) "2.7 Categories with products") ;; (find-awodeyctpage (+ 10 42) "2.8 Hom-sets") ;; (find-awodeyctpage (+ 10 45) "2.9 Exercises") ;; (find-awodeycttext (+ 10 45) "2.9 Exercises") ;; (find-awodeyctpage (+ 10 47) "3 DUALITY") ;; (find-awodeyctpage (+ 10 47) "3.1 The duality principle") ;; (find-awodeycttext (+ 10 47) "3.1 The duality principle") ;; (find-awodeyctpage (+ 10 65) "4.1 Groups in a category") ;; (find-awodeycttext (+ 10 65) "4.1 Groups in a category") ;; (find-awodeyctpage (+ 10 113) "6.3 Heyting algebras") ;; (find-awodeycttext (+ 10 113) "6.3 Heyting algebras") ;; (find-awodeyctpage (+ 10 119) "6.5 lambda-calculus") ;; (find-awodeycttext "\n6.5" "-calculus") ;; (find-awodeyctpage (+ 10 127) "7.2 Representable structure") ;; (find-awodeycttext "\n7.2 Representable structure") ;; (find-awodeyctpage (+ 10 131) "7.3 Stone Duality") ;; (find-awodeycttext "\n7.3 Stone Duality") ;; (find-awodeyctpage (+ 10 160) "8.2 The Yoneda embedding") ;; (find-awodeycttext "\n8.2 The Yoneda embedding") ;; (find-awodeyctpage (+ 10 162) "8.3 The Yoneda Lemma") ;; (find-awodeycttext "\n8.3 The Yoneda Lemma") ;; (find-awodeyctpage (+ 10 159) "8 Categories of Diagrams") ;; (find-awodeycttext "\n8 Categories of Diagrams") ;; (find-awodeyctpage (+ 10 176) "U = {x \\in E | ux = true}") ;; (find-awodeycttext "E | ux = true") ;; (find-awodeyctpage (+ 10 193) "9.5. Quantifiers as adjoints") ;; (find-awodeyctpage (+ 10 193) "9.6. RAPL") ;; (find-awodeyctpage (+ 10 201) "(left and right) Kan extensions") ;; (find-awodeyctpage (+ 10 223) "10" " MONADS AND ALGEBRAS") ;; (find-awodeycttext "10" " MONADS AND ALGEBRAS") ;; (find-awodeyctpage (+ 10 235) "S5") ;; (find-awodeycttext "S5") ;; (find-awodeyctpage (+ 10 239) "Lemma 10.10.(Lambek).") ;; (find-awodeycttext "Lemma 10.10.(Lambek).") ;; (find-awodeyctpage (+ 10 239) "Example 10.11. 1. For the polynomial functor") ;; (find-awodeycttext "Example 10.11. 1. For the polynomial functor") ;; (find-awodeycttext) ;; «awodey-natmods» (to ".awodey-natmods") ;; (find-books "__cats/__cats.el" "awodey-natmods") ;; "Natural models of homotopy type theory" ;; https://www.andrew.cmu.edu/user/awodey/preprints/natural.pdf (2016) ;; https://arxiv.org/abs/1406.3219 ;; https://arxiv.org/pdf/1406.3219.pdf (2017) ;; (find-fline "$S/https/arxiv.org/pdf/") (code-pdf-page "awodeynatmods" "$S/https/arxiv.org/pdf/1406.3219.pdf") (code-pdf-text "awodeynatmods" "$S/https/arxiv.org/pdf/1406.3219.pdf") ;; (find-awodeynatmodspage) ;; (find-awodeynatmodstext) ;; «avery» (to ".avery") ;; (find-books "__cats/__cats.el" "avery") ;; Tom Avery: Structure and Semantics ;; https://arxiv.org/abs/1708.01050 ;; https://arxiv.org/pdf/1708.01050.pdf (code-pdf-page "averystrsem" "$S/https/arxiv.org/pdf/1708.01050.pdf") (code-pdf-text "averystrsem" "$S/https/arxiv.org/pdf/1708.01050.pdf" 14) ;; (find-averystrsempage) ;; (find-averystrsemtext) ;; (find-averystrsempage 11 "Contents") ;; (find-averystrsemtext 11 "Contents") ;; (find-averystrsempage (+ 14 57) "4 The structure-semantics adjunction") ;; (find-averystrsempage (+ 14 57) "4.1 Proto-theories") ;; (find-averystrsempage (+ 14 59) "4.2 The semantics of proto-theories") ;; (find-averystrsempage (+ 14 63) "4.3 The structure functor") ;; (find-averystrsempage (+ 14 66) "4.4 The structure-semantics adjunction") ;; (find-averystrsempage (+ 14 72) "4.5 Profunctor viewpoint") ;; (find-averystrsempage (+ 14 76) "4.6 Example: monoids") ;; (find-averystrsempage (+ 14 78) "4.7 Chu spaces") ;; «badiou» (to ".badiou") ;; (find-books "__cats/__cats.el" "badiou") ;; (find-LATEX "2020badiou-mt.tex") ;; «badiou-mt» (to ".badiou-mt") ;; (find-books "__cats/__cats.el" "badiou-mt") (code-pdf-page "badioumt" "~/books/__cats/badiou__mathematics_of_the_transcendental_onto-logy_and_being-there.pdf") (code-pdf-text "badioumt" "~/books/__cats/badiou__mathematics_of_the_transcendental_onto-logy_and_being-there.pdf" 9) ;; (find-badioumtpage) ;; (find-badioumtpage 6 "Contents") ;; (find-badioumttext 6 "Contents") ;; (find-badioumtpage (+ 9 1) "Translators' Introduction: The Categorial Imperative") ;; (find-badioumtpage (+ 9 11) "PART ONE TOPOS, OR LOGICS OF ONTO-LOGY: AN INTRODUCTION FOR PHILOSOPHERS") ;; (find-badioumtpage (+ 9 13) "1 General Aim") ;; (find-badioumtpage (+ 9 17) "2 Preliminary Definitions") ;; (find-badioumtpage (+ 9 21) "3 The Size of a Category") ;; (find-badioumtpage (+ 9 27) "4 Limit and Universality") ;; (find-badioumtpage (+ 9 29) "5 Some Fundamental Concepts") ;; (find-badioumtpage (+ 9 37) "6 Duality") ;; (find-badioumtpage (+ 9 41) "7 Isomorphism") ;; (find-badioumtpage (+ 9 45) "8 Exponentiation") ;; (find-badioumtpage (+ 9 51) "9 Universe, 1: Closed Cartesian Categories") ;; (find-badioumtpage (+ 9 55) "10 Structures of Immanence, 1: Philosophical Considerations") ;; (find-badioumtpage (+ 9 59) "11 Structures of Immanence, 2: Sub-Object") ;; (find-badioumtpage (+ 9 63) "12 Structures of Immanence, 3: Elements of an Object") ;; (find-badioumtpage (+ 9 67) "13 `Elementary' Clarification of Exponentiation") ;; (find-badioumtpage (+ 9 71) "14 Central Object (or Sub-Object Classifier)") ;; (find-badioumtpage (+ 9 77) "15 The True, the False, Negation and More") ;; (find-badioumtpage (+ 9 85) "16 The Central Object as Linguistic Power") ;; (find-badioumtpage (+ 9 89) "17 Universe, 2: The Concept of Topos") ;; (find-badioumtpage (+ 9 95) "18 Ontology of the Void and Difference") ;; (find-badioumtpage (+ 9 99) "19 Mono., Epi., Equ., and Other Arrows") ;; (find-badioumtpage (+ 9 113) "20 Topoi as Logical Places") ;; (find-badioumtpage (+ 9 123) "21 Internal Algebra of 1") ;; (find-badioumtpage (+ 9 141) "22 Ontology of the Void and Excluded Middle") ;; (find-badioumtpage (+ 9 147) "23 A Minimal Classical Model") ;; (find-badioumtpage (+ 9 151) "24 A Minimal Non-Classical Model") ;; (find-badioumtpage (+ 9 163) "PART TWO BEING THERE: MATHEMATICS OF THE TRANSCENDENTAL") ;; (find-badioumtpage (+ 9 165) "Introduction") ;; (find-badioumtpage (+ 9 171) "A. Transcendental Structures") ;; (find-badioumtpage (+ 9 183) "B. Transcendental Connections") ;; (find-badioumtpage (+ 9 183) "B.1.Connections between the transcendental and set-theoretic ontology: Boolean algebras") ;; (find-badioumtpage (+ 9 195) "B.2.Connections between the transcendental and logic in its ordinary sense (propositional logic and first order predicate logic)") ;; (find-badioumtpage (+ 9 202) "B.3.Connection between the transcendental and the general theory of localizations: Topology") ;; (find-badioumtpage (+ 9 217) "C. Theory of Appearing and Objectivity") ;; (find-badioumtpage (+ 9 235) "D. Transcendental Projections: Theory of Localization") ;; (find-badioumtpage (+ 9 249) "E. Theory of Relations: Situation as Universe") ;; (find-badioumtpage (+ 9 265) "Appendix: On Three Different Concepts of Identity Between Two Multiples or Two Beings") ;; (find-badioumtpage (+ 9 269) "Translator's Endnotes") ;; (find-badioumtpage (+ 9 277) "Index") ;; (find-badioumttext "") ;; «badiou-low» (to ".badiou-low") ;; (find-books "__cats/__cats.el" "badiou-low") ;; (find-LATEX "2020badiou-low.tex") (code-pdf-page "badioulow" "~/books/__cats/badiou__logics_of_worlds.pdf") (code-pdf-text "badioulow" "~/books/__cats/badiou__logics_of_worlds.pdf" 18) ;; (find-badioulowpage) ;; (find-badioulowpage 7 "Contents") ;; (find-badioulowtext 7 "Contents") ;; (find-badioulowpage (+ 18 91) "Foreword to Books II, III and IV: The Greater Logic") ;; (find-badioulowpage (+ 18 97) "Book II Greater Logic, 1. The Transcendental") ;; (find-badioulowpage (+ 18 99) "Introduction") ;; (find-badioulowpage (+ 18 101) "1 Necessity of a transcendental organization of the situations of being") ;; (find-badioulowpage (+ 18 102) "2 Exposition of the transcendental") ;; (find-badioulowpage (+ 18 104) "3 The origin of negation") ;; (find-badioulowpage (+ 18 109) "Section 1 The Concept of Transcendental") ;; (find-badioulowpage (+ 18 109) "1 Inexistence of the Whole") ;; (find-badioulowpage (+ 18 111) "2 Derivation of the thinking of a multiple on the basis of that of another multiple") ;; (find-badioulowpage (+ 18 113) "3 A being is thinkable only insofar as it belongs to a world") ;; (find-badioulowpage (+ 18 118) "4 Appearing and the transcendental") ;; (find-badioulowpage (+ 18 122) "5 It must be possible to think, in a world, what does not appear within that world") ;; (find-badioulowpage (+ 18 125) "6 The conjunction of two apparents in a world") ;; (find-badioulowpage (+ 18 128) "7 Regional stability of worlds: the envelope") ;; (find-badioulowpage (+ 18 131) "8 The conjunction between a being-there and a region of its world") ;; (find-badioulowpage (+ 18 133) "9 Dependence: the measure of the link between two beings in a world") ;; (find-badioulowpage (+ 18 135) "10 The reverse of an apparent in the world") ;; (find-badioulowpage (+ 18 138) "11 There exists a maximal degree of appearance in a world") ;; (find-badioulowpage (+ 18 139) "12 What is the reverse of a maximal degree of appearance?") ;; (find-badioulowpage (+ 18 153) "II.3. Algebra of the Transcendental") ;; (find-badioulowpage (+ 18 157) "II.3.3. Equivalence-Structure and Order-Structure") ;; (find-badioulowtext (+ 18 157) "Equivalence-Structure and Order-Structure") ;; (find-badioulowpage (+ 18 173) "daqui") ;; (find-badioulowpage (+ 18 182) "ate daqui") ;; (find-badioulowpage (+ 18 191) "Book III Greater Logic, 2. The Object") ;; (find-badioulowpage (+ 18 193) "Introduction") ;; (find-badioulowpage (+ 18 199) "Section 1 For a New Thinking of the Object") ;; (find-badioulowpage (+ 18 199) "1 Transcendental indexing: the phenomenon") ;; (find-badioulowpage (+ 18 204) "2 The phenomenon: second approach") ;; (find-badioulowpage (+ 18 207) "3 Existence") ;; (find-badioulowpage (+ 18 211) "4 Analytic of phenomena: component and atom of appearing") ;; (find-badioulowpage (+ 18 217) "5 Real atoms") ;; (find-badioulowpage (+ 18 220) "6 Definition of an object") ;; (find-badioulowpage (+ 18 221) "7 Atomic logic, 1: the localization of the One") ;; (find-badioulowpage (+ 18 225) "8 Atomic logic, 2: compatibility and order") ;; (find-badioulowpage (+ 18 229) "9 Atomic logic, 3: real synthesis") ;; (find-badioulowpage (+ 18 231) "Section 2 Kant") ;; (find-badioulowpage (+ 18 243) "Section 3 Atomic Logic") ;; (find-badioulowpage (+ 18 243) "1 Function of appearing") ;; (find-badioulowpage (+ 18 245) "2 The phenomenon") ;; (find-badioulowpage (+ 18 246) "3 Existence") ;; (find-badioulowpage (+ 18 247) "4 Phenomenal component and atom of appearing") ;; (find-badioulowpage (+ 18 250) "5 Real atom and postulate of materialism") ;; (find-badioulowpage (+ 18 251) "6 Definition of the object") ;; (find-badioulowpage (+ 18 252) "7 Atomic logic, 1: localizations") ;; (find-badioulowpage (+ 18 255) "8 Atomic logic, 2: compatibility") ;; (find-badioulowpage (+ 18 257) "9 Atomic logic, 3: order") ;; (find-badioulowpage (+ 18 259) "10 Atomic logic, 4: the relation between relations") ;; (find-badioulowpage (+ 18 261) "11 Atomic logic, 5: real synthesis") ;; (find-badioulowpage (+ 18 267) "Section 4 Existence and Death") ;; (find-badioulowpage (+ 18 267) "1 Existence and death according to phenomenology and vitalism") ;; (find-badioulowpage (+ 18 269) "2 Axiomatic of existence and logic of death") ;; (find-badioulowpage (+ 18 271) "Appendix: Three Demonstrations") ;; (find-badioulowpage (+ 18 271) "1 On compatibility: algebraic and topological definitions") ;; (find-badioulowpage (+ 18 271) "localization") ;; (find-badioulowpage (+ 18 273) "2 Topological definition of the onto-logical order <") ;; (find-badioulowpage (+ 18 275) "3 Demonstration of proposition P.6") ;; (find-badioulowpage (+ 18 277) "A Scholium as Impressive as it is Subtle: The Transcendental Functor") ;; (find-badioulowpage (+ 18 277) "1 Objective phenomenology of the existential analysis of an object and of the construction of the transcendental functor") ;; (find-badioulowpage (+ 18 280) "2 Example of a functor: logical evaluation of a battle") ;; (find-badioulowpage (+ 18 289) "3 Formal demonstration: existence of the transcendental functor") ;; (find-badioulowpage (+ 18 315) "vituperation") ;; (find-badioulowtext (+ 18 315) "vituperation") ;; (find-badioulowpage (+ 14 611) "Index") ;; (find-badioulowtext "") ;; (find-badioumtpage (+ 9 183) "daqui") ;; (find-badioumtpage (+ 9 216) "até daqui") ;; «badiou-smp» (to ".badiou-smp") ;; (find-books "__cats/__cats.el" "badiou-smp") (code-pdf-page "badiousmp" "~/books/__cats/badiou__second_manifesto_for_philosophy.pdf") (code-pdf-text "badiousmp" "~/books/__cats/badiou__second_manifesto_for_philosophy.pdf" 1) ;; (find-badiousmppage) ;; (find-badiousmppage 7 "Contents") ;; (find-badiousmptext 7 "Contents") ;; (find-badiousmppage (+ 36 157) "Index") ;; (find-badiousmptext "") ;; «baez» (to ".baez") ;; (find-books "__cats/__cats.el" "baez") ;; http://math.ucr.edu/home/baez/ ;; https://johncarlosbaez.wordpress.com/2020/03/31/structured-cospans-and-double-categories/ ;; http://math.ucr.edu/home/baez/structured/ ;; http://math.ucr.edu/home/baez/structured/structured_1.pdf (code-pdf-page "baezstrcospslides" "$S/http/math.ucr.edu/home/baez/structured/structured_1.pdf") (code-pdf-text "baezstrcospslides" "$S/http/math.ucr.edu/home/baez/structured/structured_1.pdf") ;; (find-baezstrcospslidespage) ;; (find-baezstrcospslidestext) ;; ;; Baez/Courser: Structured Cospans ;; https://arxiv.org/abs/1911.04630 ;; https://arxiv.org/pdf/1911.04630.pdf ;; (find-fline "$S/https/arxiv.org/pdf/") (code-pdf-page "baezcourserstrcosp" "$S/https/arxiv.org/pdf/1911.04630.pdf") (code-pdf-text "baezcourserstrcosp" "$S/https/arxiv.org/pdf/1911.04630.pdf") ;; (find-baezcourserstrcosppage) ;; (find-baezcourserstrcosptext) ;; «baez-diary» (to ".baez-diary") ;; http://math.ucr.edu/home/baez/diary/diary_pdfs/baez_diary_2003-2019.pdf (code-pdf-page "baezdiary" "$S/http/math.ucr.edu/home/baez/diary/diary_pdfs/baez_diary_2003-2019.pdf") (code-pdf-text "baezdiary" "$S/http/math.ucr.edu/home/baez/diary/diary_pdfs/baez_diary_2003-2019.pdf") ;; (find-baezdiarypage) ;; (find-baezdiarytext) ;; (find-baezdiarypage 1975 "identities for +, times") ;; (find-baezdiarytext 1975 "identities for +, times") ;; «baez-dolan» (to ".baez-dolan") ;; https://arxiv.org/abs/9802029 ;; https://arxiv.org/pdf/math/9802029.pdf ;; (find-fline "$S/https/arxiv.org/pdf/math/") (code-pdf-page "categorification" "$S/https/arxiv.org/pdf/math/9802029.pdf") (code-pdf-text "categorification" "$S/https/arxiv.org/pdf/math/9802029.pdf") ;; (find-categorificationpage) ;; (find-categorificationtext) ;; «baez-uadr» (to ".baez-uadr") ;; Universal Algebra and Diagrammatic Reasoning (slides, 2006) ;; http://iml.univ-mrs.fr/~lafont/Geocal-week1.html ;; http://math.ucr.edu/home/baez/universal/universal_hyper.pdf (code-pdf-page "baezuadr" "$S/http/math.ucr.edu/home/baez/universal/universal_hyper.pdf") (code-pdf-text "baezuadr" "$S/http/math.ucr.edu/home/baez/universal/universal_hyper.pdf") ;; (find-baezuadrpage) ;; (find-baezuadrpage 13 "adjunctions / zig-zag identities") ;; (find-baezuadrpage 14 "into string diagrams") ;; (find-baezuadrtext 14 "into string diagrams") ;; (find-baezuadrpage 15 "the zig-zag identities become") ;; (find-baezuadrtext) ;; «baez-rosetta» (to ".baez-rosetta") ;; Baez/Stay: "Physics, Topology, Logic and Computation: A Rosetta Stone" (2009) ;; http://math.ucr.edu/home/baez/rosetta.pdf ;; (find-fline "$S/http/math.ucr.edu/home/baez/") (code-pdf-page "baezrosetta" "$S/http/math.ucr.edu/home/baez/rosetta.pdf") (code-pdf-text "baezrosetta" "$S/http/math.ucr.edu/home/baez/rosetta.pdf") ;; (find-baezrosettapage) ;; (find-baezrosettatext) ;; (find-baezrosettapage 18 "deletion morphism") ;; (find-baezrosettatext 18 "deletion morphism") ;; (find-baezrosettapage 30 "clasp") ;; (find-baezrosettatext 30 "clasp") ;; «baez-shulman» (to ".baez-shulman") ;; (find-books "__cats/__cats.el" "baez-shulman") ;; "Lectures on n-Categories and Cohomology" (2007) ;; https://arxiv.org/abs/0608420 ;; https://arxiv.org/pdf/math/0608420.pdf ;; https://ncatlab.org/nlab/show/stuff,+structure,+property ;; http://math.ucr.edu/home/baez/qg-spring2004/discussion.html (code-pdf-page "baezshulmanlncc" "$S/https/arxiv.org/pdf/math/0608420.pdf") (code-pdf-text "baezshulmanlncc" "$S/https/arxiv.org/pdf/math/0608420.pdf") ;; (find-baezshulmanlnccpage) ;; (find-baezshulmanlncctext) ;; (find-baezshulmanlnccpage 15 "2.4. Stuff, structure, and properties") ;; (find-baezshulmanlncctext 15 "2.4. Stuff, structure, and properties") ;; (find-baezshulmanlnccpage 43 "5.4. Geometric morphisms, classifying topoi") ;; (find-baezshulmanlncctext 43 "5.4. Geometric morphisms, classifying topoi") ;; (find-baezshulmanlnccpage 55 "6. Annotated Bibliography") ;; (find-baezshulmanlncctext 55 "6. Annotated Bibliography") ;; (find-baezshulmanlnccpage 61 "pedagogical introduction to properties") ;; (find-baezshulmanlncctext 61 "pedagogical introduction to properties") ;; «baez-weiss» (to ".baez-weiss") ;; https://diagonalargument.com/mathnotes/first-order-categorical-logic-the-series/ ;; https://math.ucr.edu/home/baez/ramanujan/ramanujan_whittier_web.pdf ;; https://www.azimuthproject.org/azimuth/show/Applied+Category+Theory+Course ;; I suggest looking at my written "lectures" on category theory here: ;; Applied category theory course. Starting with lecture 49 I explain ;; Kan extensions, but I explain them using the example of databases, ;; so you might want to start further back, like lecture 34 or lecture ;; 36, to see how databases are functors. ;; «barr» (to ".barr") ;; (find-angg ".emacs.papers" "barr") ;; http://www.math.mcgill.ca/barr/ ;; Michael Barr: "*-Autonomous Categories" (SLNM 752) (code-djvu "starautcats" "~/books/__cats/barr__star_autonomous_cats.djvu") ;; (find-starautcatspage 4 "Table of Contents") ;; (find-starautcatspage (+ 5 1) "Chapter I. Preliminaries") ;; (find-starautcatspage (+ 5 101) "Bibliography") ;; (find-starautcatspage (+ 5 138) "Index of Definitions") ;; (find-starautcatspage (+ 5 139) "Index of Notation") ;; «barr-wells» (to ".barr-wells") ;; (find-books "__cats/__cats.el" "barr-wells") ;; http://www.math.mcgill.ca/barr/ ;; http://www.math.mcgill.ca/barr/papers/tttall.pdf version 1.3 ;; http://www.tac.mta.ca/tac/reprints/articles/12/tr12abs.html ;; http://www.tac.mta.ca/tac/reprints/articles/12/tr12.pdf version 1.1 ;; http://www.tac.mta.ca/tac/reprints/articles/22/tr22.pdf ctcs 2020 ;; http://www.numdam.org/article/DIA_1986__15__A4_0.pdf Lair: "A propos de TTT" (code-pdf-page "barrwellsttt" "$S/http/www.math.mcgill.ca/barr/papers/tttall.pdf") (code-pdf-text "barrwellsttt" "$S/http/www.math.mcgill.ca/barr/papers/tttall.pdf" 14) ;; (find-barrwellstttpage) ;; (find-barrwellstttpage 5 "Contents") ;; (find-barrwellsttttext 5 "Contents") ;; (find-barrwellstttpage (+ 14 1) "1 Categories") ;; (find-barrwellstttpage (+ 14 1) "1.1 Definition of category") ;; (find-barrwellstttpage (+ 14 9) "1.2 Functors") ;; (find-barrwellstttpage (+ 14 13) "1.3 Natural transformations") ;; (find-barrwellstttpage (+ 14 17) "1.4 Elements and Subobjects") ;; (find-barrwellstttpage (+ 14 21) "1.5 The Yoneda Lemma") ;; (find-barrwellstttpage (+ 14 24) "1.6 Pullbacks") ;; (find-barrwellstttpage (+ 14 29) "1.7 Limits") ;; (find-barrwellstttpage (+ 14 39) "1.8 Colimits") ;; (find-barrwellstttpage (+ 14 45) "1.9 Adjoint functors") ;; (find-barrwellstttpage (+ 14 55) "1.10 Filtered colimits") ;; (find-barrwellstttpage (+ 14 58) "1.11 Notes to Chapter I") ;; (find-barrwellstttpage (+ 14 61) "2 Toposes") ;; (find-barrwellstttpage (+ 14 61) "2.1 Basic Ideas about Toposes") ;; (find-barrwellstttpage (+ 14 64) "2.2 Sheaves on a Space") ;; (find-barrwellstttpage (+ 14 71) "2.3 Properties of Toposes") ;; (find-barrwellstttpage (+ 14 76) "2.4 The Beck Conditions") ;; (find-barrwellstttpage (+ 14 78) "2.5 Notes to Chapter 2") ;; (find-barrwellstttpage (+ 14 81) "3 Triples") ;; (find-barrwellstttpage (+ 14 81) "3.1 Definition and Examples") ;; (find-barrwellstttpage (+ 14 86) "3.2 The Kleisli and Eilenberg-Moore Categories") ;; (find-barrwellstttpage (+ 14 91) "3.3 Tripleability") ;; (find-barrwellstttpage (+ 14 102) "3.4 Properties of Tripleable Functors") ;; (find-barrwellstttpage (+ 14 106) "3.5 Sufficient Conditions for Tripleability") ;; (find-barrwellstttpage (+ 14 108) "3.6 Morphisms of Triples") ;; (find-barrwellstttpage (+ 14 112) "3.7 Adjoint Triples") ;; (find-barrwellstttpage (+ 14 118) "3.8 Historical Notes on Triples") ;; (find-barrwellstttpage (+ 14 121) "4 Theories") ;; (find-barrwellstttpage (+ 14 122) "4.1 Sketches") ;; (find-barrwellstttpage (+ 14 126) "4.2 The Ehresmann-Kennison Theorem") ;; (find-barrwellstttpage (+ 14 128) "4.3 Finite-Product Theories") ;; (find-barrwellstttpage (+ 14 133) "4.4 Left Exact Theories") ;; (find-barrwellstttpage (+ 14 144) "4.5 Notes on Theories") ;; (find-barrwellstttpage (+ 14 147) "5 Properties of Toposes") ;; (find-barrwellstttpage (+ 14 147) "5.1 Tripleability of P") ;; (find-barrwellstttpage (+ 14 149) "5.2 Slices of Toposes") ;; (find-barrwellstttpage (+ 14 151) "5.3 Logical Functors") ;; (find-barrwellstttpage (+ 14 156) "5.4 Toposes are Cartesian Closed") ;; (find-barrwellstttpage (+ 14 158) "5.5 Exactness Properties of Toposes") ;; (find-barrwellstttpage (+ 14 164) "5.6 The Heyting Algebra Structure on") ;; (find-barrwellstttpage (+ 14 169) "6 Permanence Properties of Toposes") ;; (find-barrwellstttpage (+ 14 169) "6.1 Topologies") ;; (find-barrwellstttpage (+ 14 174) "6.2 Sheaves for a Topology") ;; (find-barrwellstttpage (+ 14 179) "6.3 Sheaves form a topos") ;; (find-barrwellstttpage (+ 14 181) "6.4 Left exact cotriples") ;; (find-barrwellstttpage (+ 14 183) "6.5 Left exact triples") ;; (find-barrwellstttpage (+ 14 188) "6.6 Categories in a Topos") ;; (find-barrwellstttpage (+ 14 193) "6.7 Grothendieck Topologies") ;; (find-barrwellstttpage (+ 14 198) "6.8 Giraud's Theorem") ;; (find-barrwellstttpage (+ 14 205) "7 Representation Theorems") ;; (find-barrwellstttpage (+ 14 205) "7.1 Freyd's Representation Theorems") ;; (find-barrwellstttpage (+ 14 209) "7.2 The Axiom of Choice") ;; (find-barrwellstttpage (+ 14 213) "7.3 Morphisms of Sites") ;; (find-barrwellstttpage (+ 14 219) "7.4 Deligne's Theorem") ;; (find-barrwellstttpage (+ 14 220) "7.5 Natural Number Objects") ;; (find-barrwellstttpage (+ 14 227) "7.6 Countable Toposes and Separable Toposes") ;; (find-barrwellstttpage (+ 14 232) "7.7 Barr's Theorem") ;; (find-barrwellstttpage (+ 14 234) "7.8 Notes to Chapter 7") ;; (find-barrwellstttpage (+ 14 237) "8 Cocone Theories") ;; (find-barrwellstttpage (+ 14 237) "8.1 Regular Theories") ;; (find-barrwellstttpage (+ 14 240) "8.2 Finite Sum Theories") ;; (find-barrwellstttpage (+ 14 241) "8.3 Geometric Theories") ;; (find-barrwellstttpage (+ 14 243) "8.4 Properties of Model Categories") ;; (find-barrwellstttpage (+ 14 249) "9 More on Triples") ;; (find-barrwellstttpage (+ 14 249) "9.1 Duskin's Tripleability Theorem") ;; (find-barrwellstttpage (+ 14 256) "9.2 Distributive Laws") ;; (find-barrwellstttpage (+ 14 261) "9.3 Colimits of Triple Algebras") ;; (find-barrwellstttpage (+ 14 266) "9.4 Free Triples") ;; (find-barrwellstttpage (+ 14 273) "Bibliography") ;; (find-barrwellsttttext) ;; «barr-wells-ctcs» (to ".barr-wells-ctcs") ;; (find-books "__cats/__cats.el" "barr-wells-ctcs") ;; (find-LATEX "catsem-u.bib" "bib-BarrWellsCTCS") ;; http://www.math.mcgill.ca/barr/ ;; http://www.math.mcgill.ca/barr/papers/ctcs.pdf ;; http://www.tac.mta.ca/tac/reprints/articles/22/tr22abs.html ;; http://www.tac.mta.ca/tac/reprints/articles/22/tr22.pdf (code-pdf-page "barrwellsctcs" "$S/http/www.math.mcgill.ca/barr/papers/ctcs.pdf") (code-pdf-text "barrwellsctcs" "$S/http/www.math.mcgill.ca/barr/papers/ctcs.pdf" 19) (code-pdf-page "barrwellsctcs" "$S/http/www.tac.mta.ca/tac/reprints/articles/22/tr22.pdf") (code-pdf-text "barrwellsctcs" "$S/http/www.tac.mta.ca/tac/reprints/articles/22/tr22.pdf" 20) ;; (find-barrwellsctcspage) ;; (find-barrwellsctcstext) ;; (find-barrwellsctcspage 7 "Contents") ;; (find-barrwellsctcstext 7 "Contents") ;; (find-barrwellsctcspage (+ 19 1) "1. Preliminaries") ;; (find-barrwellsctcstext (+ 19 1) "Preliminaries") ;; (find-barrwellsctcspage (+ 19 195) "6 Cartesian closed categories") ;; (find-barrwellsctcspage (+ 19 195) "6.1 Cartesian closed categories") ;; (find-barrwellsctcspage (+ 19 202) "6.2 Properties of cartesian closed categories") ;; (find-barrwellsctcspage (+ 19 208) "6.3 Typed lambda-calculus") ;; (find-barrwellsctcspage (+ 19 210) "6.4 lambda-calculus to category and back") ;; (find-barrwellsctcspage (+ 19 212) "6.5 Arrows vs. terms") ;; (find-barrwellsctcspage (+ 19 215) "6.6 Fixed points in cartesian closed categories") ;; (find-barrwellsctcspage (+ 20 331) "12 Fibrations") ;; (find-barrwellsctcspage (+ 20 453) "Index") ;; (find-barrwellsctcstext) ;; «barr-chu» (to ".barr-chu") ;; "*-Autonomous Categories" (SLNM 752) ;; http://www.math.mcgill.ca/barr/ ;; http://www.math.mcgill.ca/barr/papers/sac.pdf ;; http://chu.stanford.edu/ (code-pdf-page "barrchustaraut" "$S/http/www.math.mcgill.ca/barr/papers/sac.pdf") (code-pdf-text "barrchustaraut" "$S/http/www.math.mcgill.ca/barr/papers/sac.pdf") ;; (find-barrchustarautpage) ;; (find-barrchustarauttext) ;; Old: ;; http://www.cwru.edu/artsci/math/wells/home.html ;; http://www.abstractmath.org/MM/MMIntro.htm ;; http://sixwingedseraph.wordpress.com/ ;; http://www.abstractmath.org/Handbook/handbook.pdf ;; http://www.abstractmath.org/MM/dm.pdf ;; Barr/Wells: "Category Theory for Computing Science" ;; (code-djvu "barrwellsctcs" "~/books/__cats/barr_wells__category_theory_for_computing_science.djvu") ;; (code-djvutotext "barrwellsctcs" "~/books/__cats/barr_wells__category_theory_for_computing_science.djvu") ;; «barret-phd» (to ".barret-phd") ;; (find-fline "$S/https/chrisbarrett2.github.io/") ;; https://chrisbarrett2.github.io/On%20the%20Simply-Typed%20Functional%20Machine%20Calculus.pdf (code-pdf-page "barretphd" "$S/https/chrisbarrett2.github.io/On%20the%20Simply-Typed%20Functional%20Machine%20Calculus.pdf") (code-pdf-text "barretphd" "$S/https/chrisbarrett2.github.io/On%20the%20Simply-Typed%20Functional%20Machine%20Calculus.pdf") ;; (find-barretphdpage) ;; (find-barretphdtext) ;; «bartels» (to ".bartels") ;; (find-books "__cats/__cats.el" "bartels") ;; http://math.ucr.edu/home/baez/qg-spring2004/polynomials.pdf ;; Toby Bartels: "A pedagogical analogy between forgetful functors and certain polynomials" (2004) (code-pdf-page "bartelspaffp" "$S/http/math.ucr.edu/home/baez/qg-spring2004/polynomials.pdf") (code-pdf-text "bartelspaffp" "$S/http/math.ucr.edu/home/baez/qg-spring2004/polynomials.pdf") ;; (find-bartelspaffppage) ;; (find-bartelspaffptext) ;; (find-bartelspaffppage 1 "F forgets only property") ;; (find-bartelspaffptext 1 "F forgets only property") ;; «bauer» (to ".bauer") ;; http://math.andrej.com/ ;; http://math.andrej.com/category/publications/ ;; http://math.andrej.com/2014/05/08/seemingly-impossible-proofs/ ;; http://math.andrej.com/2018/08/25/how-to-implement-type-theory-in-an-hour/ ;; https://github.com/andrejbauer/spartan-type-theory ;; (find-es "ocaml" "plzoo-git") ;; Five Stages of Accepting Constructive Mathematics: ;; https://www.ams.org/journals/bull/2017-54-03/S0273-0979-2016-01556-4/S0273-0979-2016-01556-4.pdf ;; «bauer-dawn» (to ".bauer-dawn") ;; (find-books "__cats/__cats.el" "bauer-dawn") ;; http://math.andrej.com/2021/06/24/the-dawn-of-formalized-mathematics/ ;; https://vimeo.com/567049015 The Dawn of Formalized Mathematics - Andrej Bauer ;; http://math.andrej.com/asset/data/the-dawn-of-formalized-mathematics.pdf (code-pdf-page "bauerdawn" "$S/http/math.andrej.com/asset/data/the-dawn-of-formalized-mathematics.pdf") (code-pdf-text "bauerdawn" "$S/http/math.andrej.com/asset/data/the-dawn-of-formalized-mathematics.pdf") ;; (find-bauerdawnpage) ;; (find-bauerdawntext) ;; (find-bauerdawnpage 6 "entire book of analysis") ;; (find-bauerdawntext 6 "entire book of analysis") ;; (find-bauerdawnpage 15 "If f is linear then") ;; (find-bauerdawntext 15 "If f is linear then") ;; (find-bauerdawnpage 20 "called elaboration") ;; (find-bauerdawntext 20 "called elaboration") ;; (find-bauerdawnpage 23 "the vernacular") ;; (find-bauerdawntext 23 "the vernacular") ;; (find-bauerdawnpage 33 "vimeo") ;; (find-bauerdawntext 33 "vimeo") ;; «bauer-gddtt» (to ".bauer-gddtt") ;; (find-books "__cats/__cats.el" "bauer-gddtt") ;; https://arxiv.org/abs/2009.05539 ;; https://arxiv.org/pdf/2009.05539.pdf ;; Bauer/Haselwarter/Lumsdaine: "A general definition of dependent type theories" ;; http://math.andrej.com/2020/09/14/a-general-definition-of-dependent-type-theories/ (code-pdf-page "bauergddtt" "$S/https/arxiv.org/pdf/2009.05539.pdf") (code-pdf-text "bauergddtt" "$S/https/arxiv.org/pdf/2009.05539.pdf") ;; (find-bauergddttpage) ;; (find-bauergddtttext) ;; http://math.andrej.com/2021/02/22/burali-forti-in-hott-uf/ ;; «bazerman» (to ".bazerman") ;; (find-books "__cats/__cats.el" "bazerman") ;; http://gbaz.github.io/ ;; https://johncarlosbaez.wordpress.com/2020/04/28/a-localic-approach-to-dependency-conflict-and-concurrency/ ;; http://math.ucr.edu/home/baez/mathematical/ACTUCR/Bazerman_Localic_Semantics.pdf ;; "A localic approach to the semantics of dependency, conflict, and concurrency" (slides) (code-pdf-page "bazermanlas" "$S/http/math.ucr.edu/home/baez/mathematical/ACTUCR/Bazerman_Localic_Semantics.pdf") (code-pdf-text "bazermanlas" "$S/http/math.ucr.edu/home/baez/mathematical/ACTUCR/Bazerman_Localic_Semantics.pdf") ;; (find-bazermanlaspage) ;; (find-bazermanlastext) ;; ;; "The Topological and Logical Structure of Concurrency and Dependency via Distributive Lattices": ;; https://arxiv.org/abs/2004.05688 ;; https://arxiv.org/pdf/2004.05688.pdf (code-pdf-page "bazermantlscd" "$S/https/arxiv.org/pdf/2004.05688.pdf") (code-pdf-text "bazermantlscd" "$S/https/arxiv.org/pdf/2004.05688.pdf") ;; (find-bazermantlscdpage) ;; (find-bazermantlscdtext) ;; «beck» (to ".beck") ;; (find-books "__cats/__cats.el" "beck") ;; http://www.tac.mta.ca/tac/reprints/articles/2/tr2abs.html ;; http://www.tac.mta.ca/tac/reprints/articles/2/tr2.pdf (code-pdf-page "beckthesis" "$S/http/www.tac.mta.ca/tac/reprints/articles/2/tr2.pdf") (code-pdf-text "beckthesis" "$S/http/www.tac.mta.ca/tac/reprints/articles/2/tr2.pdf") ;; (find-beckthesispage) ;; (find-beckthesistext) ;; «beck-distrlaws» (to ".beck-distrlaws") ;; http://www.tac.mta.ca/tac/reprints/articles/18/tr18abs.html ;; http://www.tac.mta.ca/tac/reprints/articles/18/tr18.pdf ;; https://golem.ph.utexas.edu/category/2017/02/distributive_laws.html Liang Ze Wong ;; http://sheaves.github.io/me/ ;; http://sheaves.github.io/slides/kan-dist-long.pdf (code-pdf-page "slnm80" "$S/http/www.tac.mta.ca/tac/reprints/articles/18/tr18.pdf") (code-pdf-text "slnm80" "$S/http/www.tac.mta.ca/tac/reprints/articles/18/tr18.pdf") ;; (find-slnm80page) ;; (find-slnm80text) ;; (find-slnm80page 11 "An Outline of Functorial Semantics" "Linton") ;; (find-slnm80text 11 "An Outline of Functorial Semantics" "Linton") ;; (find-slnm80page 27 "8. Codensity triples") ;; (find-slnm80text 27 "8. Codensity triples") ;; (find-slnm80text 96) ;; (find-slnm80page 95 "Distributive Laws" "Jon Beck") ;; (find-slnm80text 95 "Distributive Laws" "Jon Beck") ;; «bell» (to ".bell") ;; (find-books "__cats/__cats.el" "bell") ;; «bell-lst» (to ".bell-lst") ;; (find-books "__cats/__cats.el" "bell-lst") ;; (find-LATEX "2020bell-lst.tex") ;; (find-LATEX "catsem-u.bib" "bib-BellLST") (code-pdf-page "bellt" "~/books/__cats/bell__toposes_and_local_set_theories.pdf") (code-pdf-text "bellt" "~/books/__cats/bell__toposes_and_local_set_theories.pdf" 14) ;; (find-belltpage) ;; (find-belltpage 13 "Contents") ;; (find-belltpage (+ 14 1) "1. Elements of Category Theory") ;; (find-belltpage (+ 14 23) "Yoneda lemma") ;; (find-belltpage (+ 14 24) "Yoneda embedding") ;; (find-belltpage (+ 14 49) "2. Introducing Toposes") ;; (find-belltpage (+ 14 68) "3. Local Set Theories") ;; (find-belltpage (+ 14 72) "|-_S") ;; (find-belltpage (+ 14 120) "4. Fundamental Properties of Toposes") ;; (find-belltpage (+ 14 162) "5. From Logic to Sheaves") ;; (find-belltpage (+ 14 162) "truth-set") ;; (find-belltpage (+ 14 163) "modality") ;; (find-belltpage (+ 14 164) "universal closure operation") ;; (find-belltpage (+ 14 168) "examples of modalities") ;; (find-belltpage (+ 14 169) "stricter and laxer") ;; (find-belltpage (+ 14 170) "meet and join") ;; (find-belltpage (+ 14 170) "Exercises") ;; (find-belltpage (+ 14 171) "Sheaves") ;; (find-belltpage (+ 14 171) "closed") ;; (find-belltpage (+ 14 171) "dense") ;; (find-belltpage (+ 14 171) "non-not is the laxest modality") ;; (find-belltpage (+ 14 171) "separated") ;; (find-belltpage (+ 14 174) "(mu-)sheaf") ;; (find-belltpage (+ 14 180) "The sheafification functor") ;; (find-belltpage (+ 14 202) "6. Locale-Valued Sets") ;; (find-belltpage (+ 14 220) "7. Natural Numbers and Real Numbers") ;; (find-belltpage (+ 14 235) "8. Epilogue: The Wider Significance of Topos Theory") ;; (find-belltpage (+ 14 264) "Index") ;; (find-bellttext "") ;; «bell-sia» (to ".bell-sia") ;; (find-books "__cats/__cats.el" "bell-sia") (code-pdf-page "bellsia" "~/books/__cats/bell__a_primer_of_infinitesimal_analysis.pdf") (code-pdf-text "bellsia" "~/books/__cats/bell__a_primer_of_infinitesimal_analysis.pdf") ;; (find-bellsiapage 9 "Contents") ;; (find-bellsiapage (+ 14 123) "Index") ;; (find-bellsiatext "") ;; Lambek: review of "Toposes and local set theories: An introduction" ;; https://www.ams.org/journals/bull/1989-21-02/S0273-0979-1989-15849-7/S0273-0979-1989-15849-7.pdf (code-pdf-page "belllstrev" "$S/https/www.ams.org/journals/bull/1989-21-02/S0273-0979-1989-15849-7/S0273-0979-1989-15849-7.pdf") (code-pdf-text "belllstrev" "$S/https/www.ams.org/journals/bull/1989-21-02/S0273-0979-1989-15849-7/S0273-0979-1989-15849-7.pdf") ;; (find-belllstrevpage) ;; (find-belllstrevtext) ;; See also: https://plato.stanford.edu/entries/logic-free/ ;; «bellin» (to ".bellin") ;; (find-books "__cats/__cats.el" "bellin") ;; http://profs.sci.univr.it/~bellin/papers.html ;; http://profs.sci.univr.it/~bellin/PICALCPAPER.pdf ;; http://profs.sci.univr.it/~bellin/PICALCPAPER.dvi ;; (find-sh "cd $S/http/profs.sci.univr.it/~bellin/ && dvipdf PICALCPAPER.dvi") ;; https://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.33.3948 ;; "On the pi-calculus and linear logic": (code-pdf-page "bellinscott" "$S/http/profs.sci.univr.it/~bellin/PICALCPAPER.pdf") (code-pdf-text "bellinscott" "$S/http/profs.sci.univr.it/~bellin/PICALCPAPER.pdf") ;; (find-bellinscottpage) ;; (find-bellinscotttext) ;; «benabou» (to ".benabou") ;; (find-books "__cats/__cats.el" "benabou") ;; https://link.springer.com/chapter/10.1007/BFb0074299 (code-pdf-page "benabouibic" "~/books/__cats/benabou__introduction_to_bicategories.pdf") (code-pdf-text "benabouibic" "~/books/__cats/benabou__introduction_to_bicategories.pdf" 1) ;; (find-benabouibicpage) ;; (find-benabouibicpage 1 "Introduction") ;; (find-benabouibicpage 3 "1. Bicategories") ;; (find-benabouibicpage 18 "2. Examples of bicategories") ;; (find-benabouibicpage 26 "3. Dualities") ;; (find-benabouibicpage 29 "4. Morphisms of bicategories") ;; (find-benabouibicpage 37 "5. Examples") ;; (find-benabouibicpage 52 "6. Some corollaries of Theorem (4.3.1)") ;; (find-benabouibicpage 55 "7. Some basic constructions") ;; (find-benabouibicpage 59 "8. Transformations between morphisms") ;; (find-benabouibictext "") ;; «benabou-fibfo» (to ".benabou-fibfo") ;; (find-books "__cats/__cats.el" "benabou-fibfo") ;; https://artscimedia.case.edu/wp-content/uploads/2013/07/14182624/Benabou-Fibered.pdf ;; https://projecteuclid.org/euclid.jsl/1183741768 JSL Volume 50, Issue 1 (1985) ;; https://projecteuclid.org/euclid.jsl/1183741771 article (code-pdf-page "benaboufibfo" "~/books/__cats/benabou__fibered_categories_and_the_foundations_of_naive_category_theory.pdf") (code-pdf-text "benaboufibfo" "~/books/__cats/benabou__fibered_categories_and_the_foundations_of_naive_category_theory.pdf" 1) ;; (find-benaboufibfopage) ;; (find-benaboufibfopage (+ -9 10) "0. Introduction") ;; (find-benaboufibfotext (+ -9 10) "0. Introduction") ;; (find-benaboufibfotext "") ;; «benini» (to ".benini") ;; (find-books "__cats/__cats.el" "benini") ;; Marco Benini: "Intuitionistic First-Order Logic - Categorical ;; Semantics Via the Curry-Howard Isomorphism" (2013) ;; https://arxiv.org/abs/1307.0108 ;; https://arxiv.org/pdf/1307.0108.pdf (code-pdf-page "benini" "$S/https/arxiv.org/pdf/1307.0108.pdf") (code-pdf-text "benini" "$S/https/arxiv.org/pdf/1307.0108.pdf") ;; (find-beninipage) ;; (find-beninitext) ;; (find-beninipage 2 "C ONTENTS") ;; (find-beninitext 2 "C ONTENTS") ;; (find-beninipage 3 "1. Introduction") ;; (find-beninipage 5 "2. First-order intuitionistic logic") ;; (find-beninipage 8 "3. First-order lambda-calculus") ;; (find-beninipage 12 "4. Categorical semantics") ;; (find-beninipage 19 "5. Soundness") ;; (find-beninipage 40 "6. Completeness") ;; (find-beninipage 54 "6.1. Soundness and completeness in logic") ;; (find-beninipage 56 "7. Heyting categories") ;; (find-beninipage 62 "8. Heyting versus logically distributive categories") ;; (find-beninipage 71 "9. Models in a topos") ;; (find-beninipage 73 "10. Topoi versus logically distributive categories") ;; (find-beninipage 77 "11. Kripke semantics") ;; (find-beninipage 79 "12. Grothendieck topoi") ;; (find-beninipage 79 "12.1. Ideal elements") ;; (find-beninipage 80 "12.2. Grothendieck topoi") ;; (find-beninipage 83 "13. Impredicative theories") ;; (find-beninipage 83 "13.1. An illustrating example") ;; (find-beninipage 88 "14. Some philosophical remarks") ;; (find-beninipage 88 "14.1. A point-free approach") ;; (find-beninipage 89 "14.2. Inconsistent theories") ;; (find-beninipage 90 "14.3. Equality") ;; (find-beninipage 90 "14.4. Ideal elements") ;; (find-beninipage 92 "References") ;; «benzuller-mscott» (to ".benzuller-mscott") ;; Christoph Benzmüller and Dana Scott: ;; "Some Reflections on a Computer-aided Theory Exploration Study in Category Theory" (2018) ;; http://aitp-conference.org/2018/slides/CBDS.pdf ;; (find-fline "$S/http/aitp-conference.org/2018/slides/") (code-pdf-page "benzmscott" "$S/http/aitp-conference.org/2018/slides/CBDS.pdf") (code-pdf-text "benzmscott" "$S/http/aitp-conference.org/2018/slides/CBDS.pdf") ;; (find-benzmscottpage) ;; (find-benzmscottpage 34 "Freyd-Scedrov") ;; (find-benzmscotttext) ;; «blackwell-kelly-power» (to ".blackwell-kelly-power") ;; (find-books "__cats/__cats.el" "blackwell-kelly-power") (code-pdf-page "twodmonadtheory" "~/books/__cats/blackwell_kelly_power__two-dimensional_monad_theory.pdf") (code-pdf-text "twodmonadtheory" "~/books/__cats/blackwell_kelly_power__two-dimensional_monad_theory.pdf" 1) ;; (find-twodmonadtheorypage) ;; (find-twodmonadtheorypage 1) ;; (find-twodmonadtheorytext 1) ;; (find-twodmonadtheorytext "") ;; «blass» (to ".blass") ;; (find-books "__cats/__cats.el" "blass") ;; "Questions and Answers -- A Category Arising in Linear Logic, Complexity Theory, and Set Theory" ;; https://arxiv.org/abs/9309208v1 ;; https://arxiv.org/pdf/math/9309208v1.pdf (code-pdf-page "blass-qa" "$S/https/arxiv.org/pdf/math/9309208v1.pdf") (code-pdf-text "blass-qa" "$S/https/arxiv.org/pdf/math/9309208v1.pdf") ;; (find-blass-qapage) ;; (find-blass-qatext) ;; «blechschmidt» (to ".blechschmidt") ;; (find-books "__cats/__cats.el" "blechschmidt") ;; "Using the internal language of toposes in algebraic geometry" ;; https://github.com/iblech ;; https://www.ingo-blechschmidt.eu/ ;; https://rawgit.com/iblech/internal-methods/master/notes.pdf (code-pdf-page "blechschmidtdiss" "$S/https/rawgit.com/iblech/internal-methods/master/notes.pdf") (code-pdf-text "blechschmidtdiss" "$S/https/rawgit.com/iblech/internal-methods/master/notes.pdf") ;; (find-blechschmidtdisspage) ;; (find-blechschmidtdisspage 7 "Contents") ;; (find-blechschmidtdisstext 7 "Contents") ;; (find-blechschmidtdisspage 19 "Table 1. The Kripke" "Joyal semantics of a sheaf topos") ;; (find-blechschmidtdisstext 19 "Table 1. The Kripke" "Joyal semantics of a sheaf topos") ;; (find-blechschmidtdisstext) ;; «blute-scott» (to ".blute-scott") ;; Blute/Scott: "Category Theory for Linear Logicians" (2003) ;; http://www.csi.uottawa.ca/~phil/papers/catsurv.web.pdf (code-pdf-page "blutescottctll" "$S/http/www.csi.uottawa.ca/~phil/papers/catsurv.web.pdf") (code-pdf-text "blutescottctll" "$S/http/www.csi.uottawa.ca/~phil/papers/catsurv.web.pdf") ;; (find-blutescottctllpage) ;; (find-blutescottctlltext) ;; «boisseau» (to ".boisseau") ;; Boisseau: "String Diagrams for Optics" ;; https://arxiv.org/abs/2002.11480 ;; https://arxiv.org/pdf/2002.11480.pdf (code-pdf-page "boisseausdo" "$S/https/arxiv.org/pdf/2002.11480.pdf") (code-pdf-text "boisseausdo" "$S/https/arxiv.org/pdf/2002.11480.pdf") ;; (find-psne-arxiv-links "https://arxiv.org/pdf/2002.11480.pdf" "boisseausdo") ;; (code-c-d "boisseausdo" "~/usrc/arxiv-boisseausdo/") ;; (find-boisseausdofile "") ;; (find-boisseausdopage) ;; (find-boisseausdotext) ;; «boisseau-gibbons» (to ".boisseau-gibbons") ;; (find-books "__cats/__cats.el" "boisseau-gibbons") ;; https://dl.acm.org/doi/10.1145/3236779 ;; https://www.youtube.com/watch?v=Z3vr5xylMCE ;; "What You Needa Know about Yoneda - Profunctor Optics and the Yoneda Lemma (Functional Pearl)" (code-pdf-page "wynkay" "~/books/__cats/boisseau_gibbons__what_you_needa_know_about_yoneda.pdf") (code-pdf-text "wynkay" "~/books/__cats/boisseau_gibbons__what_you_needa_know_about_yoneda.pdf" 1) ;; (find-wynkaypage) ;; (find-wynkaypage 1 "Contents") ;; (find-wynkaypage (+ 1 189) "Index") ;; (find-wynkaytext "") ;; «borceux» (to ".borceux") ;; (find-books "__cats/__cats.el" "borceux") ;; (find-LATEX "catsem.bib" "bib-BorceuxIII") (code-pdf-page "borceux1" "~/books/__cats/borceux__handbook_of_categorical_algebra_1.pdf") (code-pdf-text "borceux1" "~/books/__cats/borceux__handbook_of_categorical_algebra_1.pdf" 17) (code-pdf-page "borceux2" "~/books/__cats/borceux__handbook_of_categorical_algebra_2.pdf") (code-pdf-text "borceux2" "~/books/__cats/borceux__handbook_of_categorical_algebra_2.pdf" 1) (code-pdf-page "borceux3" "~/books/__cats/borceux__handbook_of_categorical_algebra_3.pdf") (code-pdf-text "borceux3" "~/books/__cats/borceux__handbook_of_categorical_algebra_3.pdf" 1) ;; (find-borceux1page) ;; (find-borceux1page 8 "Contents") ;; (find-borceux1text 8 "Contents") ;; (find-borceux1page (+ 17 1) "1.1 Logical foundations of the theory") ;; (find-borceux1page (+ 17 4) "1.2 Categories and functors") ;; (find-borceux1page (+ 17 10) "1.3 Natural transformations") ;; (find-borceux1page (+ 17 15) "1.4 Contravariant functors") ;; (find-borceux1page (+ 17 18) "1.5 Full and faithful functors") ;; (find-borceux1page (+ 17 20) "1.6 Comma categories") ;; (find-borceux1page (+ 17 23) "1.7 Monomorphisms") ;; (find-borceux1page (+ 17 27) "1.8 Epimorphisms") ;; (find-borceux1page (+ 17 31) "1.9 Isomorphisms") ;; (find-borceux1page (+ 17 33) "1.10 The duality principle") ;; (find-borceux1page (+ 17 36) "1.11 Exercises") ;; (find-borceux1page (+ 17 38) "2 Limits") ;; (find-borceux1page (+ 17 38) "2.1 Products") ;; (find-borceux1page (+ 17 44) "2.2 Coproducts") ;; (find-borceux1page (+ 17 47) "2.3 Initial and terminal objects") ;; (find-borceux1page (+ 17 48) "2.4 Equalizers, coequalizers") ;; (find-borceux1page (+ 17 51) "2.5 Pullbacks, pushouts") ;; (find-borceux1page (+ 17 56) "2.6 Limits and colimits") ;; (find-borceux1page (+ 17 59) "2.7 Complete categories") ;; (find-borceux1page (+ 17 60) "2.8 Existence theorem for limits") ;; (find-borceux1page (+ 17 63) "2.9 Limit preserving functors") ;; (find-borceux1page (+ 17 66) "2.10 Absolute colimits") ;; (find-borceux1page (+ 17 69) "2.11 Final functors") ;; (find-borceux1page (+ 17 72) "2.12 Interchange of limits") ;; (find-borceux1page (+ 17 75) "2.13 Filtered colimits") ;; (find-borceux1page (+ 17 84) "2.14 Universality of colimits") ;; (find-borceux1page (+ 17 87) "2.15 Limits in categories of functors") ;; (find-borceux1page (+ 17 91) "2.16 Limits in comma categories") ;; (find-borceux1page (+ 17 93) "2.17 Exercises") ;; (find-borceux1page (+ 17 96) "3 Adjoint functors") ;; (find-borceux1text (+ 17 96) "Adjoint functors") ;; (find-borceux1page (+ 17 96) "3.1 Reflection along a functor") ;; (find-borceux1page (+ 17 99) "Theorem 3.1.5") ;; (find-borceux1text (+ 17 99) "Theorem 3.1.5") ;; (find-borceux1page (+ 17 100) "triangular equalities") ;; (find-borceux1text (+ 17 100) "triangular equalities") ;; (find-borceux1page (+ 17 106) "3.2 Properties of adjoint functors") ;; (find-borceux1page (+ 17 108) "3.3 The adjoint functor theorem") ;; (find-borceux1page (+ 17 114) "3.4 Fully faithful adjoint functors") ;; (find-borceux1page (+ 17 118) "3.5 Reflective subcategories") ;; (find-borceux1page (+ 17 120) "3.6 Epireflective subcategories") ;; (find-borceux1page (+ 17 122) "3.7 Kan extensions") ;; (find-borceux1page (+ 17 128) "3.8 Tensor product of set-valued functors") ;; (find-borceux1page (+ 17 130) "3.9 Exercises") ;; (find-borceux1page (+ 17 132) "4 Generators and projectives") ;; (find-borceux1page (+ 17 132) "4.1 Well-powered categories") ;; (find-borceux1page (+ 17 133) "4.2 Intersection and union") ;; (find-borceux1page (+ 17 136) "4.3 Strong epimorphisms") ;; (find-borceux1page (+ 17 147) "4.4 Epi-mono factorizations") ;; (find-borceux1page (+ 17 150) "4.5 Generators") ;; (find-borceux1page (+ 17 163) "4.6 Projectives") ;; (find-borceux1page (+ 17 167) "4.7 Injective cogenerators") ;; (find-borceux1page (+ 17 174) "4.8 Exercises") ;; (find-borceux1page (+ 17 176) "5 Categories of fractions") ;; (find-borceux1page (+ 17 176) "5.1 Graphs and path categories") ;; (find-borceux1page (+ 17 181) "5.2 Calculus of fractions") ;; (find-borceux1page (+ 17 190) "5.3 Reflective subcategories as categories of fractions") ;; (find-borceux1page (+ 17 193) "5.4 The orthogonal subcategory problem") ;; (find-borceux1page (+ 17 209) "5.5 Factorization systems") ;; (find-borceux1page (+ 17 218) "5.6 The case of localizations") ;; (find-borceux1page (+ 17 227) "5.7 Universal closure operations") ;; (find-borceux1page (+ 17 235) "5.8 The calculus of bidense morphisms") ;; (find-borceux1page (+ 17 248) "5.9 Exercises") ;; (find-borceux1page (+ 17 250) "6 Flat functors and Cauchy completeness") ;; (find-borceux1page (+ 17 250) "6.1 Exact functors") ;; (find-borceux1page (+ 17 253) "6.2 Left exact reflection of a functor") ;; (find-borceux1page (+ 17 260) "6.3 Flat functors") ;; (find-borceux1page (+ 17 267) "6.4 The relevance of regular cardinals") ;; (find-borceux1page (+ 17 271) "6.5 The splitting of idempotents") ;; (find-borceux1page (+ 17 277) "6.6 The more general adjoint functor theorem") ;; (find-borceux1page (+ 17 279) "6.7 Exercises") ;; (find-borceux1page (+ 17 281) "7 Bicategories and distributors") ;; (find-borceux1page (+ 17 281) "7.1 2-categories") ;; (find-borceux1page (+ 17 287) "7.2 2-functors and 2-natural transformations") ;; (find-borceux1page (+ 17 290) "7.3 Modifications and n-categories") ;; (find-borceux1page (+ 17 293) "7.4 2-limits and bilimits") ;; (find-borceux1page (+ 17 296) "7.5 Lax functors and pseudo-functors") ;; (find-borceux1page (+ 17 300) "7.6 Lax limits and pseudo-limits") ;; (find-borceux1page (+ 17 302) "7.7 Bicategories") ;; (find-borceux1page (+ 17 308) "7.8 Distributors") ;; (find-borceux1page (+ 17 314) "7.9 Cauchy completeness versus distributors") ;; (find-borceux1page (+ 17 323) "7.10 Exercises") ;; (find-borceux1page (+ 17 325) "8 Internal category theory") ;; (find-borceux1page (+ 17 325) "8.1 Internal categories and functors") ;; (find-borceux1page (+ 17 328) "8.2 Internal base-valued functors") ;; (find-borceux1page (+ 17 333) "8.3 Internal limits and colimits") ;; (find-borceux1page (+ 17 339) "8.4 Exercises") ;; (find-borceux1page (+ 17 341) "Bibliography") ;; (find-borceux1page (+ 17 343) "Index") ;; (find-borceux1text "") ;; (find-borceux2page) ;; (find-borceux2page 8 "Contents") ;; (find-borceux2page (+ 19 1) "1. Abelian Categories") ;; (find-borceux2page (+ 19 13) "1.4 Abelian Categories") ;; (find-borceux2page (+ 19 21) "1.6 Additivity of Abelian Categories") ;; (find-borceux2page (+ 19 34) "1.9 Diagram Chasing") ;; (find-borceux2page (+ 19 40) "1.10 Some Diagram Lemmas") ;; (find-borceux2page (+ 19 89) "2 Regular Categories") ;; (find-borceux2page (+ 19 212) "4.4 Characterization of monadic categories") ;; (find-borceux2page (+ 19 412) "8.6 Locally small fibrations") ;; (find-borceux2page (+ 19 439) "Index") ;; (find-borceux2text "") ;; (find-borceux3page) ;; (find-borceux3page 8 "Contents") ;; (find-borceux3page (+ 19 1) "1. Locales") ;; (find-borceux3page (+ 19 70) "1.9 Sober spaces") ;; (find-borceux3page (+ 19 113) "2.5 The stalks of a topological sheaf") ;; (find-borceux3page (+ 19 514) "Bibliography") ;; (find-borceux3page (+ 19 517) "Index") ;; (find-borceux3page (+ 19 1) "1 Locales") ;; (find-borceux3page (+ 19 1) "1.1 The intuitionistic propositional calculus") ;; (find-borceux3page (+ 19 5) "1.2 Heyting algebras") ;; (find-borceux3page (+ 19 13) "1.3 Locales") ;; (find-borceux3page (+ 19 18) "1.4 Limits and colimits of locales") ;; (find-borceux3page (+ 19 29) "1.5 Nuclei") ;; (find-borceux3page (+ 19 38) "1.6 Open morphisms of locales") ;; (find-borceux3page (+ 19 47) "1.7 Etale morphisms of locales") ;; (find-borceux3page (+ 19 61) "1.8 The points of a locale") ;; (find-borceux3page (+ 19 70) "1.9 Sober spaces") ;; (find-borceux3page (+ 19 73) "1.10 Compactness conditions") ;; (find-borceux3page (+ 19 82) "1.11 Regularity conditions") ;; (find-borceux3page (+ 19 84) "1.12 Exercises") ;; (find-borceux3page (+ 19 87) "2 Sheaves") ;; (find-borceux3page (+ 19 88) "2.1 Sheaves on a locale") ;; (find-borceux3page (+ 19 94) "2.2 Closed subobjects") ;; (find-borceux3page (+ 19 102) "2.3 Some categorical properties of sheaves") ;; (find-borceux3page (+ 19 108) "2.4 Etale spaces") ;; (find-borceux3page (+ 19 113) "2.5 The stalks of a topological sheaf") ;; (find-borceux3page (+ 19 123) "2.6 Associated sheaves and etale morphisms") ;; (find-borceux3page (+ 19 138) "2.7 Systems of generators for a sheaf") ;; (find-borceux3page (+ 19 144) "2.8 The theory of O-sets") ;; (find-borceux3page (+ 19 156) "2.9 Complete ft-sets") ;; (find-borceux3page (+ 19 168) "2.10 Some basic facts in ring theory") ;; (find-borceux3page (+ 19 173) "2.11 Sheaf representation of a ring") ;; (find-borceux3page (+ 19 183) "2.12 Change of base") ;; (find-borceux3page (+ 19 189) "2.13 Exercises") ;; (find-borceux3page (+ 19 192) "3 Grothendieck toposes") ;; (find-borceux3page (+ 19 192) "3.1 A categorical glance at sheaves") ;; (find-borceux3page (+ 19 195) "3.2 Grothendieck topologies") ;; (find-borceux3page (+ 19 205) "3.3 The associated sheaf functor theorem") ;; (find-borceux3page (+ 19 214) "3.4 Categorical properties of Grothendieck toposes") ;; (find-borceux3page (+ 19 222) "3.5 Localizations of Grothendieck toposes") ;; (find-borceux3page (+ 19 230) "3.6 Characterization of Grothendieck toposes") ;; (find-borceux3page (+ 19 243) "3.7 Exercises") ;; (find-borceux3page (+ 19 244) "4 The classifying topos") ;; (find-borceux3page (+ 19 244) "4.1 The points of a topos") ;; (find-borceux3page (+ 19 250) "4.2 The classifying topos of a finite limit theory") ;; (find-borceux3page (+ 19 257) "4.3 The classifying topos of a geometric sketch") ;; (find-borceux3page (+ 19 270) "4.4 The classifying topos of a coherent theory") ;; (find-borceux3page (+ 19 280) "4.5 Diaconescu's theorem") ;; (find-borceux3page (+ 19 287) "4.6 Exercises") ;; (find-borceux3page (+ 19 288) "5 Elementary toposes") ;; (find-borceux3page (+ 19 289) "5.1 The notion of a topos") ;; (find-borceux3page (+ 19 293) "5.2 Examples of toposes") ;; (find-borceux3page (+ 19 303) "5.3 Monomorphisms in a topos") ;; (find-borceux3page (+ 19 304) "5.4 Some set theoretical notions in a topos") ;; (find-borceux3page (+ 19 308) "5.5 Partial morphisms") ;; (find-borceux3page (+ 19 314) "5.6 Injective objects") ;; (find-borceux3page (+ 19 315) "5.7 Finite colimits") ;; (find-borceux3page (+ 19 321) "5.8 The slice toposes") ;; (find-borceux3page (+ 19 328) "5.9 Exactness properties of toposes") ;; (find-borceux3page (+ 19 334) "5.10 Union of subobjects") ;; (find-borceux3page (+ 19 338) "5.11 Morphisms of toposes") ;; (find-borceux3page (+ 19 339) "5.12 Exercises") ;; (find-borceux3page (+ 19 342) "6 Internal logic of a topos") ;; (find-borceux3page (+ 19 344) "6.1 The language of a topos") ;; (find-borceux3page (+ 19 348) "6.2 Categorical foundations of the logic of toposes") ;; (find-borceux3page (+ 19 354) "6.3 The calculus of truth tables") ;; (find-borceux3page (+ 19 359) "6.4 The point about "ghost" variables") ;; (find-borceux3page (+ 19 361) "6.5 Coherent theories") ;; (find-borceux3page (+ 19 371) "6.6 The Kripke-Joyal semantics") ;; (find-borceux3page (+ 19 395) "6.7 The intuitionistic propositional calculus in a topos") ;; (find-borceux3page (+ 19 400) "6.8 The intuitionistic predicate calculus in a topos") ;; (find-borceux3page (+ 19 409) "6.9 Intuitionistic set theory in a topos") ;; (find-borceux3page (+ 19 417) "6.10 The structure of a topos in its internal language") ;; (find-borceux3page (+ 19 424) "6.11 Locales in a topos") ;; (find-borceux3page (+ 19 430) "6.12 Exercises") ;; (find-borceux3page (+ 19 432) "7 The law of excluded middle") ;; (find-borceux3page (+ 19 432) "7.1 The regular elements of (I") ;; (find-borceux3page (+ 19 440) "7.2 Boolean toposes") ;; (find-borceux3page (+ 19 442) "7.3 De Morgan toposes") ;; (find-borceux3page (+ 19 444) "7.4 Decidable objects") ;; (find-borceux3page (+ 19 447) "7.5 The axiom of choice") ;; (find-borceux3page (+ 19 452) "7.6 Exercises") ;; (find-borceux3page (+ 19 453) "8 The axiom of infinity") ;; (find-borceux3page (+ 19 453) "8.1 The natural number object") ;; (find-borceux3page (+ 19 465) "8.2 Infinite objects in a topos") ;; (find-borceux3page (+ 19 468) "8.3 Arithmetic in a topos") ;; (find-borceux3page (+ 19 473) "8.4 The trichotomy") ;; (find-borceux3page (+ 19 478) "8.5 Finite objects in a topos") ;; (find-borceux3page (+ 19 483) "8.6 Exercises") ;; (find-borceux3page (+ 19 486) "9 Sheaves in a topos") ;; (find-borceux3page (+ 19 486) "9.1 Topologies in a topos") ;; (find-borceux3page (+ 19 492) "9.2 Sheaves for a topology") ;; (find-borceux3page (+ 19 500) "9.3 The localizations of a topos") ;; (find-borceux3page (+ 19 510) "9.4 The double negation sheaves") ;; (find-borceux3page (+ 19 511) "9.5 Exercises") ;; (find-borceux3page (+ 19 514) "Bibliography") ;; (find-borceux3page (+ 19 517) "Index") ;; (find-borceux3text "") ;; «bradley» (to ".bradley") ;; (find-books "__cats/__cats.el" "bradley") ;; https://www.math3ma.com/blog/the-yoneda-embedding ;; https://www.math3ma.com/blog/the-yoneda-lemma ;; https://www.math3ma.com/blog/limits-and-colimits-part-2 ;; https://www.math3ma.com/blog/what-is-an-adjunction-part-3 ;; https://www.math3ma.com/blog/the-sierpinski-space-and-its-special-property ;; https://www.math3ma.com/blog/one-line-proof-fundamental-group-of-the-circle ;; https://www.math3ma.com/blog/notes-on-act ;; Tai-Danae Bradley: "What is applied category theory?" ;; https://arxiv.org/abs/1809.05923 ;; https://arxiv.org/pdf/1809.05923.pdf ;; (find-fline "$S/https/arxiv.org/pdf/") ;; (find-psne-arxiv-links "https://arxiv.org/pdf/1809.05923.pdf" "bradleywhatisact") (code-pdf-page "bradleywhatisact" "$S/https/arxiv.org/pdf/1809.05923.pdf") (code-pdf-text "bradleywhatisact" "$S/https/arxiv.org/pdf/1809.05923.pdf") ;; (find-bradleywhatisactpage) ;; (find-bradleywhatisactpage 4 "Contents") ;; (find-bradleywhatisacttext) ;; ;; https://www.youtube.com/watch?v=wiadG3ywJIs At the Interface of Algebra and Statistics ;; «bradley-bryson-terilla» (to ".bradley-bryson-terilla") ;; https://topology.mitpress.mit.edu/ ;; «brandenburg» (to ".brandenburg") ;; (find-books "__cats/__cats.el" "brandenburg") ;; Martin Brandenburg: "Tensor categorical foundations of algebraic geometry" ;; https://arxiv.org/abs/1410.1716 ;; https://arxiv.org/pdf/1410.1716.pdf (code-pdf-page "brandenburg" "$S/https/arxiv.org/pdf/1410.1716.pdf") (code-pdf-text "brandenburg" "$S/https/arxiv.org/pdf/1410.1716.pdf") ;; (find-brandenburgpage) ;; (find-brandenburgtext) ;; (find-brandenburgpage 2 "Contents") ;; (find-brandenburgtext 2 "Contents") ;; (find-brandenburgpage 4 "trivially trivial") ;; (find-brandenburgtext 4 "trivially trivial") ;; «brown» (to ".brown") ;; (find-books "__cats/__cats.el" "brown") ;; https://groupoids.org.uk/publar.html ;; https://groupoids.org.uk/pdffiles/Analogy-and-Comparison.pdf ;; (find-fline "$S/https/groupoids.org.uk/pdffiles/") (code-xpdf "brownac" "$S/https/groupoids.org.uk/pdffiles/Analogy-and-Comparison.pdf") (code-pdf-text "brownac" "$S/https/groupoids.org.uk/pdffiles/Analogy-and-Comparison.pdf") (code-xpdf "brownem" "$S/https/groupoids.org.uk/pdffiles/eureka-meth1.pdf") (code-pdf-text "brownem" "$S/https/groupoids.org.uk/pdffiles/eureka-meth1.pdf") ;; (find-brownacpage) ;; (find-brownactext) ;; (find-brownacpage 9 "Comparing categories") ;; (find-brownactext 9 "Comparing categories") ;; (find-brownacpage 11 "A case study: comma categories") ;; (find-brownactext 11 "A case study: comma categories") ;; (find-brownacpage 13 "A question of identities") ;; (find-brownactext 13 "A question of identities") ;; (find-brownacpage 15 "Categories as mixed algebraic / geometric") ;; (find-brownactext 15 "Categories as mixed algebraic / geometric") ;; (find-brownempage) ;; (find-brownemtext) ;; «burroni» (to ".burroni") ;; http://cahierstgdc.com/index.php/backsets/ ;; http://www.numdam.org/journals/CTGDC/ ;; http://www.numdam.org/issues/CTGDC_1981__22_3/ ;; http://www.numdam.org/article/CTGDC_1981__22_3_249_0.pdf ;; Albert Burroni: "Algèbres graphiques (sur un concept de dimension dans les langages formels)" ;; Cahiers de topologie et géométrie différentielle catégoriques, tome 22, no 3 (1981), p.249-265 (code-pdf-page "burroni" "$S/http/www.numdam.org/article/CTGDC_1981__22_3_249_0.pdf") (code-pdf-text "burroni" "$S/http/www.numdam.org/article/CTGDC_1981__22_3_249_0.pdf") ;; (find-burronipage) ;; (find-burronitext) ;; «caccamo» (to ".caccamo") ;; (find-books "__cats/__cats.el" "caccamo") ;; http://bvs.fapesp.br/pt/pesquisador/36812/mario-jose-caccamo/ ;; https://www3.ic.unicamp.br/ensino/pg/defesas/historico/1998 ;; https://scholar.google.com/citations?hl=en&user=067pB_0AAAAJ&view_op=list_works&sortby=pubdate auth ;; https://scholar.google.com/scholar?oi=bibs&hl=en&cites=7527025564163275229 article ;; https://scholar.google.com/scholar?oi=bibs&hl=en&cites=5700899832747216969 thesis ;; ;; https://www.cl.cam.ac.uk/~gw104/catnotes.ps ;; https://www.cl.cam.ac.uk/~gw104/catnotes.pdf ;; (find-sh0 "cd $S/https/www.cl.cam.ac.uk/~gw104/ && ps2pdf catnotes.ps") (code-pdf-page "caccamocatnotes" "$S/https/www.cl.cam.ac.uk/~gw104/catnotes.pdf") (code-pdf-text "caccamocatnotes" "$S/https/www.cl.cam.ac.uk/~gw104/catnotes.pdf") ;; (find-caccamocatnotespage) ;; (find-caccamocatnotestext) ;; ;; «caccamo-phd» (to ".caccamo-phd") ;; (find-books "__cats/__cats.el" "caccamo-phd") ;; Mario José Cáccamo: "A Formal Calculus for Categories" (PhD thesis, 2004) ;; http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.1.7460 (code-pdf-page "caccamophd" "~/books/__cats/caccamo__a_formal_calculus_for_categories.pdf") (code-pdf-text "caccamophd" "~/books/__cats/caccamo__a_formal_calculus_for_categories.pdf" 16) ;; (find-caccamophdpage) ;; (find-caccamophdpage 13 "Contents") ;; (find-caccamophdtext 13 "Contents") ;; (find-caccamophdpage (+ 16 1) "1 Introduction") ;; (find-caccamophdpage (+ 16 1) "1.1 Motivation") ;; (find-caccamophdpage (+ 16 2) "1.2 Category Theory") ;; (find-caccamophdpage (+ 16 2) "1.2.1 Categories, Functors and Natural Transformations") ;; (find-caccamophdpage (+ 16 3) "1.2.2 Constructions on Categories") ;; (find-caccamophdpage (+ 16 5) "1.3 Functoriality and Naturality") ;; (find-caccamophdpage (+ 16 8) "1.4 Universal Properties and Representables") ;; (find-caccamophdpage (+ 16 9) "1.5 The Calculus") ;; (find-caccamophdpage (+ 16 9) "1.5.1 Syntax") ;; (find-caccamophdpage (+ 16 10) "1.5.2 Semantics") ;; (find-caccamophdpage (+ 16 11) "1.6 Related Work and Applications") ;; (find-caccamophdpage (+ 16 11) "1.7 Synopsis") ;; (find-caccamophdpage (+ 16 13) "2 Representability") ;; (find-caccamophdpage (+ 16 13) "2.1 Universal Properties") ;; (find-caccamophdpage (+ 16 15) "2.2 Limits") ;; (find-caccamophdpage (+ 16 16) "2.2.1 Completeness and Parameters") ;; (find-caccamophdpage (+ 16 18) "2.2.2 Colimits") ;; (find-caccamophdpage (+ 16 19) "2.2.3 Initial Functors") ;; (find-caccamophdpage (+ 16 21) "2.2.4 Preservation of Limits") ;; (find-caccamophdpage (+ 16 21) "2.3 Adjunctions") ;; (find-caccamophdpage (+ 16 24) "2.3.1 Examples of Adjunctions") ;; (find-caccamophdpage (+ 16 27) "3 Ends and Coends") ;; (find-caccamophdpage (+ 16 27) "3.1 Dinatural Transformations") ;; (find-caccamophdpage (+ 16 30) "3.1.1 Dinaturality generalises naturality") ;; (find-caccamophdpage (+ 16 30) "3.1.2 Wedges") ;; (find-caccamophdpage (+ 16 31) "3.1.3 Examples") ;; (find-caccamophdpage (+ 16 33) "3.2 Ends") ;; (find-caccamophdpage (+ 16 34) "3.2.1 Limits are Ends") ;; (find-caccamophdpage (+ 16 34) "3.2.2 Ends are Limits") ;; (find-caccamophdpage (+ 16 35) "3.2.3 Ends in Set") ;; (find-caccamophdpage (+ 16 35) "3.2.4 (Di)Naturality Formula") ;; (find-caccamophdpage (+ 16 36) "3.2.5 Iterated Ends: Fubini") ;; (find-caccamophdpage (+ 16 38) "3.2.6 Ends in Functor Categories") ;; (find-caccamophdpage (+ 16 39) "3.3 Coends") ;; (find-caccamophdpage (+ 16 39) "3.4 Powers and Copowers") ;; (find-caccamophdpage (+ 16 41) "3.5 Presheaf Categories") ;; (find-caccamophdpage (+ 16 41) "3.5.1 Weighted Limits") ;; (find-caccamophdpage (+ 16 48) "3.5.2 Weighted Colimits") ;; (find-caccamophdpage (+ 16 50) "3.5.3 Density") ;; (find-caccamophdpage (+ 16 52) "3.5.4 Exponentials") ;; (find-caccamophdpage (+ 16 53) "4 Preservation of Limits") ;; (find-caccamophdpage (+ 16 53) "4.1 Limiting Cones") ;; (find-caccamophdpage (+ 16 55) "4.2 Preservation of Limiting Cones") ;; (find-caccamophdpage (+ 16 57) "4.3 Connected Diagrams") ;; (find-caccamophdpage (+ 16 60) "4.4 Products") ;; (find-caccamophdpage (+ 16 62) "4.5 General Limits") ;; (find-caccamophdpage (+ 16 66) "4.6 Some Examples") ;; (find-caccamophdpage (+ 16 66) "4.6.1 Adjunctions and limits") ;; (find-caccamophdpage (+ 16 67) "4.6.2 Profunctors") ;; (find-caccamophdpage (+ 16 71) "5 A Term Calculus for Functors") ;; (find-caccamophdpage (+ 16 71) "5.1 The Language") ;; (find-caccamophdpage (+ 16 71) "5.1.1 Basic Types") ;; (find-caccamophdpage (+ 16 72) "5.1.2 Syntax and Type Theory") ;; (find-caccamophdpage (+ 16 76) "5.1.3 Substitution") ;; (find-caccamophdpage (+ 16 80) "5.1.4 Examples") ;; (find-caccamophdpage (+ 16 82) "5.2 A Normal Form for Derivations") ;; (find-caccamophdpage (+ 16 82) "5.2.1 W-normal Derivations") ;; (find-caccamophdpage (+ 16 85) "5.2.2 CW-normal Derivations") ;; (find-caccamophdpage (+ 16 87) "5.2.3 DCW-normal Derivations") ;; (find-caccamophdpage (+ 16 89) "5.3 Categorical Model") ;; (find-caccamophdpage (+ 16 89) "5.3.1 Types and Contexts") ;; (find-caccamophdpage (+ 16 89) "5.3.2 Interpretation for Derivations") ;; (find-caccamophdpage (+ 16 92) "5.3.3 Example") ;; (find-caccamophdpage (+ 16 92) "5.3.4 Semantics of Substitution") ;; (find-caccamophdpage (+ 16 94) "5.4 Coherence") ;; (find-caccamophdpage (+ 16 98) "5.5 Without Duality") ;; (find-caccamophdpage (+ 16 100) "5.6 Products") ;; (find-caccamophdpage (+ 16 103) "6 Natural Isomorphisms") ;; (find-caccamophdpage (+ 16 103) "6.1 Isomorphism Judgements") ;; (find-caccamophdpage (+ 16 103) "6.1.1 Equational Theory of the Lambda Calculus") ;; (find-caccamophdpage (+ 16 106) "6.1.2 Representables and Ends") ;; (find-caccamophdpage (+ 16 109) "6.1.3 Duality") ;; (find-caccamophdpage (+ 16 111) "6.1.4 Products") ;; (find-caccamophdpage (+ 16 112) "6.1.5 Examples") ;; (find-caccamophdpage (+ 16 112) "6.1.6 Limits") ;; (find-caccamophdpage (+ 16 113) "6.1.7 Density Formula and the Yoneda Lemma") ;; (find-caccamophdpage (+ 16 114) "6.2 Interpretation") ;; (find-caccamophdpage (+ 16 114) "6.2.1 Lambda Calculus") ;; (find-caccamophdpage (+ 16 115) "6.2.2 Axioms") ;; (find-caccamophdpage (+ 16 116) "6.2.3 Representability and Duality") ;; (find-caccamophdpage (+ 16 116) "6.2.4 Lack of Coherence") ;; (find-caccamophdpage (+ 16 117) "6.3 Weighted Limits") ;; (find-caccamophdpage (+ 16 120) "6.4 Another Approach to Contravariance") ;; (find-caccamophdpage (+ 16 123) "7 Towards a Calculus for Enrichment") ;; (find-caccamophdpage (+ 16 123) "7.1 Symmetric Monoidal Closed Categories") ;; (find-caccamophdpage (+ 16 125) "7.2 V-Categories, V-Functors and V-Naturality") ;; (find-caccamophdpage (+ 16 126) "7.2.1 Opposite V-Category") ;; (find-caccamophdpage (+ 16 127) "7.2.2 V-Bifunctors") ;; (find-caccamophdpage (+ 16 128) "7.2.3 The Underlying "Ordinary" Category") ;; (find-caccamophdpage (+ 16 128) "7.3 Representable Functors and Universality") ;; (find-caccamophdpage (+ 16 130) "7.3.1 Functor V-Categories and the Enriched Yoneda Lemma") ;; (find-caccamophdpage (+ 16 132) "7.3.2 Tensors and Cotensors") ;; (find-caccamophdpage (+ 16 132) "7.3.3 A Notion of Limit") ;; (find-caccamophdpage (+ 16 133) "7.4 An Enriched Model for the Calculus") ;; (find-caccamophdpage (+ 16 134) "7.4.1 Contexts and Judgements") ;; (find-caccamophdpage (+ 16 135) "7.4.2 Structural Rules, Limits and Dinaturalities") ;; (find-caccamophdpage (+ 16 137) "8 Extensions and Applications") ;; (find-caccamophdpage (+ 16 141) "A The Calculus") ;; (find-caccamophdpage (+ 16 141) "A.1 Syntax") ;; (find-caccamophdpage (+ 16 141) "A.2 Rules for Functoriality") ;; (find-caccamophdpage (+ 16 141) "A.2.1 Axioms") ;; (find-caccamophdpage (+ 16 141) "A.2.2 Structural Rules") ;; (find-caccamophdpage (+ 16 142) "A.2.3 Logical Rules") ;; (find-caccamophdpage (+ 16 142) "A.3 Products") ;; (find-caccamophdpage (+ 16 142) "A.3.1 Syntax") ;; (find-caccamophdpage (+ 16 143) "A.3.2 Rules") ;; (find-caccamophdpage (+ 16 143) "A.4 Rules for Natural Isomorphisms") ;; (find-caccamophdpage (+ 16 143) "A.4.1 Structural Rules") ;; (find-caccamophdpage (+ 16 143) "A.4.2 Conversion Rules") ;; (find-caccamophdpage (+ 16 144) "A.4.3 Equivalence Rules") ;; (find-caccamophdpage (+ 16 144) "A.4.4 Congruence Rules") ;; (find-caccamophdpage (+ 16 144) "A.4.5 Categorical Rules") ;; (find-caccamophdpage (+ 16 145) "A.5 Rules for Weighted Limits") ;; (find-caccamophdpage (+ 16 147) "Bibliography") ;; (find-caccamophdtext "") ;; http://repositorio.unicamp.br/jspui/handle/REPOSIP/276048/ Cáccamo - mestrado unicamp ;; http://bvs.fapesp.br/pt/pesquisador/36812/mario-jose-caccamo/ ;; «caccamo-winskel» (to ".caccamo-winskel") ;; (find-books "__cats/__cats.el" "caccamo-winskel") ;; (find-books "__cats/__cats.el" "winskel") ;; (find-LATEX "catsem-u.bib" "bib-CaccamoWinskel") ;; See: (find-books "__cats/__cats.el" "loregian") ;; Caccamo-Winskel: "A Higher-Order Calculus for Categories" (2001) ;; https://www.brics.dk/RS/01/27/BRICS-RS-01-27.pdf (code-pdf-page "hocc" "$S/https/www.brics.dk/RS/01/27/BRICS-RS-01-27.pdf") (code-pdf-text "hocc" "$S/https/www.brics.dk/RS/01/27/BRICS-RS-01-27.pdf") ;; (find-hoccpage) ;; (find-hocctext) ;; (find-hoccpage (+ 2 5) "Yoneda") ;; (find-hocctext (+ 2 5) "Yoneda") ;; (find-hoccpage (+ 2 6) "3 Ends and Coends") ;; (find-hocctext (+ 2 6) "3 Ends and Coends") ;; (find-hoccpage (+ 2 15) "Figure 2: Typing rules") ;; (find-hocctext (+ 2 15) "Figure 2: Typing rules") (code-pdf-page "caccamowinskellip" "~/books/__cats/caccamo_winskel__limit_preservation_from_naturality.pdf") (code-pdf-text "caccamowinskellip" "~/books/__cats/caccamo_winskel__limit_preservation_from_naturality.pdf" 1) ;; (find-caccamowinskellippage) ;; (find-caccamowinskellippage 1 "Contents") ;; (find-caccamowinskellippage (+ 1 189) "Index") ;; (find-caccamowinskelliptext "") ;; «cahali» (to ".cahali") ;; https://www.teses.usp.br/teses/disponiveis/45/45131/tde-17072019-150841/pt-br.php ;; https://www.teses.usp.br/teses/disponiveis/45/45131/tde-17072019-150841/publico/cahali_versao_corrigida.pdf (code-pdf-page "cahali" "$S/https/www.teses.usp.br/teses/disponiveis/45/45131/tde-17072019-150841/publico/cahali_versao_corrigida.pdf") (code-pdf-text "cahali" "$S/https/www.teses.usp.br/teses/disponiveis/45/45131/tde-17072019-150841/publico/cahali_versao_corrigida.pdf" 10) ;; (find-cahalipage) ;; (find-cahalitext) ;; (find-cahalipage 9 "Sumário") ;; (find-cahalitext 9 "Sumário") ;; (find-cahalipage (+ 10 123) "4.6 Linguagem de Mitchell-Bénabou") ;; (find-cahalitext (+ 10 123) "4.6 Linguagem de Mitchell-Bénabou") ;; (find-cahalipage (+ 10 137) "4.7 Semântica de Kripke-Joyal") ;; (find-cahalitext (+ 10 137) "4.7 Semântica de Kripke-Joyal") ;; (find-cahalipage (+ 10 185) "Bibliografia") ;; (find-cahalitext (+ 10 185) "Bibliografia") ;; «capucci» (to ".capucci") ;; (find-books "__cats/__cats.el" "capucci") (code-pdf-page "capucciim" "~/books/__cats/capucci__internal_methods_for_algebraic_geometry.pdf") (code-pdf-text "capucciim" "~/books/__cats/capucci__internal_methods_for_algebraic_geometry.pdf" 1) ;; (find-capucciimpage) ;; (find-capucciimpage 1 "Contents") ;; (find-capucciimpage (+ 1 189) "Index") ;; (find-capucciimtext "") ;; «caramello» (to ".caramello") ;; (find-books "__cats/__cats.el" "caramello") (code-pdf-page "caramello" "~/books/__cats/caramello__theories_sites_toposes.pdf") (code-pdf-text "caramello" "~/books/__cats/caramello__theories_sites_toposes.pdf" 13) ;; (find-caramellopage) ;; (find-caramellotext "") ;; (find-caramellopage 10 "CONTENTS") ;; (find-caramellotext 10 "CONTENTS") ;; (find-caramellopage (+ 13 1) "Notation and terminology") ;; (find-caramellopage (+ 13 3) "Introduction") ;; (find-caramellopage (+ 13 9) "1 Topos-theoretic background") ;; (find-caramellopage (+ 13 9) "1.1 Grothendieck toposes") ;; (find-caramellopage (+ 13 10) "1.1.1 The notion of site") ;; (find-caramellopage (+ 13 12) "1.1.2 Sheaves on a site") ;; (find-caramellopage (+ 13 14) "1.1.3 Basic properties of categories of sheaves") ;; (find-caramellopage (+ 13 17) "1.1.4 Geometric morphisms") ;; (find-caramellopage (+ 13 20) "1.1.5 Diaconescu's equivalence") ;; (find-caramellopage (+ 13 22) "1.2 First-order logic") ;; (find-caramellopage (+ 13 23) "1.2.1 First-order theories") ;; (find-caramellopage (+ 13 27) "1.2.2 Deduction systems for first-order logic") ;; (find-caramellopage (+ 13 28) "1.2.3 Fragments of first-order logic") ;; (find-caramellopage (+ 13 29) "1.3 Categorical semantics") ;; (find-caramellopage (+ 13 31) "1.3.1 Classes of `logical' categories") ;; (find-caramellopage (+ 13 34) "1.3.2 Completions of `logical' categories") ;; (find-caramellopage (+ 13 35) "1.3.3 Models of first-order theories in categories") ;; (find-caramellopage (+ 13 39) "1.3.4 Elementary toposes") ;; (find-caramellopage (+ 13 43) "1.3.5 Toposes as mathematical universes") ;; (find-caramellopage (+ 13 45) "1.4 Syntactic categories") ;; (find-caramellopage (+ 13 45) "1.4.1 Definition") ;; (find-caramellopage (+ 13 48) "1.4.2 Syntactic sites") ;; (find-caramellopage (+ 13 49) "1.4.3 Models as functors") ;; (find-caramellopage (+ 13 50) "1.4.4 Categories with `logical structure' as syntactic categories") ;; (find-caramellopage (+ 13 51) "1.4.5 Soundness and completeness") ;; (find-caramellopage (+ 13 53) "2 Classifying toposes and the `bridge' technique") ;; (find-caramellopage (+ 13 53) "2.1 Geometric logic and classifying toposes") ;; (find-caramellopage (+ 13 53) "2.1.1 Geometric theories") ;; (find-caramellopage (+ 13 55) "2.1.2 The notion of classifying topos") ;; (find-caramellopage (+ 13 60) "2.1.3 Interpretations and geometric morphisms") ;; (find-caramellopage (+ 13 63) "2.1.4 Classifying toposes for propositional theories") ;; (find-caramellopage (+ 13 64) "2.1.5 Classifying toposes for cartesian theories") ;; (find-caramellopage (+ 13 65) "2.1.6 Further examples") ;; (find-caramellopage (+ 13 67) "2.1.7 A characterization theorem for universal models in classifying toposes") ;; (find-caramellopage (+ 13 69) "2.2 Toposes as `bridges'") ;; (find-caramellopage (+ 13 69) "2.2.1 The `bridge-building' technique") ;; (find-caramellopage (+ 13 70) "2.2.2 Decks of `bridges' : Morita equivalences") ;; (find-caramellopage (+ 13 74) "2.2.3 Arches of `bridges' : site characterizations") ;; (find-caramellopage (+ 13 76) "2.2.4 Some simple examples") ;; (find-caramellopage (+ 13 80) "2.2.5 A theory of `structural translations'") ;; (find-caramellopage (+ 13 83) "3 A duality theorem") ;; (find-caramellopage (+ 13 83) "3.1 Preliminary results") ;; (find-caramellopage (+ 13 83) "3.1.1 A 2-dimensional Yoneda lemma") ;; (find-caramellopage (+ 13 84) "3.1.2 An alternative view of Grothendieck topologies") ;; (find-caramellopage (+ 13 86) "3.1.3 Generators for Grothendieck topologies") ;; (find-caramellopage (+ 13 88) "3.2 Quotients and subtoposes") ;; (find-caramellopage (+ 13 88) "3.2.1 The duality theorem") ;; (find-caramellopage (+ 13 94) "3.2.2 The proof-theoretic interpretation") ;; (find-caramellopage (+ 13 105) "3.3 A deduction theorem for geometric logic") ;; (find-caramellopage (+ 13 107) "4 Lattices of theories") ;; (find-caramellopage (+ 13 107) "4.1 The lattice operations on Grothendieck topologies and quotients") ;; (find-caramellopage (+ 13 108) "4.1.1 The lattice operations on Grothendieck topologies") ;; (find-caramellopage (+ 13 112) "4.1.2 The lattice operations on theories") ;; (find-caramellopage (+ 13 115) "4.1.3 The Heyting implication in ThT") ;; (find-caramellopage (+ 13 119) "4.2 Transfer of notions from topos theory to logic") ;; (find-caramellopage (+ 13 119) "4.2.1 Relativization of local operators") ;; (find-caramellopage (+ 13 126) "4.2.2 Open, closed, quasi-closed subtoposes") ;; (find-caramellopage (+ 13 130) "4.2.3 The Booleanization and DeMorganization of a geometric theory") ;; (find-caramellopage (+ 13 132) "4.2.4 The dense-closed factorization of a geometric inclusion") ;; (find-caramellopage (+ 13 133) "4.2.5 Skeletal inclusions") ;; (find-caramellopage (+ 13 134) "4.2.6 The surjection-inclusion factorization") ;; (find-caramellopage (+ 13 135) "4.2.7 Atoms") ;; (find-caramellopage (+ 13 138) "4.2.8 Subtoposes with enough points") ;; (find-caramellopage (+ 13 139) "5 Flat functors and classifying toposes") ;; (find-caramellopage (+ 13 140) "5.1 Preliminary results on indexed colimits in toposes") ;; (find-caramellopage (+ 13 140) "5.1.1 Background on indexed categories") ;; (find-caramellopage (+ 13 144) "5.1.2 E-filtered indexed categories") ;; (find-caramellopage (+ 13 145) "5.1.3 Indexation of internal diagrams") ;; (find-caramellopage (+ 13 146) "5.1.4 Colimits and tensor products") ;; (find-caramellopage (+ 13 150) "5.1.5 E-final functors") ;; (find-caramellopage (+ 13 157) "5.1.6 A characterization of E-indexed colimits") ;; (find-caramellopage (+ 13 169) "5.1.7 Explicit calculation of set-indexed colimits") ;; (find-caramellopage (+ 13 176) "5.2 Extensions of flat functors") ;; (find-caramellopage (+ 13 176) "5.2.1 General extensions") ;; (find-caramellopage (+ 13 178) "5.2.2 Extensions along embeddings of categories") ;; (find-caramellopage (+ 13 181) "5.2.3 Extensions from categories of set-based models to syntactic categories") ;; (find-caramellopage (+ 13 187) "5.2.4 A general adjunction") ;; (find-caramellopage (+ 13 194) "5.3 Yoneda representations of flat functors") ;; (find-caramellopage (+ 13 195) "5.3.1 Cauchy completion of sites") ;; (find-caramellopage (+ 13 197) "6 Theories of presheaf type: general criteria") ;; (find-caramellopage (+ 13 198) "6.1 Preliminary results") ;; (find-caramellopage (+ 13 198) "6.1.1 A canonical form for Morita equivalences") ;; (find-caramellopage (+ 13 199) "6.1.2 Universal models and definability") ;; (find-caramellopage (+ 13 202) "6.1.3 A syntactic criterion for a theory to be of presheaf type") ;; (find-caramellopage (+ 13 204) "6.1.4 Finitely presentable = finitely presented") ;; (find-caramellopage (+ 13 208) "6.1.5 A syntactic description of the finitely presentable models") ;; (find-caramellopage (+ 13 210) "6.2 Internal finite presentability") ;; (find-caramellopage (+ 13 210) "6.2.1 Objects of homomorphisms") ;; (find-caramellopage (+ 13 212) "6.2.2 Strong finite presentability") ;; (find-caramellopage (+ 13 216) "6.2.3 Semantic E-finite presentability") ;; (find-caramellopage (+ 13 217) "6.3 Semantic criteria for a theory to be of presheaf type") ;; (find-caramellopage (+ 13 217) "6.3.1 The characterization theorem") ;; (find-caramellopage (+ 13 223) "6.3.2 Concrete reformulations") ;; (find-caramellopage (+ 13 239) "6.3.3 Abstract reformulation") ;; (find-caramellopage (+ 13 241) "7 Expansions and faithful interpretations") ;; (find-caramellopage (+ 13 241) "7.1 Expansions of geometric theories") ;; (find-caramellopage (+ 13 241) "7.1.1 General theory") ;; (find-caramellopage (+ 13 246) "7.1.2 Another criterion for a theory to be of presheaf type") ;; (find-caramellopage (+ 13 247) "7.1.3 Expanding a geometric theory to a theory of presheaf type") ;; (find-caramellopage (+ 13 249) "7.1.4 Presheaf-type expansions") ;; (find-caramellopage (+ 13 251) "7.2 Faithful interpretations of theories of presheaf type") ;; (find-caramellopage (+ 13 251) "7.2.1 General results") ;; (find-caramellopage (+ 13 256) "7.2.2 Injectivizations of theories") ;; (find-caramellopage (+ 13 258) "7.2.3 Finitely presentable and finitely generated models") ;; (find-caramellopage (+ 13 261) "7.2.4 Further reformulations of condition (iii) of Theorem 6.3.1") ;; (find-caramellopage (+ 13 268) "7.2.5 A criterion for injectivizations") ;; (find-caramellopage (+ 13 273) "8 Quotients of a theory of presheaf type") ;; (find-caramellopage (+ 13 274) "8.1 Studying quotients through the associated Grothendieck topologies") ;; (find-caramellopage (+ 13 274) "8.1.1 The notion of J-homogeneous model") ;; (find-caramellopage (+ 13 280) "8.1.2 Axiomatizations for the J-homogeneous models") ;; (find-caramellopage (+ 13 284) "8.1.3 Quotients with enough set-based models") ;; (find-caramellopage (+ 13 288) "8.1.4 Coherent quotients and topologies of finite type") ;; (find-caramellopage (+ 13 292) "8.1.5 An example") ;; (find-caramellopage (+ 13 293) "8.2 Presheaf-type quotients") ;; (find-caramellopage (+ 13 293) "8.2.1 Finality conditions") ;; (find-caramellopage (+ 13 295) "8.2.2 Rigid topologies") ;; (find-caramellopage (+ 13 299) "8.2.3 Finding theories classified by a given presheaf topos") ;; (find-caramellopage (+ 13 305) "9 Examples of theories of presheaf type") ;; (find-caramellopage (+ 13 305) "9.1 Theories whose finitely presentable models are finite") ;; (find-caramellopage (+ 13 307) "9.2 The theory of abstract circles") ;; (find-caramellopage (+ 13 310) "9.3 The geometric theory of finite sets") ;; (find-caramellopage (+ 13 312) "9.4 The theory of Diers fields") ;; (find-caramellopage (+ 13 317) "9.5 The theory of algebraic extensions of a given field") ;; (find-caramellopage (+ 13 318) "9.6 Groups with decidable equality") ;; (find-caramellopage (+ 13 320) "9.7 Locally finite groups") ;; (find-caramellopage (+ 13 321) "9.8 Vector spaces") ;; (find-caramellopage (+ 13 322) "9.9 The theory of abelian `-groups with strong unit") ;; (find-caramellopage (+ 13 325) "10 Some applications") ;; (find-caramellopage (+ 13 325) "10.1 Restrictions of Morita equivalences") ;; (find-caramellopage (+ 13 326) "10.2 A solution to the boundary problem for subtoposes") ;; (find-caramellopage (+ 13 327) "10.3 Syntax-semantics `bridges'") ;; (find-caramellopage (+ 13 331) "10.4 Topos-theoretic Fraïssé theorem") ;; (find-caramellopage (+ 13 340) "10.5 Maximal theories and Galois representations") ;; (find-caramellopage (+ 13 345) "10.6 A characterization theorem for geometric logic") ;; (find-caramellopage (+ 13 346) "10.7 The maximal spectrum of a commutative ring") ;; (find-caramellopage (+ 13 354) "10.8 Compactness conditions for geometric theories") ;; (find-caramellopage (+ 13 359) "Bibliography") ;; (find-caramellopage (+ 13 363) "Index") ;; (find-caramellotext "") ;; «caramello-tfil» (to ".caramello-tfil") ;; (find-books "__cats/__cats.el" "caramello-tfil") ;; Olivia Caramello: "Topologies for intermediate logics" ;; https://arxiv.org/abs/1205.2547 ;; https://arxiv.org/pdf/1205.2547.pdf ;; (find-fline "$S/https/arxiv.org/pdf/") (code-pdf-page "caramellotfil" "$S/https/arxiv.org/pdf/1205.2547.pdf") (code-pdf-text "caramellotfil" "$S/https/arxiv.org/pdf/1205.2547.pdf") ;; (find-caramellotfilpage) ;; (find-caramellotfiltext) ;; (find-caramellotfilpage 2 "1 Introduction") ;; (find-caramellotfiltext 2 "1 Introduction") ;; (find-caramellotfilpage 3 "2 Criteria" "to satisfy" "an intermediate logic") ;; (find-caramellotfiltext 3 "2 Criteria" "to satisfy" "an intermediate logic") ;; (find-caramellotfilpage 8 "3 Dense, weakly open and implicationally open") ;; (find-caramellotfiltext 8 "3 Dense, weakly open and implicationally open") ;; (find-caramellotfilpage 15 "4 Analogues of the double negation") ;; (find-caramellotfiltext 15 "4 Analogues of the double negation") ;; (find-caramellotfilpage 21 "References") ;; (find-caramellotfiltext 21 "References") ;; "A topos-theoretic approach to Stone-type dualities" (2011) ;; https://arxiv.org/abs/1103.3493 ;; https://arxiv.org/pdf/1103.3493.pdf (code-pdf-page "caramellottstone" "$S/https/arxiv.org/pdf/1103.3493.pdf") (code-pdf-text "caramellottstone" "$S/https/arxiv.org/pdf/1103.3493.pdf") ;; (find-caramellottstonepage) ;; (find-caramellottstonetext) ;; (find-caramellottstonepage 2 "Contents") ;; (find-caramellottstonetext 2 "Contents") ;; «carter» (to ".carter") ;; (find-books "__cats/__cats.el" "carter") ;; https://link.springer.com/article/10.1007/s11229-007-9166-9 (code-pdf-page "cartermimpp" "~/books/__cats/carter__categories_for_the_working_mathematician_making_the_impossible_possible.pdf") (code-pdf-text "cartermimpp" "~/books/__cats/carter__categories_for_the_working_mathematician_making_the_impossible_possible.pdf" 1) ;; (find-cartermimpppage) ;; (find-cartermimpppage 1 "Contents") ;; (find-cartermimpppage (+ 1 189) "Index") ;; (find-cartermimpptext "") ;; «cassidy-hebert-kelly» (to ".cassidy-hebert-kelly") ;; (find-books "__cats/__cats.el" "cassidy-hebert-kelly") (code-pdf-page "reflsublocfs" "~/books/__cats/cassidy_hebert_kelly__reflective_subcategories_localizations_and_factorization_systems.pdf") (code-pdf-text "reflsublocfs" "~/books/__cats/cassidy_hebert_kelly__reflective_subcategories_localizations_and_factorization_systems.pdf" 1) ;; (find-reflsublocfspage) ;; (find-reflsublocfspage 1 "Contents") ;; (find-reflsublocfspage (+ 1 189) "Index") ;; (find-reflsublocfstext "") ;; «caterina» (to ".caterina") ;; (find-books "__cats/__cats.el" "caterina") ;; https://scholar.google.com/citations?user=P9rgCKcAAAAJ&hl=en ;; https://dblp.org/pid/98/8610.html ;; «caterina-gangle» (to ".caterina-gangle") ;; (find-books "__cats/__cats.el" "caterina-gangle") (code-pdf-page "iconicityandab" "~/books/__cats/caterina_gangle__iconicity_and_abduction.pdf") (code-pdf-text "iconicityandab" "~/books/__cats/caterina_gangle__iconicity_and_abduction.pdf" 13) ;; (find-iconicityandabpage) ;; (find-iconicityandabpage 6 "Contents") ;; (find-iconicityandabpage (+ 13 1) "Index") ;; (find-iconicityandabpage (+ 13 1) "1 Modeling Abductive Reasoning") ;; (find-iconicityandabpage (+ 13 1) "1.1 Introduction") ;; (find-iconicityandabpage (+ 13 2) "1.2 Framing the Problem") ;; (find-iconicityandabpage (+ 13 5) "1.3 Defining Abduction") ;; (find-iconicityandabpage (+ 13 6) "1.3.1 Early Characterizations") ;; (find-iconicityandabpage (+ 13 10) "1.3.2 Recent Studies") ;; (find-iconicityandabpage (+ 13 13) "1.4 Abduction and Context-Bound Reasoning") ;; (find-iconicityandabpage (+ 13 15) "1.5 The Problem of Formalization") ;; (find-iconicityandabpage (+ 13 18) "1.6 The Generic Shape of Abductive Reasoning.") ;; (find-iconicityandabpage (+ 13 21) "1.7 Mathematical Abduction in Science") ;; (find-iconicityandabpage (+ 13 23) "1.8 Conclusion") ;; (find-iconicityandabpage (+ 13 25) "References") ;; (find-iconicityandabpage (+ 12 27) "2 Iconicity in Peirce's Semiotics") ;; (find-iconicityandabpage (+ 12 27) "2.1 Introduction") ;; (find-iconicityandabpage (+ 12 28) "2.2 Peirce's Theory of Signs") ;; (find-iconicityandabpage (+ 12 28) "2.2.1 Peirce's General SOI Schema") ;; (find-iconicityandabpage (+ 12 30) "2.2.2 Three Trichotomies and Ten Classes of Signs.") ;; (find-iconicityandabpage (+ 12 33) "2.3 Analyzing Iconicity") ;; (find-iconicityandabpage (+ 12 34) "2.3.1 Iconicity as Quality") ;; (find-iconicityandabpage (+ 12 35) "2.3.2 Iconicity as Structure.") ;; (find-iconicityandabpage (+ 12 37) "2.3.3 Iconicity as Abductive Support") ;; (find-iconicityandabpage (+ 12 38) "2.4 Iconicity in Peirce's Theory of Dicisigns") ;; (find-iconicityandabpage (+ 12 41) "2.5 Representation and Hypostatic Abstraction") ;; (find-iconicityandabpage (+ 12 43) "2.5.1 Hypostatic Abstraction") ;; (find-iconicityandabpage (+ 12 46) "2.5.2 Iconicity and Axiomatics.") ;; (find-iconicityandabpage (+ 12 48) "2.6 Iconicity and Diagrammatic Abduction") ;; (find-iconicityandabpage (+ 12 49) "2.6.1 Introducing the Sheet of Indication") ;; (find-iconicityandabpage (+ 12 52) "2.6.2 Formal Definition of the Sheet of Indication") ;; (find-iconicityandabpage (+ 12 55) "2.7 Conclusion") ;; (find-iconicityandabpage (+ 12 56) "References") ;; (find-iconicityandabpage (+ 12 57) "3 Categorical Iconicity in Peirce's Existential Graphs") ;; (find-iconicityandabpage (+ 12 57) "3.1 Introduction") ;; (find-iconicityandabpage (+ 12 58) "3.2 Motivating Iconic Logic") ;; (find-iconicityandabpage (+ 12 60) "3.3 An Iconic Model of Propositional Logic") ;; (find-iconicityandabpage (+ 12 61) "3.3.1 The Sheet of Assertion") ;; (find-iconicityandabpage (+ 12 61) "3.3.2 The Graphical Syntax of EGfi") ;; (find-iconicityandabpage (+ 12 67) "3.4 EGfi Graphs as Sheets of Indication") ;; (find-iconicityandabpage (+ 12 72) "3.5 Logical Consequence in Peirce's Transformation Rules") ;; (find-iconicityandabpage (+ 12 76) "3.6 The Categorical Structure of EGfi") ;; (find-iconicityandabpage (+ 12 79) "3.6.1 Truth Values as Initial and Terminal Objects") ;; (find-iconicityandabpage (+ 12 81) "3.6.2 Logical Conjunction as Categorical Product") ;; (find-iconicityandabpage (+ 12 82) "3.6.3 Logical Disjunction as Categorical Coproduct") ;; (find-iconicityandabpage (+ 12 84) "3.6.4 Logical Implication as Categorical Exponentiation") ;; (find-iconicityandabpage (+ 12 86) "3.7 Abductive Reasoning in EGfi Via Categorical Adjunctions") ;; (find-iconicityandabpage (+ 12 91) "3.8 Conclusion") ;; (find-iconicityandabpage (+ 12 92) "References") ;; (find-iconicityandabpage (+ 12 93) "4 Ontology and Abduction in Badiou's Being and Event") ;; (find-iconicityandabpage (+ 12 93) "4.1 Introduction") ;; (find-iconicityandabpage (+ 12 95) "4.2 Abductive Reasoning in Badiou") ;; (find-iconicityandabpage (+ 12 96) "4.3 The Continuum Hypothesis") ;; (find-iconicityandabpage (+ 12 97) "4.4 The Generic Extension of Standard Models of ZF") ;; (find-iconicityandabpage (+ 12 97) "4.4.1 The Generic Set") ;; (find-iconicityandabpage (+ 12 101) "4.4.2 From M to M[G]") ;; (find-iconicityandabpage (+ 12 102) "4.4.3 Diagrammatic Recapitulation.") ;; (find-iconicityandabpage (+ 12 103) "4.5 Modeling the Forcing Relation in EG") ;; (find-iconicityandabpage (+ 12 103) "and Peirce's Existential Graphs") ;; (find-iconicityandabpage (+ 12 105) "of EG from EGfl") ;; (find-iconicityandabpage (+ 12 106) "4.5.3 Truth and the Mathematical Subject") ;; (find-iconicityandabpage (+ 12 107) "4.6 Mathematical Ontology, Realism and Naturalism") ;; (find-iconicityandabpage (+ 12 110) "4.7 Conclusion") ;; (find-iconicityandabpage (+ 12 110) "References") ;; (find-iconicityandabpage (+ 12 111) "5 Phenomenology and Iconicity in Badiou's Logics of Worlds") ;; (find-iconicityandabpage (+ 12 111) "5.1 Introduction") ;; (find-iconicityandabpage (+ 12 113) "5.2 Badiou's Transcendental") ;; (find-iconicityandabpage (+ 12 114) "5.2.1 T as a Heyting Algebra") ;; (find-iconicityandabpage (+ 12 116) "5.3 EGfi as a Concrete Model of the Transcendental") ;; (find-iconicityandabpage (+ 12 119) "5.4 Degrees of Identity and Appearing") ;; (find-iconicityandabpage (+ 12 119) "5.4.1 The Function Id") ;; (find-iconicityandabpage (+ 12 120) "5.5 Atoms") ;; (find-iconicityandabpage (+ 12 122) "5.5.1 The Postulate of Materialism and the Object") ;; (find-iconicityandabpage (+ 12 122) "5.5.2 Localization.") ;; (find-iconicityandabpage (+ 12 123) "5.5.3 Compatibiilty") ;; (find-iconicityandabpage (+ 12 124) "5.6 Worlds as Sheaves") ;; (find-iconicityandabpage (+ 12 125) "5.6.1 Presheaves Over a Topological Space") ;; (find-iconicityandabpage (+ 12 125) "5.6.2 From Presheaves to Sheaves") ;; (find-iconicityandabpage (+ 12 126) "5.6.3 Badiou's Synthetic Ontology.") ;; (find-iconicityandabpage (+ 12 127) "5.7 Points") ;; (find-iconicityandabpage (+ 12 128) "5.8 Transcendental Abduction.") ;; (find-iconicityandabpage (+ 12 130) "5.9 Conclusion") ;; (find-iconicityandabpage (+ 12 132) "References") ;; (find-iconicityandabpage (+ 12 133) "6 Abductive Realism in Topos Theory") ;; (find-iconicityandabpage (+ 12 133) "6.1 Introduction") ;; (find-iconicityandabpage (+ 12 135) "6.2 Topos Quantum Theory: Flori") ;; (find-iconicityandabpage (+ 12 136) "6.2.1 Naturalizing Abstraction: Cayley's Theorem") ;; (find-iconicityandabpage (+ 12 137) "6.2.2 Yoneda's Lemma and Embedding.") ;; (find-iconicityandabpage (+ 12 138) "6.2.3 Sieves") ;; (find-iconicityandabpage (+ 12 139) "6.2.4 The Presheaf in the Topos of Quantum Mechanics") ;; (find-iconicityandabpage (+ 12 139) "6.2.5 Truth Values in a Topos") ;; (find-iconicityandabpage (+ 12 140) "6.3 Topos Quantum Theory: Epperson and Zafiris") ;; (find-iconicityandabpage (+ 12 141) "6.3.1 Ontological Duality") ;; (find-iconicityandabpage (+ 12 143) "6.3.2 Points, Fibers, Germs") ;; (find-iconicityandabpage (+ 12 144) "6.4 Quantum Theory and Partition Logic: Ellerman") ;; (find-iconicityandabpage (+ 12 146) "6.4.1 Partition Logic") ;; (find-iconicityandabpage (+ 12 147) "6.4.2 Operations") ;; (find-iconicityandabpage (+ 12 148) "6.4.3 Partition Logic and Quantum Mechanics.") ;; (find-iconicityandabpage (+ 12 150) "6.5 Conclusion") ;; (find-iconicityandabpage (+ 12 151) "References") ;; (find-iconicityandabpage (+ 12 153) "Conclusion") ;; (find-iconicityandabpage (+ 12 155) "Appendix A: Category Theory: A Primer") ;; (find-iconicityandabpage (+ 12 171) "Appendix B: Topos Theory: A Primer") ;; (find-iconicityandabtext "") ;; «caterina-gangle-tohme» (to ".caterina-gangle-tohme") ;; (find-books "__cats/__cats.el" "caterina-gangle-tohme") (code-pdf-page "genericfigurespierce" "~/books/__cats/caterina_gangle_tohme__a_generic_figures_reconstruction_of_peirce_existential_graphs.pdf") (code-pdf-text "genericfigurespierce" "~/books/__cats/caterina_gangle_tohme__a_generic_figures_reconstruction_of_peirce_existential_graphs.pdf" 1) ;; (find-genericfigurespiercepage) ;; (find-genericfigurespiercetext "") ;; (find-genericfigurespiercepage 6 "De/Iterate") ;; (find-genericfigurespiercetext 6 "De/Iterate") ;; «cheng» (to ".cheng") ;; (find-angg ".emacs.papers" "cheng") ;; http://eugeniacheng.com/ ;; http://eugeniacheng.com/math/research/ ;; http://eugeniacheng.com/inclusivity/ ;; «cheng-cakes» (to ".cheng-cakes") ;; (find-books "__cats/__cats.el" "cheng-cakes") (code-pdf-page "chengcakes" "~/books/__cats/cheng__cakes_custard_and_category_theory.pdf") (code-pdf-text "chengcakes" "~/books/__cats/cheng__cakes_custard_and_category_theory.pdf" 1) ;; (find-chengcakespage) ;; (find-chengcakespage 1 "Contents") ;; (find-chengcakespage (+ 1 189) "Index") ;; (find-chengcakestext "") ;; «cheng-morally» (to ".cheng-morally") ;; (find-books "__cats/__cats.el" "cheng-morally") ;; (find-LATEX "catsem-u.bib" "bib-ChengMorally") ;; http://eugeniacheng.com/wp-content/uploads/2017/02/cheng-morality.pdf (code-pdf-page "chengmorally" "$S/http/eugeniacheng.com/wp-content/uploads/2017/02/cheng-morality.pdf") (code-pdf-text "chengmorally" "$S/http/eugeniacheng.com/wp-content/uploads/2017/02/cheng-morality.pdf") ;; (find-chengmorallypage) ;; (find-chengmorallytext) ;; "Distributive laws for Lawvere theories": ;; https://compositionality-journal.org/papers/compositionality-2-1/pdf (code-pdf-page "chengdllt" "$S/https/compositionality-journal.org/papers/compositionality-2-1/pdf") (code-pdf-text "chengdllt" "$S/https/compositionality-journal.org/papers/compositionality-2-1/pdf") ;; (find-chengdlltpage) ;; (find-chengdllttext) (code-pdf-page "chengabs" "~/books/__cats/cheng__the_joy_of_abstraction_an_exploration_of_math_category_theory_and_life.pdf") (code-pdf-text "chengabs" "~/books/__cats/cheng__the_joy_of_abstraction_an_exploration_of_math_category_theory_and_life.pdf" 1) ;; (find-chengabspage) ;; (find-chengabspage 1 "Contents") ;; (find-chengabspage (+ 1 189) "Index") ;; (find-chengabstext "") ;; (find-chengabspage 11 "Contents") ;; (find-chengabstext 11 "Contents") ;; «cheng-lauda» (to ".cheng-lauda") ;; (find-books "__cats/__cats.el" "cheng-lauda") ;; Cheng-Lauda: "Higher-Dimensional Categories: an illustrated guide book" (2004) ;; http://eugeniacheng.com/wp-content/uploads/2017/02/cheng-lauda-guidebook.pdf (code-pdf-page "chenglauda" "$S/http/eugeniacheng.com/wp-content/uploads/2017/02/cheng-lauda-guidebook.pdf") (code-pdf-text "chenglauda" "$S/http/eugeniacheng.com/wp-content/uploads/2017/02/cheng-lauda-guidebook.pdf") ;; (find-chenglaudapage) ;; (find-chenglaudatext) ;; (find-chenglaudapage (+ 10 5) "1.2.1 The Data-Structure-Properties (DSP) trichotomy") ;; (find-chenglaudatext (+ 10 5) "1.2.1 The Data-Structure-Properties (DSP) trichotomy") ;; «chrein» (to ".chrein") ;; (find-books "__cats/__cats.el" "chrein") ;; Noah Chrein: "Yoneda Ontologies" (2020) ;; https://nchrein.github.io/assets/docs/NYCT_talk_2020.pdf (code-pdf-page "chreinyo" "$S/https/nchrein.github.io/assets/docs/NYCT_talk_2020.pdf") (code-pdf-text "chreinyo" "$S/https/nchrein.github.io/assets/docs/NYCT_talk_2020.pdf") ;; (find-chreinyopage) ;; (find-chreinyotext) ;; ;; https://nchrein.github.io/ ;; https://nchrein.github.io/pages/Talks.html ;; https://nchrein.github.io/assets/docs/Olog_Talk_1.pdf ;; https://nchrein.github.io/assets/docs/Olog_talk_2__Official_.pdf ;; https://nchrein.github.io/assets/docs/Olog_Talk_3__Final_Version_.pdf ;; https://nchrein.github.io/assets/docs/NYCT_talk_2020.pdf ;; https://ct-octoberfest.github.io/ ;; https://ct-octoberfest.github.io/2019-slides/nchrein.pdf JHU ;; https://nchrein.github.io/assets/docs/NYCT_talk_2020.pdf ;; ;; Ellen Lehet: "The Explanatory Value of Category Theory" ;; https://ct-octoberfest.github.io/ ;; https://ct-octoberfest.github.io/2019-slides/elehet.pdf ;; ;; Todd Trimble: "An Elementary Approach to Elementary Topos Theory" ;; https://ct-octoberfest.github.io/2019-slides/ttrimble.pdf ;; «clarke» (to ".clarke") ;; https://bryceclarke.github.io/The_Double_Category_Of_Lenses_Phd_Thesis.pdf ;; (find-fline "$S/https/bryceclarke.github.io/") (code-pdf-page "clarkephd" "$S/https/bryceclarke.github.io/The_Double_Category_Of_Lenses_Phd_Thesis.pdf") (code-pdf-text "clarkephd" "$S/https/bryceclarke.github.io/The_Double_Category_Of_Lenses_Phd_Thesis.pdf") ;; (find-clarkephdpage) ;; (find-clarkephdtext) ;; «cockett» (to ".cockett") ;; "Cartesian differential categories" (slides, 2009) ;; https://pages.cpsc.ucalgary.ca/~robin/ ;; https://pages.cpsc.ucalgary.ca/~robin/talks/DiffCats.pdf (code-pdf-page "cockettdc2009" "$S/https/pages.cpsc.ucalgary.ca/~robin/talks/DiffCats.pdf") (code-pdf-text "cockettdc2009" "$S/https/pages.cpsc.ucalgary.ca/~robin/talks/DiffCats.pdf") ;; (find-cockettdc2009page) ;; (find-cockettdc2009text) ;; ;; "Seely categories revisited" (slides, 2006) ;; https://pages.cpsc.ucalgary.ca/~robin/talks/seely.pdf (code-pdf-page "cockettscatsr" "$S/https/pages.cpsc.ucalgary.ca/~robin/talks/seely.pdf") (code-pdf-text "cockettscatsr" "$S/https/pages.cpsc.ucalgary.ca/~robin/talks/seely.pdf") ;; (find-cockettscatsrpage) ;; (find-cockettscatsrtext) ;; «coecke» (to ".coecke") ;; (find-books "__cats/__cats.el" "coecke") ;; (find-LATEX "catsem-u.bib" "bib-CoeckePQP") ;; https://www.amazon.com/Picturing-Quantum-Processes-Diagrammatic-Reasoning/dp/110710422X ;; http://www.cs.ox.ac.uk/people/bob.coecke/Home.html ;; http://www.cs.ox.ac.uk/people/bob.coecke/ (code-pdf-page "coeckebook" "~/books/__cats/coecke_kissinger__picturing_quantum_processes.pdf") (code-pdf-text "coeckebook" "~/books/__cats/coecke_kissinger__picturing_quantum_processes.pdf" 1) ;; (find-coeckebookpage) ;; (find-coeckebookpage 5 "Contents") ;; (find-coeckebookpage 22 "Introduction") ;; (find-coeckebookpage 45 "Guide to reading") ;; (find-coeckebookpage (+ 1 189) "Index") ;; (find-coeckebooktext "") ;; https://www.cs.ox.ac.uk/ss2014/ ;; https://www.cs.ox.ac.uk/ss2014/programme/Bob.pdf ;; «coecke-newstrup» (to ".coecke-newstrup") ;; (find-books "__cats/__cats.el" "coecke-newstrup") ;; (find-books "__cats/__cats.el" "abramsky-tzevelekos") ;; (find-books "__cats/__cats.el" "selinger-surveygl") ;; (find-LATEX "catsem-u.bib" "bib-CoeckeNewStruP") (code-pdf-page "newstrup" "~/books/__cats/coecke__new_structures_for_physics.pdf") (code-pdf-text "newstrup" "~/books/__cats/coecke__new_structures_for_physics.pdf" 20) ;; (find-newstruppage) ;; (find-newstruptext "") ;; (find-newstruppage 14 "Contents") ;; (find-newstruptext 14 "Contents") ;; (find-newstruppage (+ 20 3) "S. Abramsky and N. Tzevelekos") ;; (find-newstruptext (+ 20 3) "S. Abramsky and N. Tzevelekos") ;; (find-newstruppage (+ 20 3) "1 Introduction to Categories and Categorical Logic") ;; (find-newstruppage (+ 20 95) "2 Physics, Topology, Logic and Computation: A Rosetta Stone") ;; (find-newstruppage (+ 20 173) "3 Categories for the Practising Physicist") ;; (find-newstruppage (+ 20 211) "two important symmetric monoidal structures") ;; (find-newstruptext (+ 20 211) "two important symmetric monoidal structures") ;; (find-newstruppage (+ 20 289) "4 A Survey of Graphical Languages for Monoidal Categories") ;; (find-newstruppage (+ 20 357) "5 Geometry of Interaction and the Dynamics of Proof Reduction.") ;; (find-newstruppage (+ 20 421) "6 Dagger Categories and Formal Distributions") ;; (find-newstruppage (+ 20 437) "7 Proof Nets as Formal Feynman Diagrams") ;; (find-newstruppage (+ 20 467) "8 Compact Monoidal Categories from Linguistics to Physics") ;; (find-newstruppage (+ 20 491) "9 Domain Theory and Measurement") ;; (find-newstruppage (+ 20 593) "10 A Partial Order on Classical and Quantum States") ;; (find-newstruppage (+ 20 687) "11 Domain Theory and General Relativity") ;; (find-newstruppage (+ 20 705) "12 Process, Distinction, Groupoids and Clifford Algebras") ;; (find-newstruppage (+ 20 753) "13 "What is a Thing?": Topos Theory in the Foundations of Physics") ;; (find-newstruppage (+ 20 757) "Kochen-Specker theorem") ;; (find-newstruptext (+ 20 757) "Kochen-Specker theorem") ;; (find-newstruppage (+ 20 941) "14 Can a Quantum Computer Run the von Neumann Architecture?") ;; (find-newstruppage (+ 20 983) "15 A Categorical Presentation of Quantum Computation with Anyons") ;; (find-newstruppage (+ 20 1027) "Index") ;; «coecke-genovese-marsden» (to ".coecke-genovese-marsden") ;; (find-books "__cats/__cats.el" "coecke-genovese-marsden") ;; Coecke, Genovese, Marsden, +2: "Uniqueness of Composition in Quantum Theory and Linguistics" (2018) ;; https://arxiv.org/abs/1803.00708 ;; https://arxiv.org/pdf/1803.00708.pdf (code-pdf-page "coeckegenoveseuc" "$S/https/arxiv.org/pdf/1803.00708.pdf") (code-pdf-text "coeckegenoveseuc" "$S/https/arxiv.org/pdf/1803.00708.pdf") ;; (find-coeckegenoveseucpage) ;; (find-coeckegenoveseuctext) ;; (find-coeckegenoveseucpage 2 "The use of the word property" "structure") ;; (find-coeckegenoveseuctext 2 "The use of the word property" "structure") ;; «coecke-gogioso-pinzani» (to ".coecke-gogioso-pinzani") ;; (find-books "__cats/__cats.el" "coecke-gogioso-pinzani") ;; Nicola Pinzani, Stefano Gogioso, Bob Coecke: "Categorical Semantics for Time Travel" ;; https://arxiv.org/abs/1902.00032 ;; https://arxiv.org/pdf/1902.00032.pdf ;; (find-fline "$S/https/arxiv.org/pdf/") (code-pdf-page "coeckecstt" "$S/https/arxiv.org/pdf/1902.00032.pdf") (code-pdf-text "coeckecstt" "$S/https/arxiv.org/pdf/1902.00032.pdf") ;; (find-coeckecsttpage) ;; (find-coeckecstttext) ;; «coecke-kgqm» (to ".coecke-kgqm") ;; Bob Coecke: "Kindergarten Quantum Mechanics" ;; https://arxiv.org/abs/0510032 ;; https://arxiv.org/pdf/quant-ph/0510032.pdf (code-pdf-page "coeckekgqm" "$S/https/arxiv.org/pdf/quant-ph/0510032.pdf") (code-pdf-text "coeckekgqm" "$S/https/arxiv.org/pdf/quant-ph/0510032.pdf") ;; (find-coeckekgqmpage) ;; (find-coeckekgqmtext) ;; «coecke-kgqmg» (to ".coecke-kgqmg") ;; Coecke/Horsman/Kissinger/Wang: "Kindergarden quantum mechanics graduates - ...or how I learned to stop gluing LEGO together and love the ZX-calculus" ;; https://arxiv.org/abs/2102.10984 ;; https://arxiv.org/pdf/2102.10984.pdf (code-pdf-page "coeckekgqmg" "$S/https/arxiv.org/pdf/2102.10984.pdf") (code-pdf-text "coeckekgqmg" "$S/https/arxiv.org/pdf/2102.10984.pdf") ;; (find-coeckekgqmgpage) ;; (find-coeckekgqmgtext) ;; «coniglio-miraglia» (to ".coniglio-miraglia") ;; (find-books "__cats/__cats.el" "coniglio-miraglia") ;; https://www.sciencedirect.com/journal/annals-of-pure-and-applied-logic/vol/108/issue/1 ;; https://reader.elsevier.com/reader/sd/pii/S0168007200000427 (code-pdf-page "conigliomiraglia" "~/books/__cats/coniglio_miraglia__modules_in_the_category_of_sheaves_over_quantales.pdf") (code-pdf-text "conigliomiraglia" "~/books/__cats/coniglio_miraglia__modules_in_the_category_of_sheaves_over_quantales.pdf" 1) ;; (find-conigliomiragliapage) ;; (find-conigliomiragliapage (+ -103 104) "Index") ;; (find-conigliomiragliatext "") ;; «coniglio-sernadas» (to ".coniglio-sernadas") ;; Coniglio/Sernadas: "A complete axiomatization of higher-order intuitionistic logic" ;; http://sqig.math.ist.utl.pt/pub/SernadasC/02-CS-hol.pdf (code-pdf-page "cahoil" "$S/http/sqig.math.ist.utl.pt/pub/SernadasC/02-CS-hol.pdf") (code-pdf-text "cahoil" "$S/http/sqig.math.ist.utl.pt/pub/SernadasC/02-CS-hol.pdf") ;; (find-cahoilpage) ;; (find-cahoiltext) ;; (find-cahoilpage 2 "1 Higher-Order Languages") ;; (find-cahoiltext 2 "1 Higher-Order Languages") ;; (find-cahoilpage 4 "2 Topos Semantics") ;; (find-cahoiltext 4 "2 Topos Semantics") ;; (find-cahoilpage 5 "3 Hilbert Calculi") ;; (find-cahoiltext 5 "3 Hilbert Calculi") ;; (find-cahoilpage 8 "4 Local Set Theories") ;; (find-cahoiltext 8 "4 Local Set Theories") ;; (find-cahoilpage 10 "5 Hilbert-style axiomatization of Higher-order logic") ;; (find-cahoiltext 10 "5 Hilbert-style axiomatization of Higher-order logic") ;; (find-cahoilpage 17 "6 Extending the language") ;; (find-cahoiltext 17 "6 Extending the language") ;; https://www.semanticscholar.org/paper/A-Hilbert-style-axiomatization-of-higher-order-Coniglio-Sernadas/cd2365cbefd08105f17f81ae749a47333d8429f7 ;; https://www.semanticscholar.org/paper/Fibring-Logics-with-Topos-Semantics-Coniglio-Sernadas/510c3f19ef94a9443e37f97cf6cfd2544f746a8d ;; «corry» (to ".corry") ;; (find-books "__cats/__cats.el" "corry") (code-pdf-page "corry" "~/books/__cats/corry__modern_algebra_and_the_rise_of_mathematical_structures.pdf") (code-pdf-text "corry" "~/books/__cats/corry__modern_algebra_and_the_rise_of_mathematical_structures.pdf" 13) ;; (find-corrypage) ;; (find-corrypage 11 "Contents") ;; (find-corrypage (+ 13 1) "Introduction") ;; (find-corrypage (+ 12 253) "Part Two: Structures in the Body of Mathematics") ;; (find-corrypage (+ 12 259) "Chapter 6 Oystein are: Algebraic Structures") ;; (find-corrypage (+ 12 261) "6.1 Decomposition Theorems and Algebraic Structures") ;; (find-corrypage (+ 12 263) "6.2 Non-Commutative Polynomials and Algebraic Structure") ;; (find-corrypage (+ 12 267) "6.3 Structures and Lattices") ;; (find-corrypage (+ 12 275) "6.4 Structures in Action") ;; (find-corrypage (+ 12 279) "6.5 Universal Algebra, Model Theory, Boolean Algebras") ;; (find-corrypage (+ 12 286) "6.6 Ore's Structures and the Structural Image of Algebra") ;; (find-corrypage (+ 12 289) "Chapter 7 Nicolas Bourbaki: Theory of Structures") ;; (find-corrypage (+ 12 291) "7.1 The Myth") ;; (find-corrypage (+ 12 301) "7.2 Structures and Mathematics") ;; (find-corrypage (+ 12 311) "7.3 Structures and the Body of Mathematics") ;; (find-corrypage (+ 12 312) "7.3.1 Set Theory") ;; (find-corrypage (+ 12 322) "7.3.2 Algebra") ;; (find-corrypage (+ 12 325) "7.3.3 General Topology") ;; (find-corrypage (+ 12 327) "7.3.4 Commutative Algebra") ;; (find-corrypage (+ 12 329) "7.4 Structures and the Structural Image of Mathematics") ;; (find-corrypage (+ 12 339) "Chapter 8 Category Theory: Early Stages") ;; (find-corrypage (+ 12 340) "8.1 Category Theory: Basic Concepts") ;; (find-corrypage (+ 12 344) "8.2 Category Theory: A Theory of Structures") ;; (find-corrypage (+ 12 351) "8.3 Category Theory: Early Works") ;; (find-corrypage (+ 12 364) "8.4 Category Theory: Some Contributions") ;; (find-corrypage (+ 12 372) "8.5 Category Theory and Bourbaki") ;; (find-corrypage (+ 12 380) "Chapter 9 Categories and Images of Mathematics") ;; (find-corrypage (+ 12 380) "9.1 Categories and the Structural Image of Mathematics") ;; (find-corrypage (+ 12 386) "9.2 Categories and the Essence of Mathematics") ;; (find-corrypage (+ 12 395) "9.3 What is Algebra and what has it been in History?") ;; (find-corrypage (+ 12 399) "Bibliography") ;; (find-corrypage (+ 11 433) "Author Index") ;; (find-corrypage (+ 11 441) "Subject Index") ;; (find-corrytext "") ;; «coya» (to ".coya") ;; (find-books "__cats/__cats.el" "coya") ;; https://arxiv.org/abs/1805.08290 ;; https://arxiv.org/pdf/1805.08290.pdf ;; "Circuits, Bond Graphs, and Signal-Flow Diagrams: A Categorical Perspective" (PhD thesis) (code-pdf-page "coya" "$S/https/arxiv.org/pdf/1805.08290.pdf") (code-pdf-text "coya" "$S/https/arxiv.org/pdf/1805.08290.pdf") ;; (find-coyapage) ;; (find-coyatext) ;; (find-coyapage 8 "naturally inclined to draw diagrams") ;; (find-coyatext 8 "naturally inclined to draw diagrams") ;; «crolard» (to ".crolard") ;; (find-books "__cats/__cats.el" "crolard") ;; Tristan Crolard: "Subtractive Logic" ;; https://cedric.cnam.fr/sys/crolard/publications/index.html ;; https://cedric.cnam.fr/sys/crolard/publications/tcs.pdf (code-pdf-page "crolardsublo" "$S/https/cedric.cnam.fr/sys/crolard/publications/tcs.pdf") (code-pdf-text "crolardsublo" "$S/https/cedric.cnam.fr/sys/crolard/publications/tcs.pdf") ;; (find-crolardsublopage) ;; (find-crolardsublotext) ;; «crole» (to ".crole") ;; (find-books "__cats/__cats.el" "crole") (code-pdf "catsfortypes" "~/books/__cats/crole__categories_for_types.pdf") (code-pdftotext "catsfortypes" "~/books/__cats/crole__categories_for_types.pdf" 14) ;; (find-catsfortypespage) ;; (find-catsfortypespage 8 "Contents") ;; (find-catsfortypespage 11 "Preface") ;; (find-catsfortypespage 15 "Advice for the reader") ;; (find-catsfortypespage (+ 19 1) "1. Order, Lattices, and Domains") ;; (find-catsfortypespage (+ 19 61) "2.7. The Yoneda lemma") ;; (find-catsfortypespage (+ 19 67) "2.8. Cartesian Closed Categories") ;; (find-catsfortypespage (+ 19 73) "2.9. ") ;; (find-catsfortypespage (+ 19 77) "2.10. Adjunctions") ;; (find-catsfortypespage (+ 19 320) "Index") ;; (find-catsfortypestext "") ;; «crosilla» (to ".crosilla") ;; http://gigapedia.com/items/59403/from-sets-and-types-to-topology-and-analysis--towards-practicable-foundations-for-constructive-mathematics--oxford-logic-guides- (code-xpdf "fromsetsandtypes" "~/books/__cats/crosilla_schuster_eds__from_sets_and_types_to_topology_and_analysis.pdf") (code-pdftotext "fromsetsandtypes" "~/books/__cats/crosilla_schuster_eds__from_sets_and_types_to_topology_and_analysis.pdf") ;; (find-fromsetsandtypespage 12 "Contents") ;; (find-fromsetsandtypespage (+ 21 335) "Index") ;; (find-fromsetsandtypestext) ;; «dana-scott» (to ".dana-scott") ;; (find-books "__cats/__cats.el" "dana-scott") ;; (to "fourman-scott") ;; https://github.com/CMU-HoTT/scott ;; «depaiva» (to ".depaiva") ;; (find-books "__cats/__cats.el" "depaiva") ;; (find-LATEX "2020dialectica.tex") ;; http://vcvpaiva.github.io/ ;; https://www.cl.cam.ac.uk/techreports/UCAM-CL-TR-213.pdf The Dialectica categories (PhD Thesis) (code-pdf-page "depaivaphd" "$S/https/www.cl.cam.ac.uk/techreports/UCAM-CL-TR-213.pdf") (code-pdf-text "depaivaphd" "$S/https/www.cl.cam.ac.uk/techreports/UCAM-CL-TR-213.pdf" 1) ;; (find-depaivaphdpage) ;; (find-depaivaphdpage 3 "Contents") ;; (find-depaivaphdpage (+ 6 1) "Introduction") ;; (find-depaivaphdpage (+ 6 3) "1. The Dialectica Categories DC") ;; (find-depaivaphdpage (+ 6 18) "1.5. Intuitionistic Linear Logic and DC") ;; (find-depaivaphdpage (+ 6 21) "2. The linear connective `!' in DC") ;; (find-depaivaphdpage (+ 6 41) "3. The categories GC") ;; (find-depaivaphdpage (+ 6 62) "4. Modalities in GC") ;; (find-depaivaphdpage (+ 6 81) "Bibliography") ;; (find-depaivaphdtext "") ;; ;; de Paiva/Rodin: "Elements of Categorical Logic: Fifty Years Later" ;; https://link.springer.com/article/10.1007/s11787-013-0086-9 ;; https://link.springer.com/content/pdf/10.1007%2Fs11787-013-0086-9.pdf ;; (find-fline "$S/https/link.springer.com/content/pdf/") (code-pdf-page "elementsofcatlogic" "$S/https/link.springer.com/content/pdf/10.1007%2Fs11787-013-0086-9.pdf") (code-pdf-text "elementsofcatlogic" "$S/https/link.springer.com/content/pdf/10.1007%2Fs11787-013-0086-9.pdf") ;; (find-elementsofcatlogicpage) ;; (find-elementsofcatlogictext) ;; de Paiva: "Categorical Multirelations, Linear Logic, and Petri Nets" (draft, 1991): ;; https://www.cl.cam.ac.uk/techreports/UCAM-CL-TR-225.pdf ;; «detoffoli» (to ".detoffoli") ;; https://philarchive.org/archive/DETCTDv1 ;; http://www.silviadetoffoli.net/research/ ;; Silvia de Toffoli: `Chasing' the Diagram - The Use of Visualizations in Algebraic Reasoning ;; (find-fline "$S/https/philarchive.org/archive/") (code-pdf-page "detoffolicd" "$S/https/philarchive.org/archive/DETCTDv1") (code-pdf-text "detoffolicd" "$S/https/philarchive.org/archive/DETCTDv1" -157) ;; (find-detoffolicdpage) ;; (find-detoffolicdtext) ;; (find-detoffolicdpage (+ -157 169) "3.1. Commutative diagrams.") ;; (find-detoffolicdtext (+ -157 169) "3.1. Commutative diagrams.") ;; «diaconescu» (to ".diaconescu") ;; (find-books "__cats/__cats.el" "diaconescu") ;; http://www.imar.ro/~diacon/ ;; https://rdiaconescu.weebly.com/ ;; https://www.researchgate.net/profile/Rzvan_Diaconescu ;; https://rdiaconescu.weebly.com/uploads/1/0/8/6/108663361/cv.pdf (code-pdf-page "diaconescu" "~/books/__cats/diaconescu__institution-independent_model_theory.pdf") (code-pdf-text "diaconescu" "~/books/__cats/diaconescu__institution-independent_model_theory.pdf" 11) ;; (find-diaconescupage) ;; (find-diaconescutext) ;; (find-diaconescupage 9 "Contents") ;; (find-diaconescupage (+ 11 1) "1 Introduction") ;; (find-diaconescupage (+ 11 7) "2 Categories") ;; (find-diaconescupage (+ 11 7) "2.1 Basic Concepts") ;; (find-diaconescupage (+ 11 11) "2.2 Limits and Co-limits") ;; (find-diaconescupage (+ 11 16) "2.3 Adjunctions") ;; (find-diaconescupage (+ 11 18) "2.4 2-categories") ;; (find-diaconescupage (+ 11 20) "2.5 Indexed Categories and Fibrations") ;; (find-diaconescutext (+ 11 20) "2.5 Indexed Categories and Fibrations") ;; (find-diaconescupage (+ 10 23) "3 Institutions") ;; (find-diaconescupage (+ 10 23) "3.1 From concrete logic to Institutions") ;; (find-diaconescupage (+ 10 28) "3.2 Examples of institutions") ;; (find-diaconescupage (+ 10 38) "3.3 Morphisms and Comorphisms") ;; (find-diaconescupage (+ 10 45) "3.4 Institutions as Functors") ;; (find-diaconescupage (+ 9 49) "4 Theories and Models") ;; (find-diaconescupage (+ 9 50) "4.1 Theories and Presentations") ;; (find-diaconescupage (+ 9 57) "4.2 Theory (co-)limits") ;; (find-diaconescupage (+ 9 60) "4.3 Model Amalgamation") ;; (find-diaconescupage (+ 9 65) "4.4 The method of Diagrams") ;; (find-diaconescupage (+ 9 74) "4.5 Inclusion Systems") ;; (find-diaconescupage (+ 9 82) "4.6 Free Models") ;; (find-diaconescupage (+ 8 91) "5 Internal Logic") ;; (find-diaconescupage (+ 8 92) "5.1 Logical Connectives") ;; (find-diaconescupage (+ 8 94) "5.2 Quantifiers") ;; (find-diaconescupage (+ 8 97) "5.3 Substitutions") ;; (find-diaconescupage (+ 8 102) "5.4 Representable Signature Morphisms") ;; (find-diaconescupage (+ 8 107) "5.5 Satisfaction by Injectivity") ;; (find-diaconescupage (+ 8 114) "5.6 Elementary Homomorphisms") ;; (find-diaconescupage (+ 7 121) "6 Model Ultraproducts") ;; (find-diaconescupage (+ 7 121) "6.1 Filtered Products") ;; (find-diaconescupage (+ 7 124) "6.2 Fundamental Theorem") ;; (find-diaconescupage (+ 7 132) "6.3 Los Institutions") ;; (find-diaconescupage (+ 7 134) "6.4 Compactness") ;; (find-diaconescupage (+ 7 137) "6.5 Finitely Sized Models") ;; (find-diaconescupage (+ 7 141) "7 Saturated Models") ;; (find-diaconescupage (+ 7 141) "7.1 Elementary Co-limits") ;; (find-diaconescupage (+ 7 144) "7.2 Existence of Saturated Models") ;; (find-diaconescupage (+ 7 152) "7.3 Uniqueness of Saturated Models") ;; (find-diaconescupage (+ 7 157) "7.4 Saturated Ultraproducts") ;; (find-diaconescupage (+ 6 163) "8 Preservation and Axiomatizability") ;; (find-diaconescupage (+ 6 163) "8.1 Preservation by Saturation") ;; (find-diaconescupage (+ 6 168) "8.2 Axiomatizability by Ultraproducts") ;; (find-diaconescupage (+ 6 170) "8.3 Quasi-varieties and Initial Models") ;; (find-diaconescupage (+ 6 174) "8.4 Quasi-Variety Theorem") ;; (find-diaconescupage (+ 6 178) "8.5 Birkhoff Variety Theorem") ;; (find-diaconescupage (+ 6 181) "8.6 General Birkhoff Axiomatizability") ;; (find-diaconescupage (+ 6 189) "9 Interpolation") ;; (find-diaconescupage (+ 6 192) "9.1 Semantic interpolation") ;; (find-diaconescupage (+ 6 197) "9.2 Interpolation by Axiomatizability") ;; (find-diaconescupage (+ 6 204) "9.3 Interpolation by Consistency") ;; (find-diaconescupage (+ 6 211) "9.4 Craig-Robinson Interpolation") ;; (find-diaconescupage (+ 6 215) "9.5 Borrowing Interpolation") ;; (find-diaconescupage (+ 5 223) "10 Definability") ;; (find-diaconescupage (+ 5 226) "10.1 Explicit implies implicit definability") ;; (find-diaconescupage (+ 5 228) "10.2 Definability by Interpolation") ;; (find-diaconescupage (+ 5 230) "10.3 Definability by Axiomatizability") ;; (find-diaconescupage (+ 4 235) "11 Possible Worlds") ;; (find-diaconescupage (+ 4 236) "11.1 Internal Modal Logic") ;; (find-diaconescupage (+ 4 242) "11.2 Ultraproducts of Kripke models") ;; (find-diaconescupage (+ 3 253) "12 Grothendieck Institutions") ;; (find-diaconescupage (+ 3 254) "12.1 Fibred and Grothendieck Institutions") ;; (find-diaconescupage (+ 3 260) "12.2 Theory Co-limits and Model Amalgamation") ;; (find-diaconescupage (+ 3 267) "12.3 Interpolation") ;; (find-diaconescupage (+ 2 275) "13 Institutions with Proofs") ;; (find-diaconescupage (+ 2 278) "13.1 Free Proof Systems") ;; (find-diaconescupage (+ 2 284) "13.2 Compactness") ;; (find-diaconescupage (+ 2 288) "13.3 Proof-theoretic Internal Logic") ;; (find-diaconescupage (+ 2 297) "13.4 The Entailment Institution") ;; (find-diaconescupage (+ 2 302) "13.5 Birkhoff Completeness") ;; (find-diaconescupage (+ 2 317) "14 Specification") ;; (find-diaconescupage (+ 2 318) "14.1 Structured Specifications") ;; (find-diaconescupage (+ 2 327) "14.2 Specifications with Proofs") ;; (find-diaconescupage (+ 2 331) "14.3 Predefined Types") ;; (find-diaconescupage (+ 1 337) "15 Logic Programming") ;; (find-diaconescupage (+ 1 338) "15.1 Herbrand Theorems") ;; (find-diaconescupage (+ 1 340) "15.2 Unification") ;; (find-diaconescupage (+ 1 344) "15.3 Modularization") ;; (find-diaconescupage (+ 1 346) "15.4 Constraints") ;; (find-diaconescupage (+ 1 351) "A Table of Notation") ;; (find-diaconescupage (+ 1 355) "Bibliography") ;; (find-diaconescupage (+ 1 368) "Index") ;; (find-diaconescutext (+ 1 368) "Index") ;; «diaconescu-qvis» (to ".diaconescu-qvis") ;; Diaconescu: "Quasi-varieties and initial semantics for hybridized institutions" ;; Journal of Logic and Computation, 26(3):855­891, 2016. (code-pdf-page "diaconescuqvis" "~/books/__cats/diaconescu__quasi-varieties_and_initial_semantics_for_hybridized_institutions.pdf") (code-pdf-text "diaconescuqvis" "~/books/__cats/diaconescu__quasi-varieties_and_initial_semantics_for_hybridized_institutions.pdf" 1) ;; (find-diaconescuqvispage) ;; (find-diaconescuqvispage (+ 1 1) "1. Introduction") ;; (find-diaconescuqvistext (+ 1 1) "1. Introduction") ;; (find-diaconescuqvispage (+ 1 6) "Definition 2.5 (Quantification space)") ;; (find-diaconescuqvistext (+ 1 6) "Definition 2.5 (Quantification space)") ;; (find-diaconescuqvispage (+ 1 189) "Index") ;; (find-diaconescuqvistext "") ;; «dieudonne» (to ".dieudonne") ;; (find-books "__cats/__cats.el" "dieudonne") ;; Jean Dieudonné: "The Historical Development of Algebraic Geometry" ;; https://arxiv.org/abs/1803.00163 ;; https://arxiv.org/pdf/1803.00163.pdf (code-pdf-page "dieudonnehdapt" "$S/https/arxiv.org/pdf/1803.00163.pdf") (code-pdf-text "dieudonnehdapt" "$S/https/arxiv.org/pdf/1803.00163.pdf") (code-pdf-page "dieudonnehdap" "~/books/__cats/dieudonne__the_historical_development_of_algebraic_geometry.pdf") (code-pdf-text "dieudonnehdap" "~/books/__cats/dieudonne__the_historical_development_of_algebraic_geometry.pdf" 1) ;; (find-dieudonnehdaptpage) ;; (find-dieudonnehdapttext) ;; (find-dieudonnehdappage) ;; (find-dieudonnehdaptext "") ;; «dosen» (to ".dosen") ;; http://www.mi.sanu.ac.yu/~kosta/publications.htm ;; http://gigapedia.org/items/133482/cut-elimination-in-categories--trends-in-logic- ;; http://gigapedia.org/items/102883/proof-theoretical-coherence--studies-in-logic--logic--amp--cognitive-systems-- ;; http://gigapedia.com/items/102885/proof-net-categories ;; http://article.gmane.org/gmane.science.mathematics.categories/5203 (code-ps "dosenceic" "~/books/__cats/dosen__cut_elimination_in_categories.pdf") (code-xpdf "dosenceic" "~/books/__cats/dosen__cut_elimination_in_categories.pdf") (code-pdftotext "dosenceic" "~/books/__cats/dosen__cut_elimination_in_categories.pdf") (code-ps "dosenptc" "~/books/__cats/dosen_petric__proof-theoretical_coherence.pdf") (code-xpdf "dosenptc" "~/books/__cats/dosen_petric__proof-theoretical_coherence.pdf") (code-pdftotext "dosenptc" "~/books/__cats/dosen_petric__proof-theoretical_coherence.pdf") (code-xpdf "proofnetcats" "~/books/__cats/dosen_petric__proof-net_categories.pdf") (code-pdftotext "proofnetcats" "~/books/__cats/dosen_petric__proof-net_categories.pdf") ;; (find-dosenceicpage 1) ;; (find-dosenceicpage 102 "Chapter 4" "Adjunctions") ;; (find-dosenceicpage 152 "4.7. Rectangular \\ adjunctions") ;; (find-dosenceictext) ;; (find-dosenptcpage 1) ;; (find-dosenptctext) ;; (find-proofnetcatspage 5 "Contents") ;; (find-proofnetcatspage (+ 6 132) "Index") ;; (find-proofnetcatstext) ;; Dosen/Petric: "The Maximality of Cartesian Categories" (1999) ;; https://arxiv.org/pdf/math/9911059.pdf (code-pdf-page "maxcc" "$S/https/arxiv.org/pdf/math/9911059.pdf") (code-pdf-text "maxcc" "$S/https/arxiv.org/pdf/math/9911059.pdf") ;; (find-maxccpage) ;; (find-maxcctext) ;; https://arxiv.org/abs/math/9911073 ;; https://arxiv.org/pdf/math/9911073.pdf ;; Dosen/Petric: "The Maximality of the Typed Lambda Calculus and of Cartesian Closed Categories" ;; (find-fline "$S/https/arxiv.org/pdf/math/") (code-pdf-page "maxtlcccc" "$S/https/arxiv.org/pdf/math/9911073.pdf") (code-pdf-text "maxtlcccc" "$S/https/arxiv.org/pdf/math/9911073.pdf") ;; (find-maxtlccccpage) ;; (find-maxtlcccctext) ;; «dubuc-kelly» (to ".dubuc-kelly") ;; (find-books "__cats/__cats.el" "dubuc-kelly") ;; Dubuc/Kelly: "A Presentation of Topoi as Algebraic Relative to Categories or Graphs" (1983) ;; https://core.ac.uk/download/pdf/82757533.pdf (code-pdf-page "dubuckellytarcg" "~/books/__cats/dubuc_kelly__a_presentation_of_topoi_as_algebraic_relative_to_categories_or_graphs.pdf") (code-pdf-text "dubuckellytarcg" "~/books/__cats/dubuc_kelly__a_presentation_of_topoi_as_algebraic_relative_to_categories_or_graphs.pdf" 1) ;; (find-dubuckellytarcgpage) ;; (find-dubuckellytarcgpage (+ -419 420) "Index") ;; (find-dubuckellytarcgtext "") ;; «duval» (to ".duval") ;; (find-books "__cats/__cats.el" "duval") ;; https://link.springer.com/journal/11787/7/3/page/1 (code-pdf-page "duvaldar" "~/books/__cats/duval__deduction_as_reduction.pdf") (code-pdf-text "duvaldar" "~/books/__cats/duval__deduction_as_reduction.pdf" 1) ;; (find-duvaldarpage) ;; (find-duvaldarpage 1 "Contents") ;; (find-duvaldarpage (+ 1 189) "Index") ;; (find-duvaldartext "") ;; "Diagrammatic Inference" (2009): ;; https://arxiv.org/abs/0710.1208 ;; https://arxiv.org/pdf/0710.1208.pdf (code-pdf-page "duvaldiaginf" "$S/https/arxiv.org/pdf/0710.1208.pdf") (code-pdf-text "duvaldiaginf" "$S/https/arxiv.org/pdf/0710.1208.pdf") ;; (find-duvaldiaginfpage) ;; (find-duvaldiaginftext) ;; Logical Rules as Fractions and Logics as Sketches (2020): ;; https://link.springer.com/article/10.1007/s11787-020-00259-w ;; https://doi.org/10.1007/s11787-020-00259-w ;; «dyson» (to ".dyson") ;; (find-books "__cats/__cats.el" "dyson") ;; "Birds and Frogs" ;; https://www.ams.org/notices/200902/rtx090200212p.pdf (code-pdf-page "dysonbirdandfrogs" "$S/https/www.ams.org/notices/200902/rtx090200212p.pdf") (code-pdf-text "dysonbirdandfrogs" "$S/https/www.ams.org/notices/200902/rtx090200212p.pdf") ;; (find-dysonbirdandfrogspage) ;; (find-dysonbirdandfrogstext) ;; «eberhart-hirschowitz» (to ".eberhart-hirschowitz") ;; (find-books "__cats/__cats.el" "eberhart-hirschowitz") ;; Eberhart/Hirschowitz: "Justified Sequences in String Diagrams: a Comparison Between Two Approaches to Concurrent Game Semantics" ;; https://hal.archives-ouvertes.fr/hal-01715405 ;; https://hal.archives-ouvertes.fr/hal-01715405/document (code-pdf-page "justifseqs" "~/books/__cats/eberhart_hirschowitz__justified_sequences_in_string_diagrams.pdf") (code-pdf-text "justifseqs" "~/books/__cats/eberhart_hirschowitz__justified_sequences_in_string_diagrams.pdf" 1) ;; (find-justifseqspage) ;; (find-justifseqspage 1 "Contents") ;; (find-justifseqspage (+ 1 189) "Index") ;; (find-justifseqstext "") ;; «eilenberg» (to ".eilenberg") ;; (find-books "__cats/__cats.el" "eilenberg") (code-pdf-page "eilenbergautlama" "~/books/__cats/eilenberg__automata_languages_and_machines_part_a.pdf") (code-pdf-text "eilenbergautlama" "~/books/__cats/eilenberg__automata_languages_and_machines_part_a.pdf" 1) ;; (find-eilenbergautlamapage) ;; (find-eilenbergautlamapage 1 "Contents") ;; (find-eilenbergautlamapage (+ 1 189) "Index") ;; (find-eilenbergautlamatext "") ;; (find-books "__cats/__cats.el" "eilenberg") (code-pdf-page "eilenbergautlamb" "~/books/__cats/eilenberg__automata_languages_and_machines_part_b.pdf") (code-pdf-text "eilenbergautlamb" "~/books/__cats/eilenberg__automata_languages_and_machines_part_b.pdf" 15) ;; (find-eilenbergautlambpage) ;; (find-eilenbergautlambpage 6 "Contents") ;; (find-eilenbergautlambpage (+ 15 39) "Krohn-Rhodes") ;; (find-eilenbergautlambtext "") ;; «eilenberg-maclane» (to ".eilenberg-maclane") ;; (find-books "__cats/__cats.el" "eilenberg-maclane") ;; General Theory of Natural Equivalences ;; Samuel Eilenberg and Saunders MacLane ;; Transactions of the American Mathematical Society, Vol. 58, No. 2 (Sep., 1945), pp. 231-294 (code-pdf-page "gtone" "~/books/__cats/eilenberg_maclane__GToNe.pdf") (code-pdf-text "gtone" "~/books/__cats/eilenberg_maclane__GToNe.pdf" 230) ;; (find-gtonepage) ;; (find-gtonepage 1 "Contents") ;; (find-gtonepage (+ -229 231) "Contents") ;; (find-gtonetext "") ;; «eilenberg-moore» (to ".eilenberg-moore") ;; (find-books "__cats/__cats.el" "eilenberg-moore") ;; https://projecteuclid.org/euclid.ijm/1256068141 ;; https://ncatlab.org/nlab/show/Eilenberg-Moore+category#Linton69 (code-pdf-page "eilenbergmoore" "~/books/__cats/eilenberg_moore__adjoint_functors_and_triples.pdf") (code-pdf-text "eilenbergmoore" "~/books/__cats/eilenberg_moore__adjoint_functors_and_triples.pdf" -380) ;; (find-eilenbergmoorepage) ;; (find-eilenbergmoorepage (+ -380 381) "") ;; (find-eilenbergmoorepage (+ -380 382) "1. Review of adjoint functors") ;; (find-eilenbergmooretext (+ -380 382) "1. Review of adjoint functors") ;; (find-eilenbergmoorepage (+ -380 383) "2. Triples") ;; (find-eilenbergmooretext (+ -380 383) "2. Triples") ;; (find-eilenbergmooretext "") ;; «eilenberg-steenrod» (to ".eilenberg-steenrod") ;; (find-books "__cats/__cats.el" "eilenberg-steenrod") ;; (find-books "__cats/__cats.el" "riehl") ;; (find-riehlccpage (+ 18 36) "1.6. The art of the diagram chase") (code-pdf-page "eilenbergsteenrod" "~/books/__cats/eilenberg_steenrod__foundations_of_algebraic_topology.pdf") (code-pdf-text "eilenbergsteenrod" "~/books/__cats/eilenberg_steenrod__foundations_of_algebraic_topology.pdf") ;; (find-eilenbergsteenrodpage) ;; (find-eilenbergsteenrodtext) ;; (find-eilenbergsteenrodpage 9 "The diagrams incorporate") ;; (find-eilenbergsteenrodpage 13 "Contents") ;; (find-eilenbergsteenrodpage (+ 14 325) "Index") ;; (find-eilenbergsteenrodtext "") ;; «elliott» (to ".elliott") ;; Conal Elliott: "The simple essence of automatic differentiation" ;; http://conal.net/papers/essence-of-ad/ ;; https://arxiv.org/abs/1804.00746 ;; http://conal.net/papers/compiling-to-categories/ ;; http://conal.net/talks/compiling-to-categories.pdf (code-pdf-page "elliottctc" "$S/http/conal.net/talks/compiling-to-categories.pdf") (code-pdf-text "elliottctc" "$S/http/conal.net/talks/compiling-to-categories.pdf") ;; (find-elliottctcpage) ;; (find-elliottctctext) ;; «erbele» (to ".erbele") ;; "Categories in Control: Applied PROPs" (PhD thesis) ;; https://johncarlosbaez.wordpress.com/2015/04/23/categories-in-control-2/ ;; https://arxiv.org/abs/1611.07591 ;; https://arxiv.org/pdf/1611.07591.pdf (code-pdf-page "erbele" "$S/https/arxiv.org/pdf/1611.07591.pdf") (code-pdf-text "erbele" "$S/https/arxiv.org/pdf/1611.07591.pdf") ;; (find-erbelepage) ;; (find-erbeletext) ;; «erne-gehrke-pultr» (to ".erne-gehrke-pultr") ;; (find-books "__cats/__cats.el" "erne-gehrke-pultr") ;; Erné/Gehrke/Pultr: "Complete Congruences on Topologies and Down-Set Lattices" ;; https://link.springer.com/article/10.1007/s10485-006-9054-3 (code-pdf-page "completecongs" "~/books/__cats/erne_gehrke_pultr__complete_congruences_on_topologies_and_down-set_lattices.pdf") (code-pdf-text "completecongs" "~/books/__cats/erne_gehrke_pultr__complete_congruences_on_topologies_and_down-set_lattices.pdf" -162) ;; (find-completecongspage) ;; (find-completecongstext "") ;; (find-completecongspage (+ -162 164) "1 Introduction: The Role of Down-set Lattices in Dualities") ;; (find-completecongstext (+ -162 164) "1 Introduction: The Role of Down-set Lattices in Dualities") ;; (find-completecongspage (+ -162 181) "Theorem 4.12") ;; (find-completecongstext (+ -162 181) "Theorem 4.12") ;; «fausk-hu-may» (to ".fausk-hu-may") ;; (find-books "__cats/__cats.el" "fausk-hu-may") ;; Fausk/Hu/May: "Isomorphisms Between Left and Right Adjoints" ;; http://www.tac.mta.ca/tac/volumes/11/4/11-04.pdf ;; (find-fline "$S/http/www.tac.mta.ca/tac/volumes/11/4/") (code-pdf-page "fauskhumay" "$S/http/www.tac.mta.ca/tac/volumes/11/4/11-04.pdf") (code-pdf-text "fauskhumay" "$S/http/www.tac.mta.ca/tac/volumes/11/4/11-04.pdf") ;; (find-fauskhumaypage) ;; (find-fauskhumaytext) ;; «fiore» (to ".fiore") ;; (find-books "__cats/__cats.el" "fiore") ;; https://www.cl.cam.ac.uk/~mpf23/ ;; https://www.cl.cam.ac.uk/teaching/1516/L29/ <- recommends some papers by Moggi ;; https://www.cl.cam.ac.uk/~mpf23/papers/Types/AbsSyn.pdf ;; Marcelo Fiore: "Second-Order and Dependently-Sorted Abstract Syntax" (code-pdf-page "fioreabssyn" "$S/https/www.cl.cam.ac.uk/~mpf23/papers/Types/AbsSyn.pdf") (code-pdf-text "fioreabssyn" "$S/https/www.cl.cam.ac.uk/~mpf23/papers/Types/AbsSyn.pdf") ;; (find-fioreabssynpage) ;; (find-fioreabssyntext) ;; ;; https://www.cl.cam.ac.uk/~mpf23/Notes/daytensor.pdf (code-pdf-page "fioredayt" "$S/https/www.cl.cam.ac.uk/~mpf23/Notes/daytensor.pdf") (code-pdf-text "fioredayt" "$S/https/www.cl.cam.ac.uk/~mpf23/Notes/daytensor.pdf") ;; (find-fioredaytpage) ;; (find-fioredayttext) ;; «fong» (to ".fong") ;; http://math.ucr.edu/home/baez/networks/ ;; https://arxiv.org/abs/1609.05382 ;; https://arxiv.org/pdf/1609.05382.pdf ;; http://math.ucr.edu/home/baez/networks/ ;; https://johncarlosbaez.wordpress.com/2016/10/23/open-and-interconnected-systems/ (code-pdf-page "fongphd" "$S/https/arxiv.org/pdf/1609.05382.pdf") (code-pdf-text "fongphd" "$S/https/arxiv.org/pdf/1609.05382.pdf") ;; (find-fongphdpage) ;; (find-fongphdtext) ;; «fong-myers-spivak» (to ".fong-myers-spivak") ;; (find-books "__cats/__cats.el" "fong-myers-spivak") ;; Fong/Myers/Spivak: "Behavioral Mereology: A Modal Logic for Passing Constraints" ;; https://golem.ph.utexas.edu/category/2019/06/behavioral_mereology.html ;; https://arxiv.org/abs/1811.00420 ;; https://arxiv.org/pdf/1811.00420.pdf (code-pdf-page "behamer" "$S/https/arxiv.org/pdf/1811.00420.pdf") (code-pdf-text "behamer" "$S/https/arxiv.org/pdf/1811.00420.pdf") ;; (find-behamerpage) ;; (find-behamertext) ;; «fong-milewski-spivak» (to ".fong-milewski-spivak") ;; (find-books "__cats/__cats.el" "fong-milewski-spivak") ;; http://brendanfong.com/programmingcats.html ;; http://brendanfong.com/programmingcats_files/cats4progs-DRAFT.pdf ;; https://www.youtube.com/playlist?list=PLhgq-BqyZ7i7MTGhUROZy3BOICnVixETS course videos (code-pdf-page "cats4progs" "$S/http/brendanfong.com/programmingcats_files/cats4progs-DRAFT.pdf") (code-pdf-text "cats4progs" "$S/http/brendanfong.com/programmingcats_files/cats4progs-DRAFT.pdf") ;; (find-cats4progspage) ;; (find-cats4progstext) ;; «fong-spivak» (to ".fong-spivak") ;; (find-books "__cats/__cats.el" "fong-spivak") ;; (find-LATEX "catsem-u.bib" "bib-FongSpivak") ;; (find-es "tikz" "seven-sketches-src") ;; http://math.mit.edu/~dspivak/ ;; http://math.mit.edu/~dspivak/teaching/sp18/7Sketches.pdf (code-pdf-page "fongspivak" "~/books/__cats/fong_spivak__seven_sketches_on_compositionality.pdf") (code-pdf-text "fongspivak" "~/books/__cats/fong_spivak__seven_sketches_on_compositionality.pdf" 12) ;; (find-fongspivakpage) ;; (find-fongspivaktext) ;; (find-fongspivakpage (+ 12 1) "1 Generative effects: Orders and adjunctions") ;; (find-fongspivakpage (+ 12 1) "1.1 More than the sum of their parts") ;; (find-fongspivakpage (+ 12 2) "1.1.1 A first look at generative effects") ;; (find-fongspivakpage (+ 12 5) "1.1.2 Ordering systems") ;; (find-fongspivakpage (+ 12 7) "1.2 What is order?") ;; (find-fongspivakpage (+ 12 7) "1.2.1 Review of sets, relations, and functions") ;; (find-fongspivakpage (+ 12 12) "1.2.2 Preorders") ;; (find-fongspivakpage (+ 12 18) "1.2.3 Monotone maps") ;; (find-fongspivakpage (+ 12 23) "1.3 Meets and joins") ;; (find-fongspivakpage (+ 12 23) "1.3.1 Definition and basic examples") ;; (find-fongspivakpage (+ 12 26) "1.3.2 Back to observations and generative effects") ;; (find-fongspivakpage (+ 12 26) "1.4 Galois connections") ;; (find-fongspivakpage (+ 12 27) "1.4.1 Definition and examples of Galois connections") ;; (find-fongspivakpage (+ 12 28) "1.4.2 Back to partitions") ;; (find-fongspivakpage (+ 12 30) "1.4.3 Basic theory of Galois connections") ;; (find-fongspivakpage (+ 12 33) "1.4.4 Closure operators") ;; (find-fongspivakpage (+ 12 35) "1.4.5 Level shifting") ;; (find-fongspivakpage (+ 12 36) "1.5 Summary and further reading") ;; (find-fongspivakpage (+ 12 39) "2 Resources: monoidal preorders and enrichment") ;; (find-fongspivakpage (+ 12 39) "2.1 Getting from a to b") ;; (find-fongspivakpage (+ 12 41) "2.2 Symmetric monoidal preorders") ;; (find-fongspivakpage (+ 12 41) "2.2.1 Definition and first examples") ;; (find-fongspivakpage (+ 12 43) "2.2.2 Introducing wiring diagrams") ;; (find-fongspivakpage (+ 12 48) "2.2.3 Applied examples") ;; (find-fongspivakpage (+ 12 52) "2.2.4 Abstract examples") ;; (find-fongspivakpage (+ 12 55) "2.2.5 Monoidal monotone maps") ;; (find-fongspivakpage (+ 12 57) "2.3 Enrichment") ;; (find-fongspivakpage (+ 12 57) "2.3.1 V-categories") ;; (find-fongspivakpage (+ 12 58) "2.3.2 Preorders as Bool-categories") ;; (find-fongspivakpage (+ 12 59) "2.3.3 Lawvere metric spaces") ;; (find-fongspivakpage (+ 12 63) "2.3.4 V-variations on preorders and metric spaces") ;; (find-fongspivakpage (+ 12 64) "2.4 Constructions on V-categories") ;; (find-fongspivakpage (+ 12 64) "2.4.1 Changing the base of enrichment") ;; (find-fongspivakpage (+ 12 65) "2.4.2 Enriched functors") ;; (find-fongspivakpage (+ 12 66) "2.4.3 Product V-categories") ;; (find-fongspivakpage (+ 12 68) "2.5 Computing presented V-categories with matrix mult.") ;; (find-fongspivakpage (+ 12 69) "2.5.1 Monoidal closed preorders") ;; (find-fongspivakpage (+ 12 71) "2.5.2 Quantales") ;; (find-fongspivakpage (+ 12 73) "2.5.3 Matrix multiplication in a quantale") ;; (find-fongspivakpage (+ 12 75) "2.6 Summary and further reading") ;; (find-fongspivakpage (+ 12 77) "3 Databases: Categories, functors, and (co)limits") ;; (find-fongspivakpage (+ 12 77) "3.1 What is a database?") ;; (find-fongspivakpage (+ 12 81) "3.2 Categories") ;; (find-fongspivakpage (+ 12 82) "3.2.1 Free categories") ;; (find-fongspivakpage (+ 12 84) "3.2.2 Presenting categories via path equations") ;; (find-fongspivakpage (+ 12 85) "3.2.3 Preorders and free categories: two ends of a spectrum") ;; (find-fongspivakpage (+ 12 86) "3.2.4 Important categories in mathematics") ;; (find-fongspivakpage (+ 12 88) "3.2.5 Isomorphisms in a category") ;; (find-fongspivakpage (+ 12 89) "3.3 Functors, natural transformations, and databases") ;; (find-fongspivakpage (+ 12 89) "3.3.1 Sets and functions as databases") ;; (find-fongspivakpage (+ 12 91) "3.3.2 Functors") ;; (find-fongspivakpage (+ 12 93) "3.3.3 Database instances as Set-valued functors") ;; (find-fongspivakpage (+ 12 95) "3.3.4 Natural transformations") ;; (find-fongspivakpage (+ 12 97) "3.3.5 The category of instances on a schema") ;; (find-fongspivakpage (+ 12 99) "3.4 Adjunctions and data migration") ;; (find-fongspivakpage (+ 12 100) "3.4.1 Pulling back data along a functor") ;; (find-fongspivakpage (+ 12 102) "3.4.2 Adjunctions") ;; (find-fongspivakpage (+ 12 104) "3.4.3 Left and right pushforward functors, and") ;; (find-fongspivakpage (+ 12 106) "3.4.4 Single set summaries of databases") ;; (find-fongspivakpage (+ 12 107) "3.5 Bonus: An introduction to limits and colimits") ;; (find-fongspivakpage (+ 12 107) "3.5.1 Terminal objects and products") ;; (find-fongspivakpage (+ 12 110) "3.5.2 Limits") ;; (find-fongspivakpage (+ 12 111) "3.5.3 Finite limits in Set") ;; (find-fongspivakpage (+ 12 112) "Pullbacks") ;; (find-fongspivakpage (+ 12 113) "3.5.4 A brief note on colimits") ;; (find-fongspivakpage (+ 12 114) "3.6 Summary and further reading") ;; (find-fongspivakpage (+ 12 117) "4 Co-design: profunctors and monoidal categories") ;; (find-fongspivakpage (+ 12 117) "4.1 Can we build it?") ;; (find-fongspivakpage (+ 12 119) "4.2 Enriched profunctors") ;; (find-fongspivakpage (+ 12 119) "4.2.1 Feasibility relationships as Bool-profunctors") ;; (find-fongspivakpage (+ 12 121) "4.2.2 V-profunctors") ;; (find-fongspivakpage (+ 12 124) "4.2.3 Back to co-design diagrams") ;; (find-fongspivakpage (+ 12 125) "4.3 Categories of profunctors") ;; (find-fongspivakpage (+ 12 125) "4.3.1 Composing profunctors") ;; (find-fongspivakpage (+ 12 127) "4.3.2 The categories V-Prof and Feas") ;; (find-fongspivakpage (+ 12 130) "4.3.3 Fun profunctor facts: companions, conjoints, collages") ;; (find-fongspivakpage (+ 12 132) "4.4 Categorification") ;; (find-fongspivakpage (+ 12 133) "4.4.1 The basic idea of categorification") ;; (find-fongspivakpage (+ 12 134) "4.4.2 A reflection on wiring diagrams") ;; (find-fongspivakpage (+ 12 136) "4.4.3 Monoidal categories") ;; (find-fongspivakpage (+ 12 138) "4.4.4 Categories enriched in a symmetric monoidal category") ;; (find-fongspivakpage (+ 12 139) "4.5 Profunctors form a compact closed category") ;; (find-fongspivakpage (+ 12 141) "4.5.1 Compact closed categories") ;; (find-fongspivakpage (+ 12 143) "4.5.2 Feas as a compact closed category") ;; (find-fongspivakpage (+ 12 145) "4.6 Summary and further reading") ;; (find-fongspivakpage (+ 12 147) "5 Signal flow graphs: Props, presentations, & proofs") ;; (find-fongspivakpage (+ 12 147) "5.1 Comparing systems as interacting signal processors") ;; (find-fongspivakpage (+ 12 149) "5.2 Props and presentations") ;; (find-fongspivakpage (+ 12 149) "5.2.1 Props: definition and first examples") ;; (find-fongspivakpage (+ 12 151) "5.2.2 The prop of port graphs") ;; (find-fongspivakpage (+ 12 153) "5.2.3 Free constructions and universal properties") ;; (find-fongspivakpage (+ 12 155) "5.2.4 The free prop on a signature") ;; (find-fongspivakpage (+ 12 158) "5.2.5 Props via presentations") ;; (find-fongspivakpage (+ 12 159) "5.3 Simplified signal flow graphs") ;; (find-fongspivakpage (+ 12 159) "5.3.1 Rigs") ;; (find-fongspivakpage (+ 12 160) "5.3.2 The iconography of signal flow graphs") ;; (find-fongspivakpage (+ 12 164) "5.3.3 The prop of matrices over a rig") ;; (find-fongspivakpage (+ 12 165) "5.3.4 Turning signal flow graphs into matrices") ;; (find-fongspivakpage (+ 12 168) "5.3.5 The idea of functorial semantics") ;; (find-fongspivakpage (+ 12 168) "5.4 Graphical linear algebra") ;; (find-fongspivakpage (+ 12 168) "5.4.1 A presentation of Mat(R)") ;; (find-fongspivakpage (+ 12 172) "5.4.2 Aside: monoid objects in a monoidal category") ;; (find-fongspivakpage (+ 12 174) "5.4.3 Signal flow graphs: feedback and more") ;; (find-fongspivakpage (+ 12 178) "5.5 Summary and further reading") ;; (find-fongspivakpage (+ 12 181) "6 Circuits: hypergraph categories and operads") ;; (find-fongspivakpage (+ 12 181) "6.1 The ubiquity of network languages") ;; (find-fongspivakpage (+ 12 184) "6.2 Colimits and connection") ;; (find-fongspivakpage (+ 12 184) "6.2.1 Initial objects") ;; (find-fongspivakpage (+ 12 186) "6.2.2 Coproducts") ;; (find-fongspivakpage (+ 12 188) "6.2.3 Pushouts") ;; (find-fongspivakpage (+ 12 191) "6.2.4 Finite colimits") ;; (find-fongspivakpage (+ 12 194) "6.2.5 Cospans") ;; (find-fongspivakpage (+ 12 197) "6.3 Hypergraph categories") ;; (find-fongspivakpage (+ 12 197) "6.3.1 Frobenius monoids") ;; (find-fongspivakpage (+ 12 200) "6.3.2 Wiring diagrams for hypergraph categories") ;; (find-fongspivakpage (+ 12 201) "6.3.3 Definition of hypergraph category") ;; (find-fongspivakpage (+ 12 203) "6.4 Decorated cospans") ;; (find-fongspivakpage (+ 12 204) "6.4.1 Symmetric monoidal functors") ;; (find-fongspivakpage (+ 12 204) "6.4.2 Decorated cospans") ;; (find-fongspivakpage (+ 12 207) "6.4.3 Electric circuits") ;; (find-fongspivakpage (+ 12 211) "6.5 Operads and their algebras") ;; (find-fongspivakpage (+ 12 211) "6.5.1 Operads design wiring diagrams") ;; (find-fongspivakpage (+ 12 214) "6.5.2 Operads from symmetric monoidal categories") ;; (find-fongspivakpage (+ 12 216) "6.5.3 The operad for hypergraph props") ;; (find-fongspivakpage (+ 12 218) "6.6 Summary and further reading") ;; (find-fongspivakpage (+ 12 221) "7 Logic of behavior: Sheaves, toposes, languages") ;; (find-fongspivakpage (+ 12 221) "7.1 How can we prove our machine is safe?") ;; (find-fongspivakpage (+ 12 224) "7.2 The category Set as an exemplar topos") ;; (find-fongspivakpage (+ 12 225) "7.2.1 Set-like properties enjoyed by any topos") ;; (find-fongspivakpage (+ 12 228) "7.2.2 The subobject classifier") ;; (find-fongspivakpage (+ 12 230) "7.2.3 Logic in the topos Set") ;; (find-fongspivakpage (+ 12 232) "7.3 Sheaves") ;; (find-fongspivakpage (+ 12 232) "7.3.1 Presheaves") ;; (find-fongspivakpage (+ 12 234) "7.3.2 Topological spaces") ;; (find-fongspivakpage (+ 12 236) "7.3.3 Sheaves on topological spaces") ;; (find-fongspivakpage (+ 12 242) "7.4 Toposes") ;; (find-fongspivakpage (+ 12 243) "7.4.1 The subobject classifier in a sheaf topos") ;; (find-fongspivakpage (+ 12 245) "7.4.2 Logic in a sheaf topos") ;; (find-fongspivakpage (+ 12 247) "7.4.3 Predicates") ;; (find-fongspivakpage (+ 12 248) "7.4.4 Quantification") ;; (find-fongspivakpage (+ 12 250) "7.4.5 Modalities") ;; (find-fongspivakpage (+ 12 251) "7.4.6 Type theories and semantics") ;; (find-fongspivakpage (+ 12 252) "7.5 A topos of behavior types") ;; (find-fongspivakpage (+ 12 252) "7.5.1 The interval domain") ;; (find-fongspivakpage (+ 12 253) "7.5.2 Sheaves on IR") ;; (find-fongspivakpage (+ 12 255) "7.5.3 Safety proofs in temporal logic") ;; (find-fongspivakpage (+ 12 256) "7.6 Summary and further reading") ;; (find-fongspivakpage (+ 12 259) "A Exercise solutions") ;; (find-fongspivakpage (+ 12 259) "A.1 Solutions for Chapter 1") ;; (find-fongspivakpage (+ 12 270) "A.2 Solutions for Chapter 2") ;; (find-fongspivakpage (+ 12 277) "A.3 Solutions for Chapter 3") ;; (find-fongspivakpage (+ 12 286) "A.4 Solutions for Chapter 4") ;; (find-fongspivakpage (+ 12 293) "A.5 Solutions for Chapter 5") ;; (find-fongspivakpage (+ 12 303) "A.6 Solutions for Chapter 6") ;; (find-fongspivakpage (+ 12 312) "A.7 Solutions for Chapter 7") ;; (find-fongspivakpage (+ 12 323) "Bibliography") ;; (find-fongspivakpage (+ 12 331) "Index") ;; (find-fongspivakpage 1 "Contents") ;; (find-fongspivakpage (+ 1 189) "Index") ;; (find-fongspivaktext "") ;; «fong-spivak-grl» (to ".fong-spivak-grl") ;; (find-books "__cats/__cats.el" "fong-spivak-grl") ;; Brendan Fong and David I. Spivak: "Graphical Regular Logic" (2019) ;; https://www.youtube.com/watch?v=Ft0_l_PPO4w ;; https://arxiv.org/abs/1812.05765 ;; https://arxiv.org/pdf/1812.05765.pdf (code-pdf-page "fongspivakgrl" "$S/https/arxiv.org/pdf/1812.05765.pdf") (code-pdf-text "fongspivakgrl" "$S/https/arxiv.org/pdf/1812.05765.pdf") ;; (find-fongspivakgrlpage) ;; (find-fongspivakgrltext) ;; «freyd» (to ".freyd") ;; (find-books "__cats/__cats.el" "freyd") ;; «freyd-aspects» (to ".freyd-aspects") ;; (find-books "__cats/__cats.el" "freyd-aspects") ;; Peter Freyd: "Aspects of Topoi" (1972) ;; https://ncatlab.org/spahn/files/aspects_of_topoi.pdf ;; https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0004972700045408 ;; (find-fline "$S/https/ncatlab.org/spahn/files/") (code-pdf-page "freydat" "$S/https/ncatlab.org/spahn/files/aspects_of_topoi.pdf") (code-pdf-text "freydat" "$S/https/ncatlab.org/spahn/files/aspects_of_topoi.pdf") ;; (find-freydatpage) ;; (find-freydatpage 2 "1. Cartesian Closed Categories") ;; (find-freydatpage 7 "PROPOSITION 1.11" "The following" "natural maps are isomorphisms:") ;; (find-freydattext 7 "PROPOSITION 1.11" "The following" "natural maps are isomorphisms:") ;; (find-freydatpage 8 "1.14. For any small A the category of set-valued contravariant functors S^A^op is cartesian-closed.") ;; (find-freydatpage 9 "1.2. Heyting algebras") ;; (find-freydatpage 12 "We call such a set a filter") ;; (find-freydatpage 13 "1.3. Adjoint functors arising from cartesian-closed categories") ;; (find-freydatpage 15 "xB : A -> A/B has a right adjoint") ;; (find-freydatpage 16 "1.4. Modal operators in Heyting Algebras") ;; (find-freydatpage 17 "1.5. Scattered comments") ;; (find-freydatpage 18 "2. The fundamentals of topoi") ;; (find-freydatpage 19 "2.11. For any small A, S^A^op is a topos.") ;; (find-freydatpage 21 "2.2. The representability of partial maps") ;; (find-freydatpage 24 "2.3. The fundamental theorem of topoi") ;; (find-freydatpage 27 "2.4. The propositional calculus of a topos") ;; (find-freydatpage 31 "2.5. Injective objects") ;; (find-freydatpage 33 "2.6. Sheaves") ;; (find-freydatpage 40 "2.7. Insoluble topoi, or how topoi are not as complete as you'd like") ;; (find-freydatpage 42 "3. Well-pointed topoi") ;; (find-freydatpage 43 "3.2. The plentitude of well-pointed topoi") ;; (find-freydatpage 45 "3.3. Metatheorems") ;; (find-freydatpage 47 "3.4. Solvable topoi") ;; (find-freydatpage 48 "3.5. Topoi exactly embeddable in well-pointed topoi") ;; (find-freydatpage 49 "4. The first order calculus of a topos") ;; (find-freydatpage 51 "4.2. The boolean case") ;; (find-freydatpage 55 "5. Arithmetic in topoi") ;; (find-freydatpage 58 "5.2. Primitive recursive functions in topoi") ;; (find-freydatpage 61 "5.3. The exact characterization of the natural numbers") ;; (find-freydatpage 64 "5.4. Inferring the axiom of infinity") ;; (find-freydatpage 70 "5.5. One coequalizer for all") ;; (find-freydatpage 72 "5.6. A standard recovery") ;; (find-freydatpage 73 "6. Problems") ;; (find-freydatpage 74 "Index of definitions") ;; (find-freydatpage 75 "References") ;; (find-freydatpage 8) ;; (find-freydattext) ;; «freyd-aspectscorr» (to ".freyd-aspectscorr") ;; (find-books "__cats/__cats.el" "freyd-aspectscorr") (code-pdf-page "freydatcorr" "~/books/__cats/freyd__aspects_of_topoi_corrigenda_and_acknowledgements.pdf") (code-pdf-text "freydatcorr" "~/books/__cats/freyd__aspects_of_topoi_corrigenda_and_acknowledgements.pdf" -466) ;; (find-freydatcorrpage) ;; (find-freydatcorrpage (+ -466 467) "") ;; (find-freydatcorrtext "") ;; «freyd76» (to ".freyd76") ;; (find-books "__cats/__cats.el" "freyd76") ;; (find-LATEX "catsem-u.bib" "bib-Freyd76") ;; In: (find-books "__cats/__cats.el" "heller-tierney") ;; http://angg.twu.net/scans/ ;; http://angg.twu.net/scans/freyd76__properties_invariant_within_equivalence_types_of_categories.pdf ;; http://mathoverflow.net/questions/28644/the-isomorphism-inference-rule ;; http://www.mta.ca/~cat-dist/catlist/preprints/paper-availability (code-pdf "freyd76" "$S/http/angg.twu.net/scans/freyd76__properties_invariant_within_equivalence_types_of_categories.pdf") ;; (find-freyd76page (+ -54 55) "Index") ;; «freyd-abcats» (to ".freyd-abcats") ;; (find-books "__cats/__cats.el" "freyd-abcats") ;; http://www.tac.mta.ca/tac/reprints/articles/3/tr3abs.html ;; http://www.tac.mta.ca/tac/reprints/articles/3/tr3.pdf (code-pdf-page "freydabcatsr" "$S/http/www.tac.mta.ca/tac/reprints/articles/3/tr3.pdf") (code-pdf-text "freydabcatsr" "$S/http/www.tac.mta.ca/tac/reprints/articles/3/tr3.pdf") (code-pdf-page "freydabcats" "~/books/__cats/freyd__abelian_categories.pdf") (code-pdf-text "freydabcats" "~/books/__cats/freyd__abelian_categories.pdf" 10) ;; (find-freydabcatsrpage) ;; (find-freydabcatsrpage (+ 26 -7) "Contents") ;; (find-freydabcatsrpage (+ 26 1) "Introduction") ;; (find-freydabcatsrpage (+ 26 35) "2. Fundamentals of Abelian categories") ;; (find-freydabcatsrtext) ;; (find-freydabcatspage) ;; (find-freydabcatspage (+ 12 -7) "Contents") ;; (find-freydabcatstext (+ 12 -7) "Contents") ;; (find-freydabcatspage (+ 10 1) "Introduction") ;; (find-freydabcatspage (+ 10 11) "Exercises on Extremal Categories") ;; (find-freydabcatspage (+ 10 12) "Exercises on Typical Categories") ;; (find-freydabcatspage (+ 10 14) "CHAPTER 1. FUNDAMENTALS") ;; (find-freydabcatspage (+ 10 15) "1.1. Contravariant Functors and Dual Categories") ;; (find-freydabcatspage (+ 10 16) "1.2. Notation") ;; (find-freydabcatspage (+ 10 16) "1.3. The Standard Functors") ;; (find-freydabcatspage (+ 10 17) "1.4. Special Maps") ;; (find-freydabcatspage (+ 10 19) "1.5. Subobjects and Quotient Objects") ;; (find-freydabcatspage (+ 10 21) "1.6. Difference Kernels and Cokernels") ;; (find-freydabcatspage (+ 10 22) "1.7. Products and Sums") ;; (find-freydabcatspage (+ 10 25) "1.8. Complete Categories") ;; (find-freydabcatspage (+ 10 26) "1.9. Zero Objects, Kernels, and Cokernels") ;; (find-freydabcatspage (+ 10 27) "Exercises") ;; (find-freydabcatspage (+ 10 35) "CHAPTER 2. FUNDAMENTALS OF ABELIAN CATEGORIES") ;; (find-freydabcatspage (+ 10 36) "2.1. Theorems for Abelian Categories") ;; (find-freydabcatspage (+ 10 44) "2.2. Exact Sequences") ;; (find-freydabcatspage (+ 10 45) "2.3. The Additive Structure for Abelian Categories") ;; (find-freydabcatspage (+ 10 51) "2.5. The Pullback and Pushout Theorems") ;; (find-freydabcatspage (+ 10 54) "2.6. Classical Lemmas") ;; (find-freydabcatspage (+ 10 60) "Exercises") ;; (find-freydabcatspage (+ 10 64) "CHAPTER 3. SPECIAL FUNCTORS AND SUBCATEGORIES") ;; (find-freydabcatspage (+ 10 64) "3.1. Additivity and Exactness") ;; (find-freydabcatspage (+ 10 66) "3.2. Embeddings") ;; (find-freydabcatspage (+ 10 67) "3.3. Special Objects") ;; (find-freydabcatspage (+ 10 70) "3.4. Subcategories") ;; (find-freydabcatspage (+ 10 72) "3.5. Special Contravariant Functors") ;; (find-freydabcatspage (+ 10 72) "3.6. Bifunctors") ;; (find-freydabcatspage (+ 10 74) "Exercises") ;; (find-freydabcatspage (+ 10 89) "M. The special adjoint functor theorem") ;; (find-freydabcatstext (+ 10 89) "M. The special adjoint functor theorem") ;; (find-freydabcatspage (+ 10 94) "CHAPTER 4. METATHEOREMS") ;; (find-freydabcatspage (+ 10 95) "4.1. Very Abelian Categories") ;; (find-freydabcatspage (+ 10 96) "4.2. First Metatheorem") ;; (find-freydabcatspage (+ 10 97) "4.3. Fully Abelian Categories") ;; (find-freydabcatspage (+ 10 100) "4.4. Mitchell's Theorem") ;; (find-freydabcatspage (+ 10 103) "Exercises") ;; (find-freydabcatspage (+ 10 109) "CHAPTER 5. FUNCTOR CATEGORIES") ;; (find-freydabcatspage (+ 10 109) "5.1. Abelianness") ;; (find-freydabcatspage (+ 10 111) "5.2. Grothendieck Categories") ;; (find-freydabcatspage (+ 10 112) "5.3. The Representation Functor") ;; (find-freydabcatspage (+ 10 115) "Exercises") ;; (find-freydabcatspage (+ 10 123) "CHAPTER 6. INJECTIVE ENVELOPES") ;; (find-freydabcatspage (+ 10 123) "6.1. Extensions") ;; (find-freydabcatspage (+ 10 126) "6.2. Envelopes") ;; (find-freydabcatspage (+ 10 131) "Exercises") ;; (find-freydabcatspage (+ 10 138) "CHAPTER 7. EMBEDDING THEOREMS") ;; (find-freydabcatspage (+ 10 138) "7.1. First Embedding") ;; (find-freydabcatspage (+ 10 141) "7.2. An Abstraction") ;; (find-freydabcatspage (+ 10 148) "Objects and Left-Exact Functors") ;; (find-freydabcatspage (+ 10 150) "Exercises") ;; (find-freydabcatspage (+ 10 155) "APPENDIX") ;; (find-freydabcatspage (+ 10 161) "BILIOGRAPHY") ;; (find-freydabcatspage (+ 10 163) "INDEX") ;; (find-freydabcatstext "") ;; «freyd-kelly» (to ".freyd-kelly") ;; http://tetrapharmakon.github.io/stuff/3.Freyd-Kelly-Continuous.pdf (code-pdf-page "freydkelly" "$S/http/tetrapharmakon.github.io/stuff/3.Freyd-Kelly-Continuous.pdf") (code-pdf-text "freydkelly" "$S/http/tetrapharmakon.github.io/stuff/3.Freyd-Kelly-Continuous.pdf") ;; (find-freydkellypage) ;; (find-freydkellytext) ;; «freyd-scedrov» (to ".freyd-scedrov") ;; (find-books "__cats/__cats.el" "freyd-scedrov") ;; (find-LATEX "catsem-ab.bib" "bib-FreydScedrov") ;; (find-LATEX "catsem.bib" "bib-FreydScedrov") (code-pdf-page "freydscedrov" "~/books/__cats/freyd_scedrov__categories_allegories.pdf") (code-pdf-text "freydscedrov" "~/books/__cats/freyd_scedrov__categories_allegories.pdf" 19) ;; (find-freydscedrovpage 10 "Contents") ;; (find-freydscedrovpage (+ 19 3) "1.1. Basic definitions") ;; (find-freydscedrovpage (+ 19 5) "1.18. Functor") ;; (find-freydscedrovpage (+ 19 10) "founded on B") ;; (find-freydscedrovpage (+ 19 10) "preserve structure") ;; (find-freydscedrovpage (+ 19 17) "redundant and is omitted") ;; (find-freydscedrovpage (+ 19 28) "1.39. The language of diagrams") ;; (find-freydscedrovpage (+ 19 34) "1.3(10)1." "with a free category as root") ;; (find-freydscedrovpage (+ 19 37) "1.4. Cartesian Categories") ;; (find-freydscedrovpage (+ 19 44) "1.431. Pullback") ;; (find-freydscedrovpage (+ 19 54) "1.49. tau-categories") ;; (find-freydscedrovpage (+ 19 54) "1.491. Diversion." "ith digit of x") ;; (find-freydscedrovpage (+ 19 57) "be canonical pullbacks") ;; (find-freydscedrovpage (+ 19 66) "1.4(12). A metatheorem for tau categories") ;; (find-freydscedrovpage (+ 19 96) "snake lemma") ;; (find-freydscedrovpage (+ 19 98) "1.6. Pre-Logoi") ;; (find-freydscedrovpage (+ 19 117) "1.7. Logoi") ;; (find-freydscedrovpage (+ 19 138) "1.8. Adjoint functors, Grothendieck topoi, and exp. categories") ;; (find-freydscedrovpage (+ 19 140) "1.8.18. A pair of contravariant functors") ;; (find-freydscedrovpage (+ 19 148) "1.8.4. Grothendieck topoi") ;; (find-freydscedrovpage (+ 19 150) "1.8.5. Exponential categories") ;; (find-freydscedrovpage (+ 19 153) "1.8.5.4." "(Sigma is left adjoint to Delta)") ;; (find-freydscedrovpage (+ 19 156) "1.8.5.8." "A Lawvere-Tierney closure operator") ;; (find-freydscedrovpage (+ 19 157) "1.9. Topoi") ;; (find-freydscedrovpage (+ 19 190) "1.(10). Sconing") ;; (find-freydscedrovpage (+ 19 193) "CHAPTER TWO - ALLEGORIES") ;; (find-freydscedrovpage (+ 19 265) "APPENDICES") ;; (find-freydscedrovpage (+ 19 270) "APPENDIX B") ;; (find-freydscedrovpage (+ 19 271) "B.2. Rules of inference") ;; (find-freydscedrovpage (+ 19 287) "Subject index") ;; (find-freydscedrovtext "") ;; «fritz-perrone» (to ".fritz-perrone") ;; (find-books "__cats/__cats.el" "fritz-perrone") ;; https://arxiv.org/abs/1810.06037 ;; https://arxiv.org/pdf/1810.06037.pdf (code-pdf-page "fppartialev" "~/books/__cats/fritz_perrone__monads_partial_evaluations_and_rewriting.pdf") (code-pdf-text "fppartialev" "~/books/__cats/fritz_perrone__monads_partial_evaluations_and_rewriting.pdf" 1) ;; (find-fppartialevpage) ;; (find-fppartialevpage 1 "Contents") ;; (find-fppartialevpage (+ 1 189) "Index") ;; (find-fppartialevtext "") ;; «fuehrmann» (to ".fuehrmann") ;; https://carstenfuehrmann.org/papers/structure-of-call-by-value-thesis.pdf (code-pdf-page "fuehrmannphd" "$S/https/carstenfuehrmann.org/papers/structure-of-call-by-value-thesis.pdf") (code-pdf-text "fuehrmannphd" "$S/https/carstenfuehrmann.org/papers/structure-of-call-by-value-thesis.pdf") ;; (find-fuehrmannphdpage) ;; (find-fuehrmannphdtext) ;; «gabriel-zisman» (to ".gabriel-zisman") ;; (find-angg ".emacs.papers" "fritz") (code-djvu "gabrielzisman" "~/books/__cats/gabriel_zisman__calculus_of_fractions.djvu") ;; (find-gabrielzismanpage 7 "Contents") ;; (find-gabrielzismanpage (+ 8 6) "1. Categories of Fractions") ;; (find-gabrielzismanpage (+ 8 11) "2. The Calculus of Fractions") ;; (find-gabrielzismanpage (+ 8 16) "3. Calculus of Left Fractions and Direct Limits") ;; (find-gabrielzismanpage (+ 8 167) "Index") ;; «gaina-kowalski» (to ".gaina-kowalski") ;; (find-books "__cats/__cats.el" "gaina-kowalski") (code-pdf-page "fraissehint" "~/books/__cats/gaina_kowalski__fraisse-hintikka_theorem_in_institutions.pdf") (code-pdf-text "fraissehint" "~/books/__cats/gaina_kowalski__fraisse-hintikka_theorem_in_institutions.pdf" 1) ;; (find-fraissehintpage) ;; (find-fraissehintpage 1 "1 Introduction") ;; (find-fraissehinttext 1 "1 Introduction") ;; (find-fraissehintpage 3 "2 Preliminaries") ;; (find-fraissehinttext 3 "2 Preliminaries") ;; (find-fraissehintpage 4 "2.1 Examples") ;; (find-fraissehinttext 4 "2.1 Examples") ;; (find-fraissehintpage 5 "Example 3 (Partial algebra (PA))") ;; (find-fraissehinttext 5 "Example 3 (Partial algebra (PA))") ;; (find-fraissehintpage 6 "Example 5 (Institution of presentations)") ;; (find-fraissehinttext 6 "Example 5 (Institution of presentations)") ;; (find-fraissehintpage 7 "3 Institution independent concepts") ;; (find-fraissehinttext 7 "3 Institution independent concepts") ;; (find-fraissehintpage 8 "binds stronger than") ;; (find-fraissehinttext 8 "binds stronger than") ;; (find-fraissehintpage 8 "3.2 Quantification space") ;; (find-fraissehinttext 8 "3.2 Quantification space") ;; (find-fraissehintpage 9 "4 Fraisse-Hintikka theorem") ;; (find-fraissehinttext 9 "4 Fraisse-Hintikka theorem") ;; (find-fraissehintpage 19 "References") ;; (find-fraissehinttext "") ;; (find-booksfile "__logic/__logic.el" "tapsoft93") ;; (find-books "__cats/__cats.el" "diaconescu" "diaconescuqvis") ;; «gangle» (to ".gangle") ;; (find-books "__cats/__cats.el" "gangle") (code-pdf-page "gangledictp" "~/books/__cats/gangle__diagrammatic_immanence_category_theory_and_philosophy.pdf") (code-pdf-text "gangledictp" "~/books/__cats/gangle__diagrammatic_immanence_category_theory_and_philosophy.pdf" 1) ;; (brg "~/books/__cats/gangle__diagrammatic_immanence_category_theory_and_philosophy.pdf") ;; (find-gangledictppage) ;; (find-gangledictppage (+ 9 1) "Introduction") ;; (find-gangledictppage (+ 9 20) "1 Spinoza and Relational Immanence") ;; (find-gangledictppage (+ 9 70) "2 Diagrams of Structure: Categories and Functors") ;; (find-gangledictppage (+ 9 104) "3 Peirce and Semiotic Immanence") ;; (find-gangledictppage (+ 9 139) "4 Diagrams of Variation: Functor Categories and Presheaves") ;; (find-gangledictppage (+ 9 162) "5 Deleuze and Expressive Immanence") ;; (find-gangledictppage (+ 9 211) "6 Diagrams of Difference: Adjunctions and Topoi") ;; (find-gangledictppage (+ 9 242) "Conclusion") ;; (find-gangledictppage (+ 9 245) "Bibliography") ;; (find-gangledictppage (+ 9 255) "Index") ;; (find-gangledictppage 1 "Contents") ;; (find-gangledictppage (+ 1 189) "Index") ;; (find-gangledictptext "") ;; (find-gangledictppage 6 "Contents") ;; (find-gangledictptext 6 "Contents") ;; «garner» (to ".garner") ;; (find-books "__cats/__cats.el" "garner") ;; Richard Garner: "Understanding the small object argument" (2008) ;; https://ncatlab.org/nlab/show/algebraic+small+object+argument ;; https://arxiv.org/abs/0712.0724 ;; https://arxiv.org/pdf/0712.0724.pdf (code-pdf-page "garnerso" "$S/https/arxiv.org/pdf/0712.0724.pdf") (code-pdf-text "garnerso" "$S/https/arxiv.org/pdf/0712.0724.pdf") ;; (find-garnersopage) ;; (find-garnersotext) ;; «garner-lemay» (to ".garner-lemay") ;; (find-books "__cats/__cats.el" "garner-lemay") ;; "Cartesian Differential Categories as Skew Enriched Categories" ;; https://arxiv.org/abs/2002.02554 ;; https://arxiv.org/pdf/2002.02554.pdf (code-pdf-page "garnerlemay" "$S/https/arxiv.org/pdf/2002.02554.pdf") (code-pdf-text "garnerlemay" "$S/https/arxiv.org/pdf/2002.02554.pdf") ;; (find-garnerlemaypage) ;; (find-garnerlemaytext) ;; «gavranovicphd» (to ".gavranovicphd") ;; https://www.brunogavranovic.com/assets/FundamentalComponentsOfDeepLearning.pdf ;; (find-fline "$S/https/www.brunogavranovic.com/assets/") (code-pdf-page "gavranovicphd" "$S/https/www.brunogavranovic.com/assets/FundamentalComponentsOfDeepLearning.pdf") (code-pdf-text "gavranovicphd" "$S/https/www.brunogavranovic.com/assets/FundamentalComponentsOfDeepLearning.pdf") ;; (find-gavranovicphdpage) ;; (find-gavranovicphdtext) ;; (find-gavranovicphdpage 4 "Contents") ;; (find-gavranovicphdtext 4 "Contents") ;; «genovese» (to ".genovese") ;; (find-books "__cats/__cats.el" "genovese") ;; (find-es "idris" "idris-ct") ;; https://mathoverflow.net/questions/152497/formalizations-of-category-theory-in-proof-assistants ;; https://www.philipzucker.com/category-theory-in-the-e-automated-theorem-prover/ ;; ;; «genovese-idris-ct» (to ".genovese-idris-ct") ;; (find-books "__cats/__cats.el" "genovese-idris-ct") ;; Genovese/Gryzlov/Herold/Knispel/Perone/Post/Videla/Statebox team: ;; "idris-ct: A library to do category theory in Idris" (2019) ;; (find-sh0 "cp -v $S/https/arxiv.org/pdf/1912.06191.pdf /tmp/idris-ct.pdf") ;; https://arxiv.org/abs/1912.06191 ;; https://arxiv.org/pdf/1912.06191.pdf (code-pdf-page "idrisct" "$S/https/arxiv.org/pdf/1912.06191.pdf") (code-pdf-text "idrisct" "$S/https/arxiv.org/pdf/1912.06191.pdf") ;; (find-idrisctpage) ;; (find-idriscttext) ;; (find-idrisctpage 9 "raising awareness") ;; (find-idriscttext 9 "raising awareness") ;; (find-idrisctpage 11 "References") ;; (find-idriscttext 11 "References") ;; ;; This is a draft of the arxiv paper above... ;; https://mail.google.com/mail/ca/u/0/#inbox/KtbxLrjKVqwQSSnLQgJpgSgtqZWFZBVBZg (code-pdf-page "idrisctact2019" "~/books/__cats/genovese_et_al__idris-ct_a_library_to_do_category_theory_in_idris.pdf") (code-pdf-text "idrisctact2019" "~/books/__cats/genovese_et_al__idris-ct_a_library_to_do_category_theory_in_idris.pdf" 1) ;; (find-idrisctact2019page) ;; (find-idrisctact2019page 1 "Contents") ;; (find-idrisctact2019page (+ 1 189) "Index") ;; (find-idrisctact2019text "") ;; https://www.cs.ox.ac.uk/people/bob.coecke/Fabrizio.pdf ;; (find-fline "$S/https/www.cs.ox.ac.uk/people/bob.coecke/") (code-pdf-page "genovesephd" "$S/https/www.cs.ox.ac.uk/people/bob.coecke/Fabrizio.pdf") (code-pdf-text "genovesephd" "$S/https/www.cs.ox.ac.uk/people/bob.coecke/Fabrizio.pdf" 10) ;; (find-genovesephdpage) ;; (find-genovesephdtext) ;; (find-genovesephdpage 7 "CONTENTS") ;; (find-genovesephdtext 7 "CONTENTS") ;; (find-genovesephdpage (+ 10 135) "COMPOSITIONALITY IN MIDDLE EGYPTIAN") ;; (find-genovesephdtext (+ 10 135) "COMPOSITIONALITY IN MIDDLE EGYPTIAN") ;; (find-genovesephdpage (+ 10 185) "BIBLIOGRAPHY") ;; (find-genovesephdtext (+ 10 185) "BIBLIOGRAPHY") ;; (find-genovesephdpage (+ 10 191) "A. H. Gardiner. Egyptian Grammar") ;; (find-genovesephdtext (+ 10 191) "A. H. Gardiner. Egyptian Grammar") ;; (find-genovesephdpage (+ 10 192) "J. E. Hoch. Middle Egyptian Grammar") ;; (find-genovesephdtext (+ 10 192) "J. E. Hoch. Middle Egyptian Grammar") ;; «gilmore-tsiknis» (to ".gilmore-tsiknis") ;; (find-books "__cats/__cats.el" "gilmore-tsiknis") (code-pdf-page "gilmoretsik" "~/books/__cats/gilmore_tsiknis__a_logic_for_category_theory.pdf") (code-pdf-text "gilmoretsik" "~/books/__cats/gilmore_tsiknis__a_logic_for_category_theory.pdf" -210) ;; (find-gilmoretsikpage) ;; (find-gilmoretsikpage (+ -210 211) "1. Introduction") ;; (find-gilmoretsikpage (+ -210 213) "2. The logic NaDSet") ;; (find-gilmoretsiktext (+ -210 213) "2. The logic NaDSet") ;; (find-gilmoretsikpage (+ -210 251) "References") ;; (find-gilmoretsiktext (+ -210 251) "References") ;; (find-gilmoretsiktext "") ;; «godement» (to ".godement") ;; (find-books "__cats/__cats.el" "godement") (code-pdf-page "godement" "~/books/__cats/godement__topologie_algebrique_et_theorie_des_faisceaux.pdf") (code-pdf-text "godement" "~/books/__cats/godement__topologie_algebrique_et_theorie_des_faisceaux.pdf" 1) ;; (find-godementpage) ;; (find-godementpage 5 "Preface") ;; (find-godementpage 11 "Leitfaden") ;; (find-godementpage (+ 12 1) "I. Algèbre homologique") ;; (find-godementpage (+ 12 16) "1.9. Prefaisceaux sur un espace topologique") ;; (find-godementpage (+ 12 19) "2. Généralités sur les complexes") ;; (find-godementpage (+ 12 35) "3. Complexes simpliciaux") ;; (find-godementpage (+ 12 63) "3.9. Equivalence entre produits cartésiens et tensoriels") ;; (find-godementpage (+ 12 75) "4. Suites spectrales") ;; (find-godementpage (+ 12 90) "5. Les groupes Ext e Tor") ;; (find-godementpage (+ 12 107) "II. Théorie des faisceaux") ;; (find-godementpage (+ 12 109) "1. Faisceaux d'ensembles") ;; (find-godementpage (+ 12 109) "1.1. Axiomes des faisceaux") ;; (find-godementpage (+ 12 113) "1.4. Faisceaux simples") ;; (find-godementpage (+ 12 123) "2. Faisceaux de modules") ;; (find-godementpage (+ 12 147) "3. Problemes de prolongement et de relevement de sections") ;; (find-godementpage (+ 12 164) "4. Cohomologie a valeurs dans un faisceau") ;; (find-godementpage (+ 12 203) "5. Cohomologie de Cech") ;; (find-godementpage (+ 12 238) "6. Produit cartesien et cup-produit") ;; (find-godementpage (+ 12 260) "7. Foncteurs derives en theorie des faisceaux") ;; (find-godementpage (+ 12 280) "Index des notations") ;; (find-godementpage (+ 12 281) "Table des matières") ;; (find-godementpage (+ 1 189) "Index") ;; (find-godementtext "") ;; «gogioso» (to ".gogioso") ;; http://www.cs.ox.ac.uk/people/stefano.gogioso/ ;; Stefano Gogioso: "Categorical Quantum Dynamics" (PhD thesis, 2017) ;; https://arxiv.org/abs/1709.09772 ;; https://arxiv.org/pdf/1709.09772.pdf (code-pdf-page "gogiosophd" "$S/https/arxiv.org/pdf/1709.09772.pdf") (code-pdf-text "gogiosophd" "$S/https/arxiv.org/pdf/1709.09772.pdf") ;; (find-gogiosophdpage) ;; (find-gogiosophdtext) ;; «goguen» (to ".goguen") ;; (find-books "__cats/__cats.el" "goguen") ;; https://en.wikipedia.org/wiki/Joseph_Goguen ;; https://cseweb.ucsd.edu/~goguen/pubs/ ;; https://cseweb.ucsd.edu/~goguen/projs/semio.html ;; https://cseweb.ucsd.edu/~goguen/pps/notn.ps ;; https://cseweb.ucsd.edu/~goguen/pps/notn.pdf ;; (find-fline "$S/https/cseweb.ucsd.edu/~goguen/pps/") (code-pdf-page "onnotation" "$S/https/cseweb.ucsd.edu/~goguen/pps/notn.pdf") (code-pdf-text "onnotation" "$S/https/cseweb.ucsd.edu/~goguen/pps/notn.pdf") ;; (find-onnotationpage) ;; (find-onnotationtext) ;; (find-onnotationpage 1 "C.S. Peir e") ;; (find-onnotationtext 1 "C.S. Peir e") ;; "An introduction to algebraic semiotics, with application to user interface design" (code-pdf-page "goguenalgsem" "$S/https/cseweb.ucsd.edu/~goguen/pps/as.pdf") (code-pdf-text "goguenalgsem" "$S/https/cseweb.ucsd.edu/~goguen/pps/as.pdf") ;; (find-goguenalgsempage) ;; (find-goguenalgsemtext) ;; https://dl.acm.org/doi/10.1145/321992.321997 ;; Goguen/Thatcher/Wagner/Wright: "Initial Algebra Semantics and Continuous Algebras" (1977) (code-pdf-page "gogueniasc" "~/books/__cats/goguen_thatcher_wagner_wright__initial_algebra_semantics_and_continuous_algebras.pdf") (code-pdf-text "gogueniasc" "~/books/__cats/goguen_thatcher_wagner_wright__initial_algebra_semantics_and_continuous_algebras.pdf" -67) ;; (find-gogueniascpage) ;; (find-gogueniascpage 1 "Contents") ;; (find-gogueniascpage (+ -67 68) "Index") ;; (find-gogueniasctext "") ;; "A categorical manifesto" (1991) ;; http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.13.362 (code-pdf-page "goguencatman" "~/books/__cats/goguen__a_categorical_manifesto.pdf") (code-pdf-text "goguencatman" "~/books/__cats/goguen__a_categorical_manifesto.pdf" 1) ;; (find-goguencatmanpage) ;; (find-goguencatmanpage 1 "Contents") ;; (find-goguencatmanpage (+ 1 189) "Index") ;; (find-goguencatmantext "") ;; «goldblatt» (to ".goldblatt") ;; (find-books "__cats/__cats.el" "goldblatt") ;; (find-LATEX "catsem-u.bib" "bib-Goldblatt") (code-pdf-page "goldblatt" "~/books/__cats/goldblatt__topoi.pdf") (code-pdf-text "goldblatt" "~/books/__cats/goldblatt__topoi.pdf" 17) ;; (find-goldblattpage) ;; (find-goldblattpage 16 "Contents") ;; (find-goldblattpage (+ 17 1) "Prospectus") ;; (find-goldblattpage (+ 17 6) "1. Mathematics = Set Theory?") ;; (find-goldblattpage (+ 17 75) "4. Introducing Topoi") ;; (find-goldblattpage (+ 17 75) "4.1. Subobjects") ;; (find-goldblattpage (+ 17 146) "7. Algebra of subobjects") ;; (find-goldblattpage (+ 17 531) "Catalogue of notation") ;; (find-goldblattpage (+ 17 541) "Index of definitions") ;; (find-goldblatttext "") ;; «gorard-namuduri-arsiwalla» (to ".gorard-namuduri-arsiwalla") ;; Gorard/Namuduri/Arsiwalla: "ZX-Calculus and Extended Hypergraph ;; Rewriting Systems I: A Multiway Approach to Categorical Quantum ;; Information Theory" ;; https://arxiv.org/abs/2010.02752 ;; https://arxiv.org/pdf/2010.02752.pdf (code-pdf-page "multiacqit" "$S/https/arxiv.org/pdf/2010.02752.pdf") (code-pdf-text "multiacqit" "$S/https/arxiv.org/pdf/2010.02752.pdf") ;; (find-multiacqitpage) ;; (find-multiacqittext) ;; «gray» (to ".gray") ;; (find-books "__cats/__cats.el" "gray") ;; (find-LATEX "catsem-u.bib" "bib-Gray66") ;; Fibred and cofibred categories ;; https://link.springer.com/chapter/10.1007/978-3-642-99902-4_2 (code-pdf-page "grayfib" "~/books/__cats/gray__fibred_and_cofibred_categories.pdf") (code-pdf-text "grayfib" "~/books/__cats/gray__fibred_and_cofibred_categories.pdf" -20) ;; (find-grayfibpage) ;; (find-grayfibpage (+ -20 21) "o. Introduction") ;; (find-grayfibtext (+ -20 21) "o. Introduction") ;; (find-grayfibpage (+ -20 22) "0.1. Generalities") ;; (find-grayfibtext (+ -20 22) "0.1. Generalities") ;; (find-grayfibpage (+ -20 23) "0.2. Specific Categories and Functors") ;; (find-grayfibtext (+ -20 23) "0.2. Specific Categories and Functors") ;; (find-grayfibpage (+ -20 25) "0.3. Adjointness") ;; (find-grayfibtext (+ -20 25) "0.3. Adjointness") ;; (find-grayfibpage (+ -20 30) "1. Review of [SGA]") ;; (find-grayfibtext (+ -20 30) "1. Review of [SGA]") ;; (find-grayfibpage (+ -20 30) "cleavage") ;; (find-grayfibtext (+ -20 30) "cleavage") ;; (find-grayfibpage (+ -20 35) "2. Fibred Categories") ;; (find-grayfibtext (+ -20 35) "2. Fibred Categories") ;; (find-grayfibpage (+ -20 57) "4. Limits and Sheaves") ;; (find-grayfibtext (+ -20 57) "4. Limits and Sheaves") ;; (find-grayfibpage (+ -20 67) "5. Cofibrations") ;; (find-grayfibtext (+ -20 67) "5. Cofibrations") ;; (find-grayfibpage (+ -20 83) "References") ;; (find-grayfibtext (+ -20 83) "References") ;; (find-grayfibtext "") ;; «gray-histsheaf» (to ".gray-histsheaf") ;; (find-books "__cats/__cats.el" "slnm0753") (code-pdf-page "slnm0753" "~/books/__cats/fourman_mulvey_scott_eds__applications_of_sheaves_slnm0753.pdf") (code-pdf-text "slnm0753" "~/books/__cats/fourman_mulvey_scott_eds__applications_of_sheaves_slnm0753.pdf") ;; (find-slnm0753page 7 "Contents") ;; (find-slnm0753text 7 "Contents") ;; (find-slnm0753page (+ 16 1) "Fragments of the history of sheaf theory" "Gray") ;; (find-slnm0753page (+ 16 4) "1. Sheaves and algebraic topology") ;; (find-slnm0753page (+ 16 10) "Bibliography") ;; (find-slnm0753page (+ 16 15) "2. Sheaves and complex analysis") ;; (find-slnm0753page (+ 16 21) "Bibliography") ;; (find-slnm0753page (+ 16 39) "3. Sheaves and algebraic geometry") ;; (find-slnm0753page (+ 16 42) "Bibliography") ;; (find-slnm0753page (+ 16 50) "4. Sheaves and differential equations") ;; (find-slnm0753page (+ 16 53) "Bibliography") ;; (find-slnm0753page (+ 16 60) "5. Sheaves, category theory, and topoi") ;; (find-slnm0753page (+ 16 64) "Bibliography") ;; «grothendieck» (to ".grothendieck") ;; (find-angg ".emacs.papers" "grothendieck") ;; https://webusers.imj-prg.fr/~leila.schneps/grothendieckcircle/index.php ;; http://kolmogorov.unex.es/~navarro/res/ ;; http://archive.numdam.org/ ;; https://grothendieck.umontpellier.fr/ ;; «grothendieck-ams» (to ".grothendieck-ams") ;; "Comme Appelé du Néant - As If Summoned from the Void: The Life of Alexandre Grothendieck": ;; https://www.ams.org/notices/200409/fea-grothendieck-part1.pdf ;; https://www.ams.org/notices/200410/fea-grothendieck-part2.pdf ;; «grothendieck-kansas» (to ".grothendieck-kansas") ;; https://webusers.imj-prg.fr/~leila.schneps/grothendieckcircle/Kansasnotes.pdf (code-pdf-page "grothkansas" "$S/https/webusers.imj-prg.fr/~leila.schneps/grothendieckcircle/Kansasnotes.pdf") (code-pdf-text "grothkansas" "$S/https/webusers.imj-prg.fr/~leila.schneps/grothendieckcircle/Kansasnotes.pdf") ;; (find-grothkansaspage) ;; (find-grothkansaspage 2 "Table of contents") ;; (find-grothkansaspage (+ 3 1) "Introduction") ;; (find-grothkansaspage (+ 4 16) "II. Sheaves of sets") ;; (find-grothkansastext) ;; «grothendieck-sga1» (to ".grothendieck-sga1") ;; SGA1: "Revetements Etales et Groupe Fondamental" ;; https://arxiv.org/abs/math/0206203 ;; https://arxiv.org/pdf/math/0206203.pdf ;; http://matematicas.unex.es/~navarro/res/sga/ ;; http://matematicas.unex.es/~navarro/res/sga/SGA1%20LaTeX.pdf (code-pdf-page "sga1" "$S/https/arxiv.org/pdf/math/0206203.pdf") (code-pdf-text "sga1" "$S/https/arxiv.org/pdf/math/0206203.pdf" 16) ;; (find-sga1page) ;; (find-sga1text) ;; (find-sga1page 13 "TABLE DES MATIERES") ;; (find-sga1text 13 "TABLE DES MATIERES") ;; (find-sga1page (+ 16 119) "VI. Categories fibrees et descente") ;; (find-sga1page (+ 16 119) "0. Introduction") ;; (find-sga1page (+ 16 120) "1. Univers, categories, equivalence de categories") ;; (find-sga1page (+ 16 121) "2. Categories sur une autre") ;; (find-sga1page (+ 16 124) "3. Changement de base dans les categories sur E") ;; (find-sga1page (+ 16 128) "4. Categories-fibres ; equivalence de E -categories") ;; (find-sga1page (+ 16 130) "5. Morphismes cartesiens, images inverses, foncteurs cartesiens") ;; (find-sga1page (+ 16 132) "6. Categories fibrees et categories prefibrees. Produits et changement de base dans icelles") ;; (find-sga1page (+ 16 136) "7. Categories clivees sur E") ;; (find-sga1page (+ 16 139) "8. Categorie clivee definie par un pseudo-foncteur E Cat") ;; (find-sga1page (+ 16 142) "9. Exemple : categorie clivee definie par un foncteur E Cat ; categories scindees sur E") ;; (find-sga1page (+ 16 143) "10. Categories co-fibrees, categories bi-fibrees") ;; (find-sga1page (+ 16 144) "11. Exemples divers") ;; (find-sga1page (+ 16 148) "12. Foncteurs sur une categorie clivee") ;; (find-sga1page (+ 16 151) "13. Bibliographie") ;; «grothendieck-sga41» (to ".grothendieck-sga41") ;; (find-books "__cats/__cats.el" "grothendieck-sga41") ;; https://mail.google.com/mail/ca/u/0/#search/sga4/FMfcgxmMlZZRnmCGhxmkkGZCfgFrjMpk Peter ;; https://www.wikiwand.com/en/S%C3%A9minaire_de_G%C3%A9om%C3%A9trie_Alg%C3%A9brique_du_Bois_Marie ;; http://www.cmls.polytechnique.fr/perso/laszlo/sga4/SGA4-1/sga41.pdf ;; (find-fline "$S/http/www.cmls.polytechnique.fr/perso/laszlo/sga4/SGA4-1/") (code-pdf-page "sga41" "$S/http/www.cmls.polytechnique.fr/perso/laszlo/sga4/SGA4-1/sga41.pdf") (code-pdf-text "sga41" "$S/http/www.cmls.polytechnique.fr/perso/laszlo/sga4/SGA4-1/sga41.pdf" 6) ;; (find-sga41page) ;; (find-sga41text) ;; (find-sga41page (+ 6 1) "Exposé i préfaisceaux par A. Grothendieck et J. L. Verdier)") ;; (find-sga41page (+ 6 1) "0. Univers") ;; (find-sga41page (+ 6 3) "1. U-catégories. Préfaisceaux d'ensembles") ;; (find-sga41page (+ 6 6) "2. Limites projectives et inductives") ;; (find-sga41page (+ 6 11) "3. Propriétés d'exactitude de la catégorie des préfaisceaux") ;; (find-sga41page (+ 6 13) "4. Cribles") ;; (find-sga41page (+ 6 14) "5. Fonctorialité des catégories de préfaisceaux") ;; (find-sga41page (+ 6 24) "6. Foncteurs fidèles et foncteurs conservatifs") ;; (find-sga41page (+ 6 28) "7. Sous-catégories génératrices et cogénératrices") ;; (find-sga41page (+ 6 37) "8. Ind-objets et pro-objets") ;; (find-sga41page (+ 6 80) "9. Foncteurs accessibles, filtrations cardinales et construction de petites sous-catégories génératrices") ;; (find-sga41page (+ 6 103) "10. Glossaire") ;; (find-sga41page (+ 6 106) "Références") ;; (find-sga41page (+ 6 107) "II. Appendice : Univers (par N. Bourbaki( ))") ;; (find-sga41page (+ 6 107) "1. Définition et premières propriétés des univers") ;; (find-sga41page (+ 6 109) "2. Univers et espèces de structures") ;; (find-sga41page (+ 6 110) "3. Univers et catégories") ;; (find-sga41page (+ 6 111) "4. L'axiome des univers") ;; (find-sga41page (+ 6 112) "5. Univers et cardinaux fortement inaccessibles") ;; (find-sga41page (+ 6 116) "6. Ensembles et univers artiniens") ;; (find-sga41page (+ 6 121) "7. Remarques métamathématiques vaseuses") ;; (find-sga41page (+ 6 123) "Références") ;; (find-sga41page (+ 6 125) "Exposé ii topologies et faisceaux par J.L. Verdier") ;; (find-sga41page (+ 6 125) "1. Topologies, familles couvrantes, prétopologies") ;; (find-sga41page (+ 6 128) "2. Faisceaux d'ensembles") ;; (find-sga41page (+ 6 130) "3. Faisceau associé à un préfaisceau") ;; (find-sga41page (+ 6 135) "4. Propriétés d'exactitude de la catégorie des faisceaux") ;; (find-sga41page (+ 6 146) "5. Extension d'une topologie de C à Cb") ;; (find-sga41page (+ 6 149) "6. Faisceaux à valeurs dans une catégorie") ;; (find-sga41page (+ 6 153) "Références") ;; (find-sga41page (+ 6 155) "Exposé iii fonctorialité des catégories de faisceaux par J.L. Verdier") ;; (find-sga41page (+ 6 155) "1. Foncteurs continus") ;; (find-sga41page (+ 6 163) "2. Foncteurs cocontinus") ;; (find-sga41page (+ 6 167) "3. Topologie induite") ;; (find-sga41page (+ 6 170) "4. Lemme de comparaison") ;; (find-sga41page (+ 6 172) "5. Localisation") ;; (find-sga41page (+ 6 175) "Références") ;; (find-sga41page (+ 6 177) "Exposé iv topos par A. Grothendieck et J. L. Verdier") ;; (find-sga41page (+ 6 177) "0. Introduction") ;; (find-sga41page (+ 6 179) "1. Définition et caractérisation des topos") ;; (find-sga41page (+ 6 184) "2. Exemples de topos") ;; (find-sga41page (+ 6 191) "3. Morphismes de topos") ;; (find-sga41page (+ 6 196) "4. Exemples de morphismes de topos") ;; (find-sga41page (+ 6 215) "5. Topos induit") ;; (find-sga41page (+ 6 228) "6. Points d'un topos et foncteurs fibres") ;; (find-sga41page (+ 6 237) "7. Exemples de foncteurs fibres et de points de topos") ;; (find-sga41page (+ 6 248) "8. Localisation. Ouverts d'un topos") ;; (find-sga41page (+ 6 254) "9. Sous-topos et recollement de topos") ;; (find-sga41page (+ 6 253) "Exercice 8.8. -- (Morphismes dominants de topos).") ;; (find-sga41text (+ 6 253) "Exercice 8.8. -- (Morphismes dominants de topos).") ;; (find-sga41page (+ 6 297) "10. Faisceaux de morphismes") ;; (find-sga41page (+ 6 301) "11. Topos annelés, localisation dans les topos annelés") ;; (find-sga41page (+ 6 305) "12. Opération sur les modules") ;; (find-sga41page (+ 6 310) "13. Morphisme de topos annelés") ;; (find-sga41page (+ 6 315) "14. Modules sur un topos défini par recollement") ;; (find-sga41page (+ 6 317) "Références") ;; (find-sga41page (+ 6 319) "Index terminologique") ;; (find-sga41page (+ 6 325) "Index des notations") ;; Translation to English: ;; http://www.christophertownsend.org/ ;; http://www.christophertownsend.org/Documents/sga4_english_v5.pdf ;; (find-fline "$S/http/www.christophertownsend.org/Documents/") (code-pdf-page "sga41t" "$S/http/www.christophertownsend.org/Documents/sga4_english_v5.pdf") (code-pdf-text "sga41t" "$S/http/www.christophertownsend.org/Documents/sga4_english_v5.pdf") ;; (find-sga41tpage) ;; (find-sga41ttext) ;; (find-sga41tpage 3 "Lecture IV" "Topos") ;; (find-sga41ttext 3 "Lecture IV" "Topos") ;; (find-sga41tpage 5 "1 Definition and characterisation of toposes") ;; (find-sga41ttext 5 "1 Definition and characterisation of toposes") ;; (find-sga41tpage 6 "Theorem 1.2 (J. Giraud)") ;; (find-sga41ttext 6 "Theorem 1.2 (J. Giraud)") ;; (find-sga41tpage 12 "2.1 Topos associated with a topological space") ;; (find-sga41ttext 12 "2.1 Topos associated with a topological space") ;; (find-sga41tpage 15 "2.5 The \"large site\" and \"large topos\"") ;; (find-sga41ttext 15 "2.5 The \"large site\" and \"large topos\"") ;; (find-sga41tpage 48 "Buy the editor18 a chocolate medal.") ;; (find-sga41ttext 48 "Buy the editor18 a chocolate medal.") ;; «grothendieck-tohoku» (to ".grothendieck-tohoku") ;; (find-books "__cats/__cats.el" "grothendieck-tohoku") ;; https://golem.ph.utexas.edu/category/2010/09/grothendiecks_tohoku_paper.html ;; http://www.math.mcgill.ca/barr/papers/ ;; http://www.math.mcgill.ca/barr/papers/gk.pdf ;; (find-fline "$S/http/www.math.mcgill.ca/barr/papers/") (code-pdf-page "grothtohokut" "$S/http/www.math.mcgill.ca/barr/papers/gk.pdf") (code-pdf-text "grothtohokut" "$S/http/www.math.mcgill.ca/barr/papers/gk.pdf" 9) ;; (find-grothtohokutpage) ;; (find-grothtohokuttext) ;; (find-grothtohokutpage (+ 9 1) "1 Generalities on abelian categories") ;; (find-grothtohokutpage (+ 9 1) "1.1 Categories") ;; (find-grothtohokutpage (+ 9 4) "1.2 Functors") ;; (find-grothtohokutpage (+ 9 5) "1.3 Additive categories") ;; (find-grothtohokutpage (+ 9 6) "1.4 Abelian categories") ;; (find-grothtohokutpage (+ 9 8) "1.5 Infinite sums and products") ;; (find-grothtohokutpage (+ 9 10) "1.6 Categories of diagrams and permanence properties") ;; (find-grothtohokutpage (+ 9 11) "1.7 Examples of categories defined by diagram schemes") ;; (find-grothtohokutpage (+ 9 13) "1.8 Inductive and projective limits") ;; (find-grothtohokutpage (+ 9 14) "1.9 Generators and cogenerators") ;; (find-grothtohokutpage (+ 9 15) "1.10 Injective and projective objects") ;; (find-grothtohokutpage (+ 9 18) "1.11 Quotient categories") ;; (find-grothtohokutpage (+ 9 20) "2 Homological algebra in abelian categories") ;; (find-grothtohokutpage (+ 9 20) "2.1 -functors and -functors") ;; (find-grothtohokutpage (+ 9 21) "2.2 Universal -functors") ;; (find-grothtohokutpage (+ 9 24) "2.3 Derived functors") ;; (find-grothtohokutpage (+ 9 26) "2.4 Spectral sequences and spectral functors") ;; (find-grothtohokutpage (+ 9 30) "2.5 Resolvent functors") ;; (find-grothtohokutpage (+ 9 36) "3 Cohomology with coefficients in a sheaf") ;; (find-grothtohokutpage (+ 9 36) "3.1 General remarks on sheaves") ;; (find-grothtohokutpage (+ 9 39) "3.2 Definition of the Hp (X, F )") ;; (find-grothtohokutpage (+ 9 40) "3.3 Criteria for Acyclicity") ;; (find-grothtohokutpage (+ 9 43) "3.4 Applications to questions of lifting of structure groups") ;; (find-grothtohokutpage (+ 9 49) "3.5 The exact sequence of a closed subspace") ;; (find-grothtohokutpage (+ 9 50) "3.6 On the cohomological dimension of certain spaces") ;; (find-grothtohokutpage (+ 9 54) "3.7 The Leray spectral sequence of a continuous function") ;; (find-grothtohokutpage (+ 9 57) "3.8 Comparison with Cech cohomology") ;; (find-grothtohokutpage (+ 9 62) "3.9 Acyclicity criteria by the method of covers") ;; (find-grothtohokutpage (+ 9 65) "3.10 Passage to the limit in sheaf cohomology") ;; (find-grothtohokutpage (+ 9 68) "4 Ext of sheaves of modules") ;; (find-grothtohokutpage (+ 9 68) "4.1 The functors HomO (A, B) and HomO (A, B)") ;; (find-grothtohokutpage (+ 9 71) "4.2 The functors ExtpO (X; A, B) and ExtpO (A, B)") ;; (find-grothtohokutpage (+ 9 75) "4.3 Case of a constant sheaf of rings") ;; (find-grothtohokutpage (+ 9 78) "4.4 Case of sheaves with an operator group") ;; (find-grothtohokutpage (+ 9 81) "5 Cohomological study of operator spaces") ;; (find-grothtohokutpage (+ 9 81) "5.1 Generalities on G-sheaves") ;; (find-grothtohokutpage (+ 9 85) "5.2 The functors H n (X; G, A) and Hn (G, A)") ;; (find-grothtohokutpage (+ 9 90) "5.3 Case of a discontinuous group of homeomorphisms") ;; (find-grothtohokutpage (+ 9 92) "5.4 Transformation of the first spectral sequence") ;; (find-grothtohokutpage (+ 9 94) "5.5 Computation of the H n (X; G, A) using covers") ;; (find-grothtohokutpage (+ 9 101) "5.6 The groups ExtnO,G (X; A, B)") ;; (find-grothtohokutpage (+ 9 107) "5.7 Introduction of families") ;; In French: ;; http://kolmogorov.unex.es/~navarro/res/ ;; http://kolmogorov.unex.es/~navarro/res/tohoku.pdf (code-pdf-page "grothtohoku" "$S/http/kolmogorov.unex.es/~navarro/res/tohoku.pdf") (code-pdf-text "grothtohoku" "$S/http/kolmogorov.unex.es/~navarro/res/tohoku.pdf") ;; (find-grothtohokupage 1) ;; (find-grothtohokutpage 3 "Contents") ;; (find-grothtohokutpage (+ 9 1) "Index") ;; (find-grothtohokuttext "") ;; «grothendieck-fga» (to ".grothendieck-fga") ;; "Fondements de la Géométrie Algébrique", Séminaire Bourbaki (1957-1962) ;; http://matematicas.unex.es/~navarro/res/ ;; http://matematicas.unex.es/~navarro/res/fga.pdf (code-pdf-page "grothendieckfga" "$S/http/matematicas.unex.es/~navarro/res/fga.pdf") ;; (find-grothendieckfgapage) ;; (find-grothendieckfgapage 2 "Table des Matières") ;; (find-grothendieckfgapage 97 "195-01") ;; «grothendieck-sb» (to ".grothendieck-sb") ;; Séminaire Bourbaki, années 1958/59 - 1959/60, exposé 195: ;; "Technique de descente et théorèmes d'existence en géométrie algébriques. ;; II. Le théorème d'existence en théorie formelle des modules" ;; http://www.numdam.org/item/SB_1958-1960__5__369_0/ ;; http://www.numdam.org/article/SB_1958-1960__5__369_0.pdf ;; (find-fline "$S/http/www.numdam.org/article/") (code-pdf-page "grothendiecksbexp195" "$S/http/www.numdam.org/article/SB_1958-1960__5__369_0.pdf") (code-pdf-text "grothendiecksbexp195" "$S/http/www.numdam.org/article/SB_1958-1960__5__369_0.pdf") ;; (find-grothendiecksbexp195page) ;; (find-grothendiecksbexp195text) ;; (find-grothendiecksbexp195page (+ -367 369) "pleinement fidèle") ;; (find-grothendiecksbexp195text (+ -367 369) "pleinement fidèle") ;; https://math.stackexchange.com/questions/53656/what-is-the-origin-of-the-expression-yoneda-lemma ;; «guitart» (to ".guitart") ;; https://webusers.imj-prg.fr/~rene.guitart/ ;; http://rene.guitart.pagesperso-orange.fr/publications.html ;; http://www.numdam.org/search/guitart-q/ ;; «guitart-slfd» (to ".guitart-slfd") ;; (find-books "__cats/__cats.el" "guitart-slfd") ;; "Sur le foncteur diagramme" ;; http://archive.numdam.org/article/CTGDC_1973__14_2_153_0.pdf (code-pdf-page "guitartslfd" "$S/http/archive.numdam.org/article/CTGDC_1973__14_2_153_0.pdf") (code-pdf-text "guitartslfd" "$S/http/archive.numdam.org/article/CTGDC_1973__14_2_153_0.pdf" 1) ;; (find-guitartslfdpage) ;; (find-guitartslfdtext) ;; (find-guitartslfdpage (+ 1 29) "SUR LE FONCTEUR DIAGRAMME") ;; (find-guitartslfdtext (+ 1 29) "SUR LE FONCTEUR DIAGRAMME") ;; "Tenseurs et Machines" ;; http://www.numdam.org/article/CTGDC_1980__21_1_5_0.pdf (code-pdf-page "guitarttm" "$S/http/www.numdam.org/article/CTGDC_1980__21_1_5_0.pdf") (code-pdf-text "guitarttm" "$S/http/www.numdam.org/article/CTGDC_1980__21_1_5_0.pdf") ;; (find-guitarttmpage) ;; (find-guitarttmtext) ;; "Qu'est-ce que la logique dans une catégorie?" ;; Cahiers de topologie et géométrie différentielle catégoriques, tome 23, no 2 (1982), p. 115-148 ;; http://www.numdam.org/article/CTGDC_1982__23_2_115_0.pdf (code-pdf-page "guitartqqll" "$S/http/www.numdam.org/article/CTGDC_1982__23_2_115_0.pdf") (code-pdf-text "guitartqqll" "$S/http/www.numdam.org/article/CTGDC_1982__23_2_115_0.pdf") ;; (find-guitartqqllpage) ;; (find-guitartqqlltext) ;; "Existence de diagrammes localement libres" ;; Guitart, R.; Lair, C. ;; Diagrammes, Volume 6 (1981), Talk no. 4, 13 p. ;; http://www.numdam.org/item/DIA_1981__6__A4_0/ ;; «hadzihasanovic» (to ".hadzihasanovic") ;; (find-books "__cats/__cats.el" "hadzihasanovic") ;; https://www.irif.fr/~ahadziha/ ;; https://www.irif.fr/~ahadziha/teaching.html ;; Amar Hadzihasanovic: "Category theory and diagrammatic reasoning" (slides) ;; https://www.irif.fr/~ahadziha/notes/ct2019_lecture4.pdf ;; https://www.irif.fr/~ahadziha/notes/ct2019_lecture7.pdf (code-pdf-page "hadzihactdr4" "$S/https/www.irif.fr/~ahadziha/notes/ct2019_lecture4.pdf") (code-pdf-text "hadzihactdr4" "$S/https/www.irif.fr/~ahadziha/notes/ct2019_lecture4.pdf") ;; (find-hadzihactdr4page) ;; (find-hadzihactdr4text) ;; (find-hadzihactdr4page 14 "The theory of Hopf algebras") ;; (find-hadzihactdr4text 14 "The theory of Hopf algebras") (code-pdf-page "hadzihactdr7" "$S/https/www.irif.fr/~ahadziha/notes/ct2019_lecture7.pdf") (code-pdf-text "hadzihactdr7" "$S/https/www.irif.fr/~ahadziha/notes/ct2019_lecture7.pdf") ;; (find-hadzihactdr7page) ;; (find-hadzihactdr7text) ;; (find-hadzihactdr7page 1 "Adjunctions, monads and comonads") ;; (find-hadzihactdr7text 1 "Adjunctions, monads and comonads") ;; ;; Amar Hadzihasanovic: "The smash product of monoidal theories" ;; https://arxiv.org/abs/2101.10361 ;; https://arxiv.org/pdf/2101.10361.pdf (code-pdf-page "hadzismash" "$S/https/arxiv.org/pdf/2101.10361.pdf") (code-pdf-text "hadzismash" "$S/https/arxiv.org/pdf/2101.10361.pdf") ;; (find-hadzismashpage) ;; (find-hadzismashtext) ;; «hazratpour» (to ".hazratpour") ;; (find-books "__cats/__cats.el" "hazratpour") ;; (find-LATEX "catsem-ab.bib" "bib-Hazratpour") ;; Sina Hazratpour: "A logical study of some 2-categorical aspects of Topos Theory" ;; http://www1.maths.leeds.ac.uk/~pmtsh/ ;; http://www1.maths.leeds.ac.uk/~pmtsh/files/Hazratpour2019PhD.pdf (code-pdf-page "hazratpourphd" "$S/http/www1.maths.leeds.ac.uk/~pmtsh/files/Hazratpour2019PhD.pdf") (code-pdf-text "hazratpourphd" "$S/http/www1.maths.leeds.ac.uk/~pmtsh/files/Hazratpour2019PhD.pdf" 10) ;; (find-hazratpourphdpage) ;; (find-hazratpourphdtext) ;; (find-hazratpourphdpage 9 "Contents") ;; (find-hazratpourphdtext 9 "Contents") ;; (find-hazratpourphdpage (+ 10 6) "consisting of only one sort N") ;; (find-hazratpourphdtext (+ 10 6) "consisting of only one sort N") ;; (find-hazratpourphdpage (+ 10 281) "A.5 String diagrams for 2-categories") ;; (find-hazratpourphdtext (+ 10 281) "A.5 String diagrams for 2-categories") ;; (find-hazratpourphdpage (+ 10 281) "pasting diagrams") ;; (find-hazratpourphdtext (+ 10 281) "pasting diagrams") ;; (find-hazratpourphdpage (+ 10 315) "List of References") ;; (find-hazratpourphdtext (+ 10 315) "List of References") ;; (find-hazratpourphdpage (+ 10 281)) ;; (find-hazratpourphdtext (+ 10 281)) ;; https://sinhp.github.io/research/ ;; https://sinhp.github.io/files/phil/phil-maths/reflections-mathstr-understanding.pdf (code-pdf-page "hazratpourrefl1" "$S/https/sinhp.github.io/files/phil/phil-maths/reflections-mathstr-understanding.pdf") (code-pdf-text "hazratpourrefl1" "$S/https/sinhp.github.io/files/phil/phil-maths/reflections-mathstr-understanding.pdf") ;; (find-hazratpourrefl1page) ;; (find-hazratpourrefl1text) ;; https://sinhp.github.io/scribbling/2017-10-24-Lawevere-Tierney-topologies ;; «haeusler-finct» (to ".haeusler-finct") ;; Edward Hermann Haeusler: "Finiteness and Computation in Toposes" ;; (find-books "__cats/__cats.el" "haeusler-finct") ;; https://arxiv.org/abs/1603.00978 ;; https://arxiv.org/pdf/1603.00978.pdf (code-pdf-page "haeuslerfinct" "$S/https/arxiv.org/pdf/1603.00978.pdf") (code-pdf-text "haeuslerfinct" "$S/https/arxiv.org/pdf/1603.00978.pdf") ;; (find-haeuslerfinctpage) ;; (find-haeuslerfincttext) ;; «heijltjes» (to ".heijltjes") ;; https://arxiv.org/abs/2212.08177 ;; https://arxiv.org/pdf/2212.08177.pdf ;; Willem Heijltjes: "The Functional Machine Calculus" (code-pdf-page "thefmc" "$S/https/arxiv.org/pdf/2212.08177.pdf") (code-pdf-text "thefmc" "$S/https/arxiv.org/pdf/2212.08177.pdf") ;; (find-thefmcpage) ;; (find-thefmctext) ;; «heller-tierney» (to ".heller-tierney") ;; (find-books "__cats/__cats.el" "heller-tierney") ;; (find-LATEX "catsem-u.bib" "bib-HellerTierney") ;; Contains: (find-books "__cats/__cats.el" "freyd76") (code-pdf-page "hellertierney" "~/books/__cats/heller_tierney__algebra_topology_and_category_theory.pdf") (code-pdf-text "hellertierney" "~/books/__cats/heller_tierney__algebra_topology_and_category_theory.pdf" 1) ;; (find-hellertierneypage) ;; (find-hellertierneypage 1 "Contents") ;; (find-hellertierneypage (+ 6 1) "Auslander") ;; (find-hellertierneypage (+ 5 19) "Chen") ;; (find-hellertierneypage (+ 5 33) "Cheng / Mitchell") ;; (find-hellertierneypage (+ 5 45) "Dyer / Vasquez") ;; (find-hellertierneypage (+ 5 55) "Freyd") ;; (find-hellertierneypage (+ 4 63) "Gray") ;; (find-hellertierneypage (+ 4 77) "Husemoller") ;; (find-hellertierneypage (+ 4 95) "Kan") ;; (find-hellertierneypage (+ 3 101) "Lawvere: Variable quantites and variable structures in topoi") ;; (find-hellertierneypage (+ 2 133) "MacLane") ;; (find-hellertierneypage (+ 2 145) "Moore") ;; (find-hellertierneypage (+ 2 149) "Rhodes / Tilson") ;; (find-hellertierneypage (+ 2 169) "Rinehart / Rosenberg") ;; (find-hellertierneypage (+ 2 181) "Rosenberg / Stafford") ;; (find-hellertierneypage (+ 2 189) "Tierney: On the spectrum of a ringed topos") ;; (find-hellertierneypage (+ 2 211) "Tierney: forcing topologies and classifying topoi") ;; (find-hellertierneypage (+ 1 221) "Published works of Samuel Eilenberg") ;; (find-hellertierneytext "") ;; «hellman-sommaruga» (to ".hellman-sommaruga") ;; (find-books "__cats/__cats.el" "hellman-sommaruga") (code-pdf-page "foundconstrmath" "~/books/__cats/hellman_sommaruga__foundational_theories_of_classical_and_constructive_mathematics.pdf") (code-pdf-text "foundconstrmath" "~/books/__cats/hellman_sommaruga__foundational_theories_of_classical_and_constructive_mathematics.pdf" 1) ;; (find-foundconstrmathpage) ;; (find-foundconstrmathpage 8 "Contents") ;; (find-foundconstrmathtext 8 "Contents") ;; (find-foundconstrmathpage (+ 13 1) "Index") ;; (find-foundconstrmathpage (+ 13 311) "Index") ;; (find-foundconstrmathtext "") ;; «hemelaer» (to ".hemelaer") ;; (find-books "__cats/__cats.el" "hemelaer") ;; (find-es "math" "presheaves-calc") ;; https://jhemelae.github.io/images/ ;; https://jhemelae.github.io/images/Presheaves-Calc.pdf ;; https://www.uantwerpen.be/en/staff/jens-hemelaer/ ;; https://arxiv.org/pdf/1811.10039.pdf ;; «hemelaer-gtposets» (to ".hemelaer-gtposets") ;; https://arxiv.org/abs/1811.10039 ;; https://arxiv.org/pdf/1811.10039.pdf (code-pdf-page "hemegtposets" "$S/https/arxiv.org/pdf/1811.10039.pdf") (code-pdf-text "hemegtposets" "$S/https/arxiv.org/pdf/1811.10039.pdf") ;; (find-hemegtposetspage) ;; (find-hemegtposetstext) ;; «hemelaer-rogers» (to ".hemelaer-rogers") ;; (find-books "__cats/__cats.el" "hemelaer-rogers") ;; Jens Hemelaer/Morgan Rogers: "Monoid Properties as Invariants of Toposes of Monoid Actions" (2020) ;; https://arxiv.org/abs/2004.10513 ;; https://arxiv.org/pdf/2004.10513.pdf (code-pdf-page "hemelaerrogers" "$S/https/arxiv.org/pdf/2004.10513.pdf") (code-pdf-text "hemelaerrogers" "$S/https/arxiv.org/pdf/2004.10513.pdf") ;; (find-hemelaerrogerspage) ;; (find-hemelaerrogerstext) ;; «himmel» (to ".himmel") ;; (find-books "__cats/__cats.el" "himmel") ;; Markus Himmel: "Diagram Chasing in Interactive Theorem Proving" ;; https://pp.ipd.kit.edu/uploads/publikationen/himmel20bachelorarbeit.pdf ;; (find-fline "$S/https/pp.ipd.kit.edu/uploads/publikationen/") (code-pdf-page "himmeldiagch" "$S/https/pp.ipd.kit.edu/uploads/publikationen/himmel20bachelorarbeit.pdf") (code-pdf-text "himmeldiagch" "$S/https/pp.ipd.kit.edu/uploads/publikationen/himmel20bachelorarbeit.pdf") ;; (find-himmeldiagchpage) ;; (find-himmeldiagchtext) ;; (find-himmeldiagchpage 3 "Contents") ;; (find-himmeldiagchtext 3 "Contents") ;; (find-himmeldiagchpage 19 "3.2. A formal proof of the four lemma") ;; (find-himmeldiagchtext 19 "3.2. A formal proof of the four lemma") ;; «hofstra-scott» (to ".hofstra-scott") ;; (find-books "__cats/__cats.el" "hofstra-scott") ;; Pieter Hofstra and Philip Scott: "Aspects of Categorical Recursion Theory" (2020) ;; https://arxiv.org/abs/2001.05778 ;; https://arxiv.org/pdf/2001.05778.pdf (code-pdf-page "hofstrascott" "$S/https/arxiv.org/pdf/2001.05778.pdf") (code-pdf-text "hofstrascott" "$S/https/arxiv.org/pdf/2001.05778.pdf") ;; (find-hofstrascottpage) ;; (find-hofstrascotttext) ;; (find-hofstrascottpage 2 "1. Introduction") ;; (find-hofstrascottpage 2 "1.1. On Lambek's Questions") ;; (find-hofstrascottpage 3 "1.2. General Notation and Background") ;; (find-hofstrascottpage 3 "2. What is a computable function?") ;; (find-hofstrascottpage 4 "2.1. The primitive recursive functions") ;; (find-hofstrascottpage 5 "2.2. The computable functions") ;; (find-hofstrascottpage 5 "2.3. Some Newer Models of Computability") ;; (find-hofstrascottpage 6 "3. Lambek's Categorical Proof Theory") ;; (find-hofstrascottpage 6 "3.1. A brief history") ;; (find-hofstrascottpage 7 "3.2. Internal Languages and free categories") ;; (find-hofstrascottpage 8 "3.3. CCCs and the Curry-Howard-Lambek correspondence") ;; (find-hofstrascottpage 10 "3.4. Elementary toposes and HAH") ;; (find-hofstrascottpage 12 "4. What are computable functions in categories?") ;; (find-hofstrascottpage 12 "4.1. Natural Numbers Objects and Prim") ;; (find-hofstrascottpage 14 "4.2. Representability") ;; (find-hofstrascottpage 15 "4.3. Going beyond the primitive recursive functions: free CCCs") ;; (find-hofstrascottpage 16 "4.4. Some properties of the free topos") ;; (find-hofstrascottpage 17 "4.5. C-monoids and Untyped Lambda Calculi") ;; (find-hofstrascottpage 18 "4.6. Plotkin's characterization of Kleene's µ-recursion") ;; (find-hofstrascottpage 19 "5. Abstract Computability") ;; (find-hofstrascottpage 19 "5.1. Categories of Partial Maps") ;; (find-hofstrascottpage 20 "5.2. Turing Categories") ;; (find-hofstrascottpage 21 "5.3. Computable maps and PCAs") ;; (find-hofstrascottpage 23 "6. Realizability") ;; (find-hofstrascottpage 23 "6.1. Kleene Realizability") ;; (find-hofstrascottpage 24 "6.2. Realizability Toposes") ;; (find-hofstrascottpage 25 "6.3. PCAs and Toposes") ;; (find-hofstrascottpage 26 "7. Other Directions") ;; (find-hofstrascottpage 27 "7.1. Traced Categories") ;; (find-hofstrascottpage 27 "7.2. Typed PCAs") ;; (find-hofstrascottpage 28 "7.3. Computation at higher types") ;; (find-hofstrascottpage 29 "7.4. Higher-order computation in toposes") ;; (find-hofstrascottpage 30 "7.5. Complexity Theory") ;; (find-hofstrascottpage 31 "Conclusion") ;; (find-hofstrascottpage 31 "References") ;; «hu-carette» (to ".hu-carette") ;; (find-books "__cats/__cats.el" "hu-carette") ;; (find-LATEX "catsem-slides.bib" "bib-HuCarette") ;; Hu/Carette: "Formalizing Category Theory in Agda" ;; https://arxiv.org/abs/2005.07059 ;; https://arxiv.org/pdf/2005.07059.pdf (code-pdf-page "fctinagda" "$S/https/arxiv.org/pdf/2005.07059.pdf") (code-pdf-text "fctinagda" "$S/https/arxiv.org/pdf/2005.07059.pdf") ;; (find-fctinagdapage) ;; (find-fctinagdatext) ;; «huber» (to ".huber") ;; (find-books "__cats/__cats.el" "huber") ;; https://link.springer.com/article/10.1007%2FBF01396534 (code-pdf-page "huber1961" "~/books/__cats/huber__homotopy_theory_in_general_categories.pdf") (code-pdf-text "huber1961" "~/books/__cats/huber__homotopy_theory_in_general_categories.pdf" -360) ;; (find-huber1961page) ;; (find-huber1961page (+ -360 361) "Introduction") ;; (find-huber1961page (+ -360 364) "2. Definition of the Standard Construction") ;; (find-huber1961text (+ -360 364) "2. Definition of the Standard Construction") ;; (find-huber1961page (+ -360 378) "7. Adjoint Constructions") ;; (find-huber1961text (+ -360 378) "7. Adjoint Constructions") ;; (find-huber1961text "") ;; «hughes» (to ".hughes") ;; (find-books "__cats/__cats.el" "hughes") ;; http://boole.stanford.edu/~dominic/papers/ ;; https://arxiv.org/pdf/1906.11236.pdf First-order proofs without syntax ;; (find-fline "$S/https/arxiv.org/pdf/") (code-pdf-page "hughesfopws" "$S/https/arxiv.org/pdf/1906.11236.pdf") (code-pdf-text "hughesfopws" "$S/https/arxiv.org/pdf/1906.11236.pdf") ;; (find-hughesfopwspage) ;; (find-hughesfopwstext) ;; «hughes-pavlovic» (to ".hughes-pavlovic") ;; (find-books "__cats/__cats.el" "hughes-pavlovic") ;; https://arxiv.org/abs/2004.07353 ;; https://arxiv.org/pdf/2004.07353.pdf ;; "The nucleus: Mining concepts from adjunctions" (2020) ;; https://categorytheory.zulipchat.com/#narrow/stream/229111-general/topic/Introduce.20Yourself!/near/194575438 ;; https://golem.ph.utexas.edu/category/2013/08/the_nucleus_of_a_profunctor_so.html (code-pdf-page "hughespavlovic" "$S/https/arxiv.org/pdf/2004.07353.pdf") (code-pdf-text "hughespavlovic" "$S/https/arxiv.org/pdf/2004.07353.pdf") ;; (find-hughespavlovicpage) ;; (find-hughespavlovictext) ;; (find-hughespavlovicpage (+ 0 4) "1 Introduction") ;; (find-hughespavlovicpage (+ 0 4) "1.1 Definition") ;; (find-hughespavlovicpage (+ 0 4) "1.2 Background") ;; (find-hughespavlovicpage (+ 0 5) "1.3 Result") ;; (find-hughespavlovicpage (+ 0 6) "1.4 Schema") ;; (find-hughespavlovicpage (+ 0 8) "1.5 Summary of the paper") ;; (find-hughespavlovicpage (+ 0 8) "2 Example 1: Concept lattices and poset bicompletions") ;; (find-hughespavlovicpage (+ 0 8) "2.1 From context matrices to concept lattices, intuitively") ;; (find-hughespavlovicpage (+ 0 10) "2.2 Formalizing concept analysis") ;; (find-hughespavlovicpage (+ 0 12) "2.3 Summary") ;; (find-hughespavlovicpage (+ 0 13) "3 Example 2: Nuclei in linear algebra") ;; (find-hughespavlovicpage (+ 0 13) "3.1 Matrices and linear operators") ;; (find-hughespavlovicpage (+ 0 14) "3.2 Nucleus as an automorphism of the rank space of a linear operator") ;; (find-hughespavlovicpage (+ 0 15) "3.2.1 Hilbert space adjoints: Notation and construction") ;; (find-hughespavlovicpage (+ 0 15) "3.2.2 Factorizations") ;; (find-hughespavlovicpage (+ 0 16) "3.3 Nucleus as matrix diagonalization") ;; (find-hughespavlovicpage (+ 0 18) "3.4 Summary") ;; (find-hughespavlovicpage (+ 0 19) "4 Example 3: Nuclear Chu spaces") ;; (find-hughespavlovicpage (+ 0 19) "4.1 Abstract matrices") ;; (find-hughespavlovicpage (+ 0 19) "4.1.1 Posets") ;; (find-hughespavlovicpage (+ 0 20) "4.1.2 Linear spaces") ;; (find-hughespavlovicpage (+ 0 20) "4.1.3 Categories") ;; (find-hughespavlovicpage (+ 0 20) "4.2 Representability and completions") ;; (find-hughespavlovicpage (+ 0 21) "4.3 Abstract adjunctions") ;; (find-hughespavlovicpage (+ 0 21) "4.3.1 The Chu-construction") ;; (find-hughespavlovicpage (+ 0 21) "4.3.2 Representing matrices as adjunctions") ;; (find-hughespavlovicpage (+ 0 21) "4.3.3 Separated and extensional adjunctions") ;; (find-hughespavlovicpage (+ 0 23) "4.4 What does the separated-extensional nucleus capture in examples 4.1?") ;; (find-hughespavlovicpage (+ 0 23) "4.4.1 Posets") ;; (find-hughespavlovicpage (+ 0 23) "4.4.2 Linear spaces") ;; (find-hughespavlovicpage (+ 0 23) "4.4.3 Categories") ;; (find-hughespavlovicpage (+ 0 23) "4.5 Discussion: Combining factorization-based approaches") ;; (find-hughespavlovicpage (+ 0 24) "4.5.1 How nuclei depend on factorizations?") ;; (find-hughespavlovicpage (+ 0 25) "4.5.2 Exercise") ;; (find-hughespavlovicpage (+ 0 25) "4.5.3 Workout") ;; (find-hughespavlovicpage (+ 0 28) "4.6 Towards the categorical nucleus") ;; (find-hughespavlovicpage (+ 0 30) "5 Example : Nuclear adjunctions, monads, comonads") ;; (find-hughespavlovicpage (+ 0 30) "5.1 The categories") ;; (find-hughespavlovicpage (+ 0 31) "5.2 Assumption: Idempotents split.") ;; (find-hughespavlovicpage (+ 0 32) "5.3 Tools") ;; (find-hughespavlovicpage (+ 0 32) "5.3.1 Extending matrices to adjunctions") ;; (find-hughespavlovicpage (+ 0 33) "5.3.2 Comprehending presheaves as discrete fibrations") ;; (find-hughespavlovicpage (+ 0 34) "5.4 The functors") ;; (find-hughespavlovicpage (+ 0 34) "5.4.1 The functor MA : Mat - Adj") ;; (find-hughespavlovicpage (+ 0 34) "5.4.2 From adjunctions to monads and comonads, and back") ;; (find-hughespavlovicpage (+ 0 35) "6 Theorem") ;; (find-hughespavlovicpage (+ 0 37) "7 Propositions") ;; (find-hughespavlovicpage (+ 0 49) "8 Simple nucleus") ;; (find-hughespavlovicpage (+ 0 55) "9 Little nucleus") ;; (find-hughespavlovicpage (+ 0 60) "10 Example 0: The Kan adjunction") ;; (find-hughespavlovicpage (+ 0 61) "10.1 Simplices and the simplex category") ;; (find-hughespavlovicpage (+ 0 62) "10.2 Kan adjunctions and extensions") ;; (find-hughespavlovicpage (+ 0 63) "10.3 Troubles with localizations") ;; (find-hughespavlovicpage (+ 0 66) "11 Further directions and dimensions") ;; (find-hughespavlovicpage (+ 0 66) "11.1 Concrete") ;; (find-hughespavlovicpage (+ 0 66) "11.2 What we did not do") ;; (find-hughespavlovicpage (+ 0 67) "11.3 What needs to be done") ;; (find-hughespavlovicpage (+ 0 73) "Appendices") ;; (find-hughespavlovicpage (+ 0 73) "A Overview of factorizations") ;; (find-hughespavlovicpage (+ 0 75) "B Adjunctions, monads, comonads") ;; (find-hughespavlovicpage (+ 0 75) "B.1 Matrices (a.k.a. distributors, profunctors, bimodules)") ;; (find-hughespavlovicpage (+ 0 75) "B.2 Adjunctions") ;; (find-hughespavlovicpage (+ 0 76) "B.3 Monads") ;; (find-hughespavlovicpage (+ 0 76) "B.4 Comonads") ;; (find-hughespavlovicpage (+ 0 76) "B.5 The initial (Kleisli) resolutions KM : Mnd - Adj and KC : Cmn - Adj") ;; (find-hughespavlovicpage (+ 0 80) "B.6 The final (Eilenberg-Moore) resolutions EM : Mnd - Adj and EC : Cmn - Adj") ;; (find-hughespavlovicpage (+ 0 80) "C Split equalizers") ;; «hyland» (to ".hyland") ;; https://www.dpmms.cam.ac.uk/~martin/ ;; https://www.dpmms.cam.ac.uk/~martin/Research/research.html ;; https://undergroundmathematics.org/ ;; ;; https://www.dpmms.cam.ac.uk/~martin/Research/Slides/ct2007.pdf (code-pdf-page "hylandfibsinlogic" "$S/https/www.dpmms.cam.ac.uk/~martin/Research/Slides/ct2007.pdf") (code-pdf-text "hylandfibsinlogic" "$S/https/www.dpmms.cam.ac.uk/~martin/Research/Slides/ct2007.pdf") ;; (find-hylandfibsinlogicpage) ;; (find-hylandfibsinlogictext) ;; «hyland-pitts» (to ".hyland-pitts") ;; (find-books "__cats/__cats.el" "hyland-pitts") ;; (find-LATEX "catsem-u.bib" "bib-HylandPitts") ;; https://www.dpmms.cam.ac.uk/~martin/Research/Oldpapers/hp89.pdf (code-pdf-page "hyland-pitts" "$S/https/www.dpmms.cam.ac.uk/~martin/Research/Oldpapers/hp89.pdf") (code-pdf-text "hyland-pitts" "$S/https/www.dpmms.cam.ac.uk/~martin/Research/Oldpapers/hp89.pdf") ;; (find-hyland-pittspage) ;; (find-hyland-pittstext) ;; «isaev» (to ".isaev") ;; (find-books "__cats/__cats.el" "isaev") ;; https://research.jetbrains.org/researchers/valis ;; «isham» (to ".isham") ;; (find-books "__cats/__cats.el" "isham") (code-pdf-page "isham" "~/books/__cats/isham__modern_differential_geometry_for_physicists.pdf") (code-pdf-text "isham" "~/books/__cats/isham__modern_differential_geometry_for_physicists.pdf" 1) ;; (find-ishampage) ;; (find-ishampage 10 "Contents") ;; (find-ishampage (+ 15 54) "1.4.12 Frames and Locales") ;; (find-ishamtext "") ;; «jacobs» (to ".jacobs") ;; (find-books "__cats/__cats.el" "jacobs") ;; (find-LATEX "catsem-u.bib" "bib-Jacobs") ;; (find-angg ".emacs.papers" "jacobs") ;; https://www.cs.ru.nl/B.Jacobs/ ;; https://www.cs.ru.nl/B.Jacobs/PAPERS/index.html ;; http://www.cs.ru.nl/B.Jacobs/CLT/bookinfo.html ;; http://www.math.mcgill.ca/rags/jacobs.html ;; https://people.mpi-sws.org/~dreyer/courses/catlogic/jacobs.pdf (code-pdf-page "jacobs" "~/books/__cats/jacobs__categorical_logic_and_type_theory.pdf") (code-pdf-text "jacobs" "~/books/__cats/jacobs__categorical_logic_and_type_theory.pdf" 20) ;; (find-jacobspage) ;; (find-jacobstext "") ;; (find-jacobspage 7 "Preface") ;; (find-jacobspage 9 "Contents") ;; (find-jacobspage 13 "Preliminaries") ;; (find-jacobspage (+ 19 1) "0. Prospectus") ;; (find-jacobspage (+ 19 1) "0.1. Logic, type theory, and fibred category theory") ;; (find-jacobspage (+ 19 6) "The most important adjunctions are:") ;; (find-jacobspage (+ 19 11) "Pred") ;; (find-jacobspage (+ 19 11) "0.2. The logic and type theory of sets") ;; (find-jacobspage (+ 19 27) "cartesian lifting") ;; (find-jacobspage (+ 19 19) "1. Introduction to fibred category theory") ;; (find-jacobspage (+ 19 19) "simple slice categories") ;; (find-jacobspage (+ 19 20) "1.1. Fibrations") ;; (find-jacobspage (+ 19 22) "Sets^\\to") ;; (find-jacobspage (+ 19 23) "cod: Sets^\\to -> Sets") ;; (find-jacobspage (+ 19 26) "p: E -> B") ;; (find-jacobspage (+ 19 30) "1.1.5." "Pullback lemmas") ;; (find-jacobspage (+ 19 31) "1.2. Some concrete examples: sets, ct/-sets and PERs") ;; (find-jacobspage (+ 19 40) "1.3. Some general examples") ;; (find-jacobspage (+ 19 41) "simple fibration") ;; (find-jacobspage (+ 19 47) "1.4. Cloven and split fibrations") ;; (find-jacobspage (+ 19 56) "1.5. Change-of-base and composition for fibrations") ;; (find-jacobspage (+ 19 64) "1.6. Fibrations of signatures") ;; (find-jacobspage (+ 19 72) "1.7. Categories of fibrations") ;; (find-jacobspage (+ 19 80) "1.8. Fibrewise structure and fibred adjunctions") ;; (find-jacobspage (+ 19 93) "1.9. Fibred products and coproducts") ;; (find-jacobspage (+ 19 107) "1.10. Indexed categories") ;; (find-jacobspage (+ 19 107) "Grothendieck construction") ;; (find-jacobspage (+ 19 119) "2. Simple type theory") ;; (find-jacobspage (+ 19 120) "2.1. The basic calculus of types and terms") ;; (find-jacobspage (+ 19 121) "context") ;; (find-jacobspage (+ 19 121) "basic rules") ;; (find-jacobspage (+ 19 126) "2.2. Functorial semantics") ;; (find-jacobspage (+ 19 133) "2.3. Exponents, products and coproducts") ;; (find-jacobspage (+ 19 146) "2.4. Semantics of simple type theories") ;; (find-jacobspage (+ 19 154) "2.5. Semantics of the untyped lambda calculus as a corollary") ;; (find-jacobspage (+ 19 157) "2.6. Simple parameters") ;; (find-jacobspage (+ 19 169) "3. Equational Logic") ;; (find-jacobspage (+ 19 170) "3.1. Logics") ;; (find-jacobspage (+ 19 172) "substitution") ;; (find-jacobspage (+ 19 177) "3.2. Specifications and theories in equational logic") ;; (find-jacobspage (+ 19 183) "3.3. Algebraic specifications") ;; (find-jacobspage (+ 19 190) "3.4. Fibred equality") ;; (find-jacobspage (+ 19 201) "3.5. Fibrations for equational logic") ;; (find-jacobspage (+ 19 209) "3.6. Fibred functorial semantics") ;; (find-jacobspage (+ 19 219) "4. First order predicate logic") ;; (find-jacobspage (+ 19 221) "4.1. Signatures, connectives and quantifiers") ;; (find-jacobspage (+ 19 225) "Rules for (many-typed) first order predicate logic") ;; (find-jacobspage (+ 19 230) "mate") ;; (find-jacobspage (+ 19 232) "4.2. Fibrations for first order predicate logic") ;; (find-jacobspage (+ 19 246) "4.3. Functorial interpretation and internal language") ;; (find-jacobspage (+ 19 256) "4.4. Subobject fibrations I: regular categories") ;; (find-jacobspage (+ 19 265) "4.5. Subobject fibrations II: coherent categories and logoses") ;; (find-jacobspage (+ 19 272) "4.6. Subset types") ;; (find-jacobspage (+ 19 282) "4.7. Quotient types") ;; (find-jacobspage (+ 19 290) "4.8. Quotient types, categorically") ;; (find-jacobspage (+ 19 304) "4.9. A logical characterisation of subobject fibrations") ;; (find-jacobspage (+ 19 311) "5. Higher order predicate logic") ;; (find-jacobspage (+ 19 312) "5.1. Higher order signatures") ;; (find-jacobspage (+ 19 321) "5.2. Generic objects") ;; (find-jacobspage (+ 19 330) "5.3. Fibrations for higher order logic") ;; (find-jacobspage (+ 19 334) "topos") ;; (find-jacobspage (+ 19 338) "5.4. Elementary toposes") ;; (find-jacobspage (+ 19 346) "5.5. Colimits, powerobjects and well-poweredness in a topos") ;; (find-jacobspage (+ 19 353) "5.6. Nuclei in a topos") ;; (find-jacobspage (+ 19 360) "5.7. Separated objects and sheaves in a topos") ;; (find-jacobspage (+ 19 368) "5.8. A logical description of separated objects and sheaves") ;; (find-jacobspage (+ 19 373) "6. The effective topos") ;; (find-jacobspage (+ 19 374) "6.1. Constructing a topos from a higher order fibration") ;; (find-jacobspage (+ 19 385) "6.2. The effective topos and its subcategories of sets, w-sets, and PERs") ;; (find-jacobspage (+ 19 393) "6.3. Families of PERs and w-sets over the effective topos") ;; (find-jacobspage (+ 19 398) "6.4. Natural numbers in the effective topos and some associated principles") ;; (find-jacobspage (+ 19 407) "7. Internal category theory ,.") ;; (find-jacobspage (+ 19 408) "7.1. Definition and examples of internal categories") ;; (find-jacobspage (+ 19 414) "7.2. Internal functors and natural transformations") ;; (find-jacobspage (+ 19 421) "7.3. Externalisation") ;; (find-jacobspage (+ 19 430) "7.4. Internal diagrams and completeness") ;; (find-jacobspage (+ 19 441) "8. Polymorphic type theory") ;; (find-jacobspage (+ 19 444) "8.1. Syntax") ;; (find-jacobspage (+ 19 447) "The introduction rules for $\\Pi$ and $\\Sigma$ are") ;; (find-jacobspage (+ 19 454) "8.2. Use of polymorphic type theory") ;; (find-jacobspage (+ 19 463) "8.3. Naive set theoretic semantics") ;; (find-jacobspage (+ 19 465) "naive set theoretic semantics") ;; (find-jacobspage (+ 19 471) "8.4. Fibrations for polymorphic type theory") ;; (find-jacobspage (+ 19 485) "8.5. Small polymorphic fibrations") ;; (find-jacobspage (+ 19 495) "8.6. Logic over polymorphic type theory") ;; (find-jacobspage (+ 19 509) "9. Advanced fibred category theory") ;; (find-jacobspage (+ 19 510) "9.1. Opfibrations and fibred spans") ;; (find-jacobspage (+ 19 518) "9.2. Logical predicates and relations") ;; (find-jacobspage (+ 19 535) "9.3. Quantification") ;; (find-jacobspage (+ 19 547) "9.4. Category theory over a fibration") ;; (find-jacobspage (+ 19 558) "9.5. Locally small fibrations") ;; (find-jacobspage (+ 19 568) "9.6. Definability") ;; (find-jacobspage (+ 19 581) "10. First order dependent type theory") ;; (find-jacobspage (+ 19 584) "10.1. A calculus of dependent types") ;; (find-jacobspage (+ 19 586) "rules for dependent product" "sum" "and" "equality") ;; (find-jacobspage (+ 19 594) "10.2. Use of dependent types") ;; (find-jacobspage (+ 19 601) "10.3. A term model") ;; (find-jacobspage (+ 19 603) "10.3.1." "The above display maps are" "stable under pullback") ;; (find-jacobspage (+ 19 604) "display" "maps") ;; (find-jacobspage (+ 19 605) "10.3.2." "A unit type") ;; (find-jacobspage (+ 19 606) "10.3.3." "(i) Dependent products") ;; (find-jacobspage (+ 19 606) "10.3.3." "(ii) Weak dependent sums") ;; (find-jacobspage (+ 19 606) "10.3.3." "(iii) And strong dependent sums") ;; (find-jacobspage (+ 19 609) "10.4. Display maps and comprehension categories") ;; (find-jacobspage (+ 19 610) "10.4.1." "display map category") ;; (find-jacobspage (+ 19 611) "Comprehension categories") ;; (find-jacobspage (+ 19 613) "10.4.2. Definition. A comprehension category") ;; (find-jacobspage (+ 19 614) "some important examples of (full) comprehension") ;; (find-jacobspage (+ 19 616) "10.4.7." "comprehension category with unit") ;; (find-jacobspage (+ 19 623) "10.5. Closed comprehension categories") ;; (find-jacobspage (+ 19 637) "10.6. Domain theoretic models of type dependency") ;; (find-jacobspage (+ 19 645) "11. Higher order dependent type theory") ;; (find-jacobspage (+ 19 648) "11.1. Dependent predicate logic") ;; (find-jacobspage (+ 19 653) "11.2. Dependent predicate logic, categorically") ;; (find-jacobspage (+ 19 662) "11.3. Polymorphic dependent type theory") ;; (find-jacobspage (+ 19 674) "11.4. Strong and very strong sum and equality") ;; (find-jacobspage (+ 19 684) "11.5. Full higher order dependent type theory") ;; (find-jacobspage (+ 19 692) "11.6. Full higher order dependent type theory, categorically") ;; (find-jacobspage (+ 19 707) "11.7. Completeness of the category of PERs in the effective topos") ;; (find-jacobspage (+ 19 717) "References") ;; (find-jacobspage (+ 19 735) "Notation Index") ;; (find-jacobspage (+ 19 743) "Subject Index") ;; (find-jacobspage (+ 19 743) "Subject Index" "Beck-Chevalley") ;; (find-jacobspage (+ 19 746) "Subject Index" "comprehension") ;; (find-jacobspage (+ 19 750) "Subject Index" "Frobenius") ;; «jacobs-coalgebra» (to ".jacobs-coalgebra") ;; (find-books "__cats/__cats.el" "jacobs") ;; Also: http://www.cs.ru.nl/B.Jacobs/CLG/JacobsCoalgebraIntro.pdf (code-pdf-page "jacobscoa" "~/books/__cats/jacobs__introduction_to_coalgebra.pdf") (code-pdf-text "jacobscoa" "~/books/__cats/jacobs__introduction_to_coalgebra.pdf" 16) ;; (find-jacobscoapage) ;; (find-jacobscoapage 5 "Contents") ;; (find-jacobscoapage (+ 16 1) "1. Motivation") ;; (find-jacobscoapage (+ 16 1) "1 Motivation") ;; (find-jacobscoapage (+ 16 2) "1.1 Naturalness of Coalgebraic Representations") ;; (find-jacobscoapage (+ 16 6) "1.2 The Power of the Coinduction") ;; (find-jacobscoapage (+ 16 18) "1.3 Generality of Temporal Logic of Coalgebras") ;; (find-jacobscoapage (+ 16 24) "1.4 Abstractness of the Coalgebraic Notions") ;; (find-jacobscoapage (+ 16 33) "2 Coalgebras of Polynomial Functors") ;; (find-jacobscoapage (+ 16 33) "2.1 Constructions on Sets") ;; (find-jacobscoapage (+ 16 48) "2.2 Polynomial Functors and Their Coalgebras") ;; (find-jacobscoapage (+ 16 67) "2.3 Final Coalgebras") ;; (find-jacobscoapage (+ 16 78) "2.4 Algebras") ;; (find-jacobscoapage (+ 16 94) "2.5 Adjunctions, Cofree Coalgebras, Behaviour-Realisation") ;; (find-jacobscoapage (+ 16 114) "3 Bisimulations") ;; (find-jacobscoapage (+ 16 115) "3.1 Relation Lifting, Bisimulations and Congruences") ;; (find-jacobscoapage (+ 16 122) "3.2 Properties of Bisimulations") ;; (find-jacobscoapage (+ 16 131) "3.3 Bisimulations as Spans and Cospans") ;; (find-jacobscoapage (+ 16 142) "3.4 Bisimulations and the Coinduction Proof Principle") ;; (find-jacobscoapage (+ 16 149) "3.5 Process Semantics") ;; (find-jacobscoapage (+ 16 159) "4 Logic, Lifting and Finality") ;; (find-jacobscoapage (+ 16 160) "4.1 Multiset and Distribution Functors") ;; (find-jacobscoapage (+ 16 169) "4.2 Weak Pullbacks") ;; (find-jacobscoapage (+ 16 183) "4.3 Predicates and Relations") ;; (find-jacobscoapage (+ 16 202) "4.4 Relation Lifting, Categorically") ;; (find-jacobscoapage (+ 16 212) "4.5 Logical Bisimulations") ;; (find-jacobscoapage (+ 16 222) "4.6 Existence of Final Coalgebras") ;; (find-jacobscoapage (+ 16 232) "4.7 Polynomial and Analytical Functors") ;; (find-jacobscoapage (+ 16 246) "5 Monads, Comonads and Distributive Laws") ;; (find-jacobscoapage (+ 16 247) "5.1 Monads and Comonads: Definition and Examples") ;; (find-jacobscoapage (+ 16 263) "5.2 Kleisli Categories and Distributive Laws") ;; (find-jacobscoapage (+ 16 280) "5.3 Trace Semantics via Finality in Kleisli Categories") ;; (find-jacobscoapage (+ 16 296) "5.4 Eilenberg­Moore Categories and Distributive Laws") ;; (find-jacobscoapage (+ 16 316) "5.5 Bialgebras and Operational Semantics") ;; (find-jacobscoapage (+ 16 334) "6 Invariants and Assertions") ;; (find-jacobscoapage (+ 16 335) "6.1 Predicate Lifting") ;; (find-jacobscoapage (+ 16 347) "6.2 Invariants") ;; (find-jacobscoapage (+ 16 354) "6.3 Greatest Invariants and Limits of Coalgebras") ;; (find-jacobscoapage (+ 16 363) "6.4 Temporal Logic for Coalgebras") ;; (find-jacobscoapage (+ 16 377) "6.5 Modal Logic for Coalgebras") ;; (find-jacobscoapage (+ 16 391) "6.6 Algebras and Terms") ;; (find-jacobscoapage (+ 16 401) "6.7 Algebras and Assertions") ;; (find-jacobscoapage (+ 16 419) "6.8 Coalgebras and Assertions") ;; (find-jacobscoapage (+ 16 434) "6.9 Coalgebraic Class Specifications") ;; (find-jacobscoapage (+ 16 440) "References") ;; (find-jacobscoapage (+ 16 466) "Definition and Symbol Index") ;; (find-jacobscoapage (+ 16 469) "Subject Index") ;; (find-jacobscoatext "") ;; «jacobs-phd» (to ".jacobs-phd") ;; (find-books "__cats/__cats.el" "jacobs-phd") (code-pdf-page "jacobsphd" "~/books/__cats/jacobs__phd_thesis.pdf") (code-pdf-text "jacobsphd" "~/books/__cats/jacobs__phd_thesis.pdf" 1) ;; (find-jacobsphdpage) ;; (find-jacobsphdpage 1 "Contents") ;; (find-jacobsphdpage (+ 1 189) "Index") ;; (find-jacobsphdtext "") ;; «johnstone» (to ".johnstone") ;; (find-books "__cats/__cats.el" "johnstone") ;; (find-angg ".emacs.papers" "johnstone") ;; ;; «johnstone-topostheory» (to ".johnstone-topostheory") ;; (find-books "__cats/__cats.el" "johnstone-topostheory") (code-pdf-page "topostheory" "~/books/__cats/johnstone__topos_theory.pdf") (code-pdf-text "topostheory" "~/books/__cats/johnstone__topos_theory.pdf") (code-pdf-page "toposthepub" "~/books/__cats/johnstone__topos_theory_epub.pdf") (code-pdf-text "toposthepub" "~/books/__cats/johnstone__topos_theory_epub.pdf") ;; ;; (find-topostheorypage 7 "Contents") ;; (find-topostheorypage (+ 24 6) "0.18. (calculus of right fractions)") ;; (find-topostheorypage (+ 24 76) "3.1. Topologies") ;; (find-toposthepubpage 108 "3.1. Topologies") ;; (find-toposthepubtext 108 "3.1. Topologies") ;; (find-topostheorypage (+ 24 81) "3.2. Sheaves") ;; (find-toposthepubpage 113 "3.2. Sheaves") ;; (find-toposthepubtext 113 "3.2. Sheaves") ;; (find-topostheorypage (+ 24 90) "3.39. Corollary") ;; (find-topostheorypage (+ 24 90) "3.4. sh_j(E) as a Category of Fractions") ;; (find-topostheorypage (+ 24 152) "Mitchell-Benabou") ;; (find-topostheorypage (+ 24 157) "Kripke-Joyal") ;; (find-topostheorypage (+ 24 319) "9.4. The Filter-Power Construction") ;; (find-topostheorypage (+ 24 347) "Bibliography") ;; (find-toposthepubpage 414 "P. Freyd, Aspects of Topoi") ;; (find-toposthepubtext 414 "P. Freyd, Aspects of Topoi") ;; (find-topostheorypage (+ 24 357) "Index of Definitions") ;; (find-topostheorypage (+ 24 361) "Index of Notation") ;; (find-topostheorytext "") ;; ;; «johnstone-stonespaces» (to ".johnstone-stonespaces") (code-pdf-page "stonespaces" "~/books/__cats/johnstone__stone_spaces.pdf") (code-pdf-text "stonespaces" "~/books/__cats/johnstone__stone_spaces.pdf" 20) ;; (find-stonespacespage 4 "Contents") ;; (find-stonespacespage (+ 21 26) "Adjoint Functor Theorem") ;; (find-stonespacestext (+ 21 26) "Adjoint Functor Theorem") ;; (find-stonespacespage (+ 21 27) "complete Boolean algebra") ;; (find-stonespacespage (+ 21 31) "free complete lattice on three generators") ;; (find-stonespacespage (+ 21 34) "The free Heyting algebra on one generator") ;; (find-stonespacestext (+ 21 34) "The free Heyting algebra on one generator") ;; (find-stonespacespage (+ 21 45) "Alexandrov topology") ;; (find-stonespacespage (+ 21 48) "nucleus") ;; (find-stonespacespage (+ 21 53) "every nucleus is expressible as a join") ;; (find-stonespacespage (+ 21 169) "V. 1. A Crash Course in Sheaf Theory") ;; (find-stonespacespage (+ 21 324) "Bibliography") ;; (find-stonespacespage (+ 21 364) "Index of categories") ;; (find-stonespacespage (+ 21 366) "Index of other symbols") ;; (find-stonespacespage (+ 21 368) "Index of Definitions") ;; (find-stonespacestext) ;; ;; «johnstone-elephant» (to ".johnstone-elephant") ;; (find-books "__cats/__cats.el" "johnstone-elephant") ;; (find-angg "LATEX/2017elephant.tex") (code-pdf-page "elephant" "~/books/__cats/johnstone__sketches_of_an_elephant_2vols.pdf") (code-pdf-text "elephant" "~/books/__cats/johnstone__sketches_of_an_elephant_2vols.pdf" 17) ;; (find-elephantpage 13 "Contents") ;; (find-elephantpage 13 "CONTENTS VOLUME \nA") ;; (find-elephanttext 13 "CONTENTS VOLUME \nA") ;; (find-elephantpage (+ 17 3) "A1.1 Preliminary assumptions") ;; (find-elephantpage (+ 17 4) "Lemma 1.1.1") ;; (find-elephantpage (+ 17 6) "Lambek" "Lemma 1.1.4" "initial object (A,\aa)") ;; (find-elephantpage (+ 17 11) "A1.2 Cartesian categories") ;; (find-elephantpage (+ 17 11) "cartesian functor") ;; (find-elephantpage (+ 17 13) "Example A1.2.5" "Sp") ;; (find-elephantpage (+ 17 18) "A1.3 Regular categories") ;; (find-elephantpage (+ 17 19) "cover") ;; (find-elephantpage (+ 17 19) "covering family") ;; (find-elephantpage (+ 17 22) "the covers are exactly the epimorphisms") ;; (find-elephantpage (+ 17 30) "A1.4 Coherent categories") ;; (find-elephantpage (+ 17 44) "A1.5 Cartesian closed categories") ;; (find-elephantpage (+ 17 57) "A1.6 Subobject classifiers") ;; (find-elephantpage (+ 17 68) "A2 Toposes - Basic Theory") ;; (find-elephantpage (+ 17 68) "A2.1 Definition and examples") ;; (find-elephantpage (+ 17 69) "logical functor") ;; (find-elephantpage (+ 17 84) "Example 2.1.3 [The filterquotient construction]") ;; (find-elephantpage (+ 17 85) "A2.2 The monadicity theorem") ;; (find-elephantpage (+ 17 90) "A2.3 The fundamental theorem") ;; (find-elephantpage (+ 17 97) "A2.4 Effectiveness, positivity, and partial maps") ;; (find-elephantpage (+ 17 107) "A2.5 Natural number objects") ;; (find-elephantpage (+ 17 161) "A4 Geometric Morphisms - Basic Theory") ;; (find-elephantpage (+ 17 164) "essential geometric morphism") ;; (find-elephanttext (+ 17 164) "essential geometric morphism") ;; (find-elephantpage (+ 17 184) "A4.3 Cartesian reflectors and sheaves") ;; (find-elephantpage (+ 17 188) "separated") ;; (find-elephantpage (+ 17 195) "A4.4 Local Operators") ;; (find-elephantpage (+ 17 264) "B1.3 Fibred Categories") ;; (find-elephantpage (+ 17 265) "prone") ;; (find-elephantpage (+ 17 471) "C1 Sheaves on a Locale") ;; (find-elephantpage (+ 17 471) "C1.1 Frames and Nuclei") ;; (find-elephantpage (+ 17 490) "neighbourhood filter") ;; (find-elephantpage (+ 17 536) "C2.1 Sites and coverages") ;; (find-elephantpage (+ 17 545) "C2.2 The topos of sheaves") ;; (find-elephantpage (+ 17 552) "Proposition 2.2.7") ;; (find-elephantpage (+ 20 606) "C3 Classes of Geometric Morphisms") ;; (find-elephantpage (+ 20 606) "C3.1 Open maps") ;; (find-elephantpage (+ 20 627) "C3.2 Proper maps") ;; (find-elephantpage (+ 20 648) "C3.3 Locally connected morphisms") ;; (find-elephantpage (+ 20 665) "C3.4 Tidy morphisms") ;; (find-elephantpage (+ 20 684) "C3.5 Atomic morphisms") ;; (find-elephantpage (+ 20 695) "C3.6 Local maps") ;; (find-elephantpage (+ 15 828) "D1.3 First order logic") ;; (find-elephantpage (+ 15 841) "D1.4 Syntactic categories") ;; (find-elephantpage (+ 15 940) "D4.1 Interpreting higher-order logic in a topos") ;; (find-elephantpage (+ 15 951) "D4.2 Lambda-calculus and cartesian-closed categories") ;; (find-elephantpage (+ 15 952) "logic-free") ;; (find-elephantpage (+ 15 963) "D4.3 Toposes as type theories") ;; (find-elephantpage (+ 15 1032) "D4.7.17" "The Dedekind unit interval is a terminal coalgebra") ;; (find-elephantpage (+ 1104 1) "Bibiliography") ;; (find-elephantpage (+ 1104 55) "Index of Notation") ;; (find-elephantpage (+ 1104 61) "General Index") ;; (find-elephantpage (+ 1104 66) "General Index" "Local operator") ;; (find-elephantpage (+ 1104 69) "General Index" "Sheafification") ;; (find-elephantpage (+ 1104 71) "General Index" "Universal closure") ;; (find-elephanttext "") ;; (format "%d-%d" (+ 17 68) (+ 17 129)) ;; (brg "~/books/__cats/johnstone__sketches_of_an_elephant_2vols.pdf" ;; (find-books "__cats/__cats.el" "johnstone") (code-xpdf "nolst" "~/books/__cats/johnstone__notes_on_logic_and_set_theory.pdf") (code-xpdf-text "nolst" "~/books/__cats/johnstone__notes_on_logic_and_set_theory.pdf" 8) (code-djvu "nolst" "~/books/__cats/johnstone__notes_on_logic_and_set_theory.djvu") (code-djvu-text "nolst" "~/books/__cats/johnstone__notes_on_logic_and_set_theory.djvu" 8) ;; (find-code-djvu "nolst" "~/books/__cats/johnstone__notes_on_logic_and_set_theory.djvu") ;; (find-code-djvu-text "nolst" "~/books/__cats/johnstone__notes_on_logic_and_set_theory.djvu" 11) ;; (find-nolstpage) ;; (find-nolstpage 6 "Contents") ;; (find-nolstpage (+ 11 108) "Index of Definitions") ;; (find-nolstpage (+ 11 111) "Index of Names") ;; (find-nolsttext "") ;; (find-nolstpage (+ 11 1) "1 Universal algebra") ;; (find-nolsttext (+ 11 1) "1 Universal algebra") ;; (find-nolstpage (+ 11 11) "2 Propositional calculus") ;; (find-nolsttext (+ 11 11) "2 Propositional calculus") ;; (find-nolstpage (+ 11 18) "3 First-order theories") ;; (find-nolsttext (+ 11 18) "3 First-order theories") ;; (find-nolstpage (+ 11 34) "4 Recursive functions") ;; (find-nolsttext (+ 11 34) "4 Recursive functions") ;; (find-nolstpage (+ 11 53) "5 Zermelo-Fraenkel set theory") ;; (find-nolsttext (+ 11 53) "5 Zermelo-Fraenkel set theory") ;; (find-nolstpage (+ 11 68) "6 Ordinals and well-orderings") ;; (find-nolsttext (+ 11 68) "6 Ordinals and well-orderings") ;; (find-nolstpage (+ 11 78) "7 The axiom of choice") ;; (find-nolsttext (+ 11 78) "7 The axiom of choice") ;; (find-nolstpage (+ 11 88) "8 Cardinal arithmetic") ;; (find-nolsttext (+ 11 88) "8 Cardinal arithmetic") ;; (find-nolstpage (+ 11 97) "9 Consistency and independence") ;; (find-nolsttext (+ 11 97) "9 Consistency and independence") ;; «johnstone-fact1» (to ".johnstone-fact1") ;; (find-books "__cats/__cats.el" "johnstone-fact1") ;; Factorization theorems for geometric morphisms, I ;; Cahiers de topologie et géométrie différentielle catégoriques, ;; tome 22, no 1 (1981), p. 3-17. ;; (code-pdf-page "johnstonefact1" "~/books/__cats/johnstone__factorization_theorems_for_geometric_morphisms_1.pdf") (code-pdf-text "johnstonefact1" "~/books/__cats/johnstone__factorization_theorems_for_geometric_morphisms_1.pdf" -1) ;; (find-johnstonefact1page) ;; (find-johnstonefact1page (+ -1 3) "Contents") ;; (find-johnstonefact1page (+ 1 189) "Index") ;; (find-johnstonefact1text "") ;; «johnstone-fact2» (to ".johnstone-fact2") ;; (find-books "__cats/__cats.el" "johnstone-fact2") (code-pdf-page "johnstonefact2" "~/books/__cats/johnstone__factorization_theorems_for_geometric_morphisms_2.pdf") (code-pdf-text "johnstonefact2" "~/books/__cats/johnstone__factorization_theorems_for_geometric_morphisms_2.pdf" -215) ;; (find-johnstonefact2page) ;; (find-johnstonefact2page (+ -215 216)) ;; (find-johnstonefact2text (+ -215 216)) ;; (find-johnstonefact2text "") ;; ;; (find-books "__cats/__cats.el" "johnstone") ;; https://link.springer.com/journal/12/21/2 ;; https://link.springer.com/article/10.1007/BF01188056 ;; https://doi.org/10.1007/BF01188056 (code-pdf-page "johnstonewiavat" "~/books/__cats/johnstone__when_is_a_variety_a_topos.pdf") (code-pdf-text "johnstonewiavat" "~/books/__cats/johnstone__when_is_a_variety_a_topos.pdf" 1) ;; (find-johnstonewiavatpage) ;; (find-johnstonewiavatpage 1 "Contents") ;; (find-johnstonewiavatpage (+ 1 189) "Index") ;; (find-johnstonewiavattext "") ;; «joyal» (to ".joyal") ;; (find-books "__cats/__cats.el" "joyal") ;; Mathieu Anel and André Joyal: "Topo-logie" ;; http://mathieu.anel.free.fr/mat/doc/Anel-Joyal-Topo-logie.pdf (code-pdf-page "aneljoyal" "$S/http/mathieu.anel.free.fr/mat/doc/Anel-Joyal-Topo-logie.pdf") (code-pdf-text "aneljoyal" "$S/http/mathieu.anel.free.fr/mat/doc/Anel-Joyal-Topo-logie.pdf") ;; (find-aneljoyalpage) ;; (find-aneljoyaltext) ;; «joyal-nielsen-winskel» (to ".joyal-nielsen-winskel") ;; Joyal/Nielsen/Winskel: "Bisimulation from Open Maps" ;; https://www.brics.dk/RS/94/7/BRICS-RS-94-7.pdf (code-pdf-page "joyalnwbisimufom" "$S/https/www.brics.dk/RS/94/7/BRICS-RS-94-7.pdf") (code-pdf-text "joyalnwbisimufom" "$S/https/www.brics.dk/RS/94/7/BRICS-RS-94-7.pdf") ;; (find-joyalnwbisimufompage) ;; (find-joyalnwbisimufomtext) ;; «joyal-street» (to ".joyal-street") ;; Braided monoidal categories (1986): ;; https://maths.mq.edu.au/~street/ ;; https://maths.mq.edu.au/~street/JS1.pdf (code-pdf-page "joyalstreetbmc" "$S/https/maths.mq.edu.au/~street/JS1.pdf") (code-pdf-text "joyalstreetbmc" "$S/https/maths.mq.edu.au/~street/JS1.pdf") ;; (find-joyalstreetbmcpage) ;; (find-joyalstreetbmctext) ;; «joyal-tierney» (to ".joyal-tierney") ;; (find-books "__cats/__cats.el" "joyal-tierney") (code-pdf-page "joyaltierney" "~/books/__cats/joyal_tierney__an_extension_of_the_galois_theory_of_grothendieck.pdf") (code-pdf-text "joyaltierney" "~/books/__cats/joyal_tierney__an_extension_of_the_galois_theory_of_grothendieck.pdf" 11) ;; (find-joyaltierneypage) ;; (find-joyaltierneypage 6 "Contents") ;; (find-joyaltierneytext 6 "") ;; (find-joyaltierneypage (+ 11 1) "Chapter I - Sup-lattices,,") ;; (find-joyaltierneypage (+ 11 1) "1. Definitions and duality") ;; (find-joyaltierneypage (+ 11 2) "2. Limits and colimits") ;; (find-joyaltierneypage (+ 11 3) "3. Free sup-lattices") ;; (find-joyaltierneypage (+ 11 4) "4. Sub and quotient lattices") ;; (find-joyaltierneypage (+ 11 5) "5. Tensor products") ;; (find-joyaltierneypage (+ 11 7) "Chapter II - Rings, modules and descent") ;; (find-joyaltierneypage (+ 11 7) "1. Rings and modules") ;; (find-joyaltierneypage (+ 11 8) "2. Tensor product of modules") ;; (find-joyaltierneypage (+ 11 9) "3. Change of rings") ;; (find-joyaltierneypage (+ 11 11) "4. Flatness, projectivity, and purity") ;; (find-joyaltierneypage (+ 11 12) "5. Descent theory for modules") ;; (find-joyaltierneypage (+ 11 21) "Chapter III - Locales") ;; (find-joyaltierneypage (+ 11 21) "1. Locales and commutative monoids") ;; (find-joyaltierneypage (+ 11 21) "2. Limits and colimits") ;; (find-joyaltierneypage (+ 11 22) "3. The free locale") ;; (find-joyaltierneypage (+ 11 22) "4. Local operators and quotients") ;; (find-joyaltierneypage (+ 11 25) "5. T he splitting locale") ;; (find-joyaltierneypage (+ 11 27) "Chapter IV - Spaces") ;; (find-joyaltierneypage (+ 11 27) "1. Subspaces") ;; (find-joyaltierneypage (+ 11 28) "2. Points and discrete spaces") ;; (find-joyaltierneypage (+ 11 29) "3. The Sierpinski space") ;; (find-joyaltierneypage (+ 11 30) "4. Pullbacks and projective limits") ;; (find-joyaltierneypage (+ 11 31) "5. The splitting space") ;; (find-joyaltierneypage (+ 11 33) "Chapter V - Open maps of spaces") ;; (find-joyaltierneypage (+ 11 33) "1. Open maps - definition") ;; (find-joyaltierneypage (+ 11 34) "2. Open subspaces") ;; (find-joyaltierneypage (+ 11 35) "3. Conditions for openness") ;; (find-joyaltierneypage (+ 11 38) "4. Open surjections, pullbacks") ;; (find-joyaltierneypage (+ 11 40) "5. A characterization of discrete spaces") ;; (find-joyaltierneypage (+ 11 42) "Chapter VI - Change of base") ;; (find-joyaltierneypage (+ 11 42) "1. Change of base for sup-lattices and locales") ;; (find-joyaltierneypage (+ 11 46) "2. Determination of si(S-) and loc(S-)") ;; (find-joyaltierneypage (+ 11 49) "3. Determination ofs£(sh(A)) and loc(sh(A)) for Aeloc(S)") ;; (find-joyaltierneypage (+ 11 52) "4. The Beck-Chevalleyv conditions") ;; (find-joyaltierneypage (+ 11 53) "5. The spatial reflection") ;; (find-joyaltierneypage (+ 11 56) "Chapter VII - Open morphisms of topoi") ;; (find-joyaltierneypage (+ 11 56) "1. Open geometric morphisms") ;; (find-joyaltierneypage (+ 11 58) "2. A site characterization of openness") ;; (find-joyaltierneypage (+ 11 59) "3. The spatial cover") ;; (find-joyaltierneypage (+ 11 61) "4. A characterization of atomic topoi") ;; (find-joyaltierneypage (+ 11 64) "Chapter VIII - Descen t morphisms oftopoi") ;; (find-joyaltierneypage (+ 11 64) "1. Effective descent morpnisms") ;; (find-joyaltierneypage (+ 11 65) "2. Open surjections") ;; (find-joyaltierneypage (+ 11 68) "3. Applications to the structure of topoi") ;; (find-joyaltierneypage (+ 11 71) "References") ;; (find-joyaltierneytext "") ;; «julesh» (to ".julesh") ;; (find-books "__cats/__cats.el" "julesh") ;; https://julesh.com/2017/11/09/compositional-game-theory-reading-list/ ;; https://julesh.com/2018/01/16/towards-compositional-game-theory/ ;; https://julesh.com/2018/08/16/lenses-for-philosophers/ ;; https://julesh.com/2019/04/18/folklore-monoidal-kleisli-categories/ ;; http://www.cs.ox.ac.uk/people/julian.hedges/papers/Thesis.pdf (code-pdf-page "juleshphd" "$S/http/www.cs.ox.ac.uk/people/julian.hedges/papers/Thesis.pdf") (code-pdf-text "juleshphd" "$S/http/www.cs.ox.ac.uk/people/julian.hedges/papers/Thesis.pdf") ;; (find-juleshphdpage) ;; (find-juleshphdtext) ;; (find-juleshphdpage) ;; (find-juleshphdpage 4 "Contents") ;; (find-juleshphdtext 4 "Contents") ;; (find-juleshphdpage (+ 0 10) "Introduction") ;; (find-juleshphdtext "") ;; «julesh-opengames» (to ".julesh-opengames") ;; (find-books "__cats/__cats.el" "julesh-opengames") ;; http://math.ucr.edu/home/baez/mathematical/ACTUCR/Hedges_Open_Games.pdf ;; http://www.youtube.com/watch?v=Kwflmrd2AfM ACT@UCR Seminar: Open Games: the Long Road to Practical Applications - Jules Hedges (code-pdf-page "juleshopengames" "$S/http/math.ucr.edu/home/baez/mathematical/ACTUCR/Hedges_Open_Games.pdf") (code-pdf-text "juleshopengames" "$S/http/math.ucr.edu/home/baez/mathematical/ACTUCR/Hedges_Open_Games.pdf") ;; (find-juleshopengamespage) ;; (find-juleshopengamestext) ;; «kan» (to ".kan") ;; (find-books "__cats/__cats.el" "kan") ;; (find-books "__cats/__cats.el" "marquis") ;; (find-books "__cats/__cats.el" "marquis" "4.2 Kan's Discovery") ;; https://www.ams.org/journals/tran/1958-087-02/S0002-9947-1958-0131451-0/ ;; https://www.ams.org/journals/tran/1958-087-02/S0002-9947-1958-0131451-0/S0002-9947-1958-0131451-0.pdf (code-pdf-page "kan58" "~/books/__cats/kan__adjoint_functors.pdf") (code-pdf-text "kan58" "~/books/__cats/kan__adjoint_functors.pdf" -293) ;; (find-kan58page) ;; (find-kan58page (+ -293 294) "1. Introduction") ;; (find-kan58text (+ -293 294) "1. Introduction") ;; (find-kan58page (+ -293 295) "2. Notation and terminology") ;; (find-kan58text (+ -293 295) "2. Notation and terminology") ;; (find-kan58page (+ -293 296) "3. Adjoint functors in one variable") ;; (find-kan58text (+ -293 296) "3. Adjoint functors in one variable") ;; (find-kan58page (+ -293 299) "4. Adjoint functors in several variables") ;; (find-kan58text (+ -293 299) "4. Adjoint functors in several variables") ;; (find-kan58page (+ -293 302) "5. The relative case") ;; (find-kan58text (+ -293 302) "5. The relative case") ;; (find-kan58page (+ -293 305) "6. Two natural transformations") ;; (find-kan58text (+ -293 305) "6. Two natural transformations") ;; (find-kan58page (+ -293 309) "7. Direct limits") ;; (find-kan58text (+ -293 309) "7. Direct limits") ;; (find-kan58page (+ -293 310) "extension") ;; (find-kan58text (+ -293 310) "extension") ;; (find-kan58page (+ -293 312) "8. Inverse limits") ;; (find-kan58text (+ -293 312) "8. Inverse limits") ;; (find-kan58page (+ -293 313) "9. Direct and inverse categories") ;; (find-kan58text (+ -293 313) "9. Direct and inverse categories") ;; (find-kan58page (+ -293 316) "10. Subdivision of a category") ;; (find-kan58text (+ -293 316) "10. Subdivision of a category") ;; (find-kan58page (+ -293 318) "11. Lifted functors") ;; (find-kan58text (+ -293 318) "11. Lifted functors") ;; (find-kan58page (+ -293 320) "12. Existence theorems") ;; (find-kan58text (+ -293 320) "12. Existence theorems") ;; (find-kan58page (+ -293 321) "13. The relative case") ;; (find-kan58text (+ -293 321) "13. The relative case") ;; (find-kan58page (+ -293 326) "14. The functor H") ;; (find-kan58text (+ -293 326) "14. The functor H") ;; (find-kan58text "") ;; «kassel» (to ".kassel") ;; (find-books "__cats/__cats.el" "kassel") (code-pdf-page "kasselqg" "~/books/__cats/kassel__quantum_groups.pdf") (code-pdf-text "kasselqg" "~/books/__cats/kassel__quantum_groups.pdf" 11) ;; (find-kasselqgpage) ;; (find-kasselqgpage 7 "Contents") ;; (find-kasselqgpage (+ 8 275) "XI. Tensor Categories") ;; (find-kasselqgpage (+ 8 375) "Index") ;; (find-kasselqgtext "") ;; «kelly» (to ".kelly") ;; (find-books "__cats/__cats.el" "kelly") ;; https://doi.org/10.1017/S0004972700006353 (code-pdf-page "kellyutt" "~/books/__cats/kelly__a_unified_treatment_of_transfinite_constructions_for_free_algebras_free_monoids_colimits_associated_sheaves_and_so_on.pdf") (code-pdf-text "kellyutt" "~/books/__cats/kelly__a_unified_treatment_of_transfinite_constructions_for_free_algebras_free_monoids_colimits_associated_sheaves_and_so_on.pdf" 1) ;; (find-kellyuttpage) ;; (find-kellyutttext "") ;; (find-kellyuttpage 14 "3. Examples and counterexamples") ;; (find-kellyutttext 14 "3. Examples and counterexamples") ;; (find-kellyuttpage 17 "4. A reduction in the well-copowered case") ;; (find-kellyutttext 17 "4. A reduction in the well-copowered case") ;; (find-kellyuttpage 59 "21. The special case A = Set") ;; (find-kellyutttext 59 "21. The special case A = Set") ;; (find-kellyuttpage 79 "28. Algebraic colimits of monoids") ;; (find-kellyutttext 79 "28. Algebraic colimits of monoids") ;; https://www.science.org.au/fellowship/fellows/biographical-memoirs/gregory-maxwell-kelly-1930%E2%80%932007 ;; «kelly-lack» (to ".kelly-lack") ;; (find-books "__cats/__cats.el" "kelly-lack") ;; "On Property-Like Structures" (1997) ;; http://www.tac.mta.ca/tac/volumes/1997/n9/n9.pdf ;; (find-fline "$S/http/www.tac.mta.ca/tac/volumes/1997/n9/") (code-pdf-page "kellylack" "$S/http/www.tac.mta.ca/tac/volumes/1997/n9/n9.pdf") (code-pdf-text "kellylack" "$S/http/www.tac.mta.ca/tac/volumes/1997/n9/n9.pdf") ;; (find-kellylackpage) ;; (find-kellylacktext) ;; «kelly-street» (to ".kelly-street") ;; (find-books "__cats/__cats.el" "kelly-street") ;; https://link.springer.com/chapter/10.1007%2FBFb0063101 (code-pdf-page "kellystreet" "~/books/__cats/kelly_street__review_of_the_elements_of_2-categories.pdf") (code-pdf-text "kellystreet" "~/books/__cats/kelly_street__review_of_the_elements_of_2-categories.pdf" 1) ;; (find-kellystreetpage) ;; (find-kellystreetpage (+ -74 75) "1. Double categories and 2-categories") ;; (find-kellystreetpage (+ -74 84) "2. Adjunction in a 2-category") ;; (find-kellystreettext "") ;; «kim-oh-kim» (to ".kim-oh-kim") ;; (find-books "__cats/__cats.el" "kim-oh-kim") ;; Joon-Hwi Kim, Maverick S. H. Oh, Keun-Young Kim: ;; "Boosting Vector Calculus with the Graphical Notation" (2019) ;; https://arxiv.org/abs/1911.00892 ;; https://arxiv.org/pdf/1911.00892.pdf (code-pdf-page "boostingvc" "$S/https/arxiv.org/pdf/1911.00892.pdf") (code-pdf-text "boostingvc" "$S/https/arxiv.org/pdf/1911.00892.pdf" 1) ;; (find-boostingvcpage) ;; (find-boostingvcpage 1 "Contents") ;; (find-boostingvcpage (+ 1 189) "Index") ;; (find-boostingvctext "") ;; «kleisli» (to ".kleisli") ;; (find-books "__cats/__cats.el" "kleisli") ;; https://ncatlab.org/nlab/show/Kleisli+category ;; https://doi.org/10.1090/S0002-9939-1965-0177024-4 ;; https://www.ams.org/journals/proc/1965-016-03/S0002-9939-1965-0177024-4/ ;; https://www.ams.org/journals/proc/1965-016-03/S0002-9939-1965-0177024-4/S0002-9939-1965-0177024-4.pdf ;; H. Kleisli: "Every standard construction is induced by a pair of adjoint functors" ;; Proc. Amer. Math. Soc. 16 (1965), 544-546 (code-pdf-page "kleisli65" "~/books/__cats/kleisli65.pdf") (code-pdf-text "kleisli65" "~/books/__cats/kleisli65.pdf" -543) ;; (find-kleisli65page) ;; (find-kleisli65page (+ -543 544) "induced by the pair of adjoint" "functors F and G") ;; (find-kleisli65text (+ -543 544) "induced by the pair of adjoint" "functors F and G") ;; (find-kleisli65text "") ;; «kock» (to ".kock") ;; (find-books "__cats/__cats.el" "kock") ;; (find-LATEX "2020kockdiff.tex") ;; (find-angg ".emacs.papers" "kock") ;; (find-LATEX "catsem-u.bib" "bib-Kock77") ;; http://www.mscand.dk/article/view/11687/9703 (code-pdf-page "kockdiff" "~/books/__cats/kock__a_simple_axiomatics_for_differentiation.pdf") (code-pdf-text "kockdiff" "~/books/__cats/kock__a_simple_axiomatics_for_differentiation.pdf" -182) ;; (find-kockdiffpage) ;; (find-kockdiffpage (+ -182 183) "") ;; (find-kockdiffpage (+ -182 184) "1. Some generalities about rings in cartesian categories") ;; (find-kockdiffpage (+ -182 186) "2. Axiom: the invertibility of alpha") ;; (find-kockdiffpage (+ -182 190) "3. Ring objects of line type") ;; (find-kockdifftext "") ;; «kock-sgm-final» (to ".kock-sgm-final") ;; (find-books "__cats/__cats.el" "kock-sgm-final") ;; https://users-math.au.dk/~kock/ ;; https://users-math.au.dk/~kock/SGM-final.pdf (code-pdf-page "kocksgmfinal" "$S/https/users-math.au.dk/~kock/SGM-final.pdf") (code-pdf-text "kocksgmfinal" "$S/https/users-math.au.dk/~kock/SGM-final.pdf") ;; (find-kocksgmfinalpage) ;; (find-kocksgmfinaltext) ;; (find-kocksgmfinalpage 3 "Contents") ;; (find-kocksgmfinaltext 3 "Contents") ;; (find-kocksgmfinalpage 275 "9.2 Models; sheaf semantics") ;; (find-kocksgmfinaltext 275 "9.2 Models; sheaf semantics") ;; Joachim Kock: ;; http://mat.uab.es/~kock/cat/notes-on-polynomial-functors.html ;; http://mat.uab.es/~kock/cat/polynomial.html ;; «kromer» (to ".kromer") ;; (find-books "__cats/__cats.el" "kromer") ;; (find-LATEX "catsem.bib" "bib-Kromer") ;; http://www2.math.uni-wuppertal.de/~kroemer/index.html ;; http://poincare.univ-nancy2.fr/Presentation/?contentId=1527 (code-pdf-page "kromer" "~/books/__cats/kromer___tool_and_object_a_history_and_philosophy_of_category_theory.pdf") (code-pdf-text "kromer" "~/books/__cats/kromer___tool_and_object_a_history_and_philosophy_of_category_theory.pdf" 34) ;; (find-kromerpage 1) ;; (find-kromerpage 8 "Contents") ;; (find-kromertext 8 "Contents") ;; (find-kromerpage 9 "1.3.2 A new conception of intuition") ;; (find-kromertext 9 "1.3.2 A new conception of intuition") ;; (find-kromerpage (+ -1 21) "Introduction") ;; (find-kromerpage 25 "a first tentative \"philosophy\" of category theory") ;; (find-kromertext 25 "a first tentative \"philosophy\" of category theory") ;; (find-kromerpage (+ 35 1) "Chapter 1. Prelude") ;; (find-kromerpage (+ 35 27) "explain the more basic and the" "clearer by the more obscure") ;; (find-kromertext (+ 35 27) "explain the more basic and the" "clearer by the more obscure") ;; (find-kromerpage (+ 34 28) "but not their meaning") ;; (find-kromertext (+ 34 28) "but not their meaning") ;; (find-kromerpage (+ 34 30) "1.3.2 A new conception of intuition") ;; (find-kromertext (+ 34 30) "1.3.2 A new conception of intuition") ;; (find-kromerpage (+ 34 58) "2.2.5 Passage to the limit and \"naturality\"") ;; (find-kromertext (+ 34 58) "2.2.5 Passage to the limit and \"naturality\"") ;; (find-kromerpage (+ 34 65) "2.3.2 The reception of the 1945 paper") ;; (find-kromertext (+ 34 65) "2.3.2 The reception of the 1945 paper") ;; (find-kromerpage (+ 34 70) "2.3.4.1 \"Natural transformation\"") ;; (find-kromertext (+ 34 70) "2.3.4.1 \"Natural transformation\"") ;; (find-kromerpage (+ 34 83) "The diagrams incorporate a large amount of information.") ;; (find-kromertext "The diagrams incorporate a large amount of information") ;; (find-kromerpage (+ 34 98) "proofs based on diagrams") ;; (find-kromertext (+ 34 98) "proofs based on diagrams") ;; (find-kromerpage (+ 34 114) "corresponding commutative diagram") ;; (find-kromertext (+ 34 114) "corresponding commutative diagram") ;; (find-kromerpage (+ 34 143) "like diagram language at all") ;; (find-kromertext (+ 34 143) "like diagram language at all") ;; (find-kromerpage (+ 34 151) "3.3.4.4 Diagram chasing and the full embedding theorem") ;; (find-kromertext (+ 34 151) "3.3.4.4 Diagram chasing and the full embedding theorem") ;; (find-kromerpage (+ 34 152) "absence of elements" "painfully difficult") ;; (find-kromertext "absence of elements" "painfully di" "cult") ;; (find-kromerpage (+ 34 152) "no abelian categories not" "admitting diagram chasing") ;; (find-kromertext "no abelian categories not" "admitting diagram chasing") ;; (find-kromerpage (+ 34 165) "dictionnaire") ;; (find-kromertext (+ 34 165) "dictionnaire") ;; (find-kromerpage (+ 34 174) "4.1.2.2 The notion of Grothendieck topology") ;; (find-kromertext (+ 34 174) "4.1.2.2 The notion of Grothendieck topology") ;; (find-kromerpage (+ 33 207) "5.3 What is the concept of object about?") ;; (find-kromertext (+ 33 207) "5.3 What is the concept of object about?") ;; (find-kromerpage (+ 34 215) "nonstructural categories") ;; (find-kromertext "nonstructural categories") ;; (find-kromerpage (+ 34 218) "5.3.2.1 Objects cannot be penetrated") ;; (find-kromertext "\n5.3.2.1 Objects cannot be penetrated") ;; (find-kromerpage (+ 34 224) "5.4.3 Categories as graphs") ;; (find-kromertext (+ 34 224) "5.4.3 Categories as graphs") ;; (find-kromerpage (+ 34 225) "convenient graphical") ;; (find-kromertext (+ 34 225) "convenient graphical") ;; (find-kromerpage (+ 34 226) "diagrams are mere symbols") ;; (find-kromertext (+ 34 226) "diagrams are mere symbols") ;; (find-kromerpage (+ 34 232) "same technical common sense") ;; (find-kromertext "same technical common sense") ;; (find-kromerpage (+ 34 236) "simulate" "set-theoretical features in CT") ;; (find-kromertext "simulate" "set-theoretical features in CT") ;; (find-kromerpage (+ 33 240) "the set of all sets") ;; (find-kromerpage (+ 34 254) "it would be pointless") ;; (find-kromerpage (+ 34 260) "consider universes") ;; (find-kromerpage (+ 34 272) "canonical universes which are larger than L") ;; (find-kromerpage (+ 34 279) "statements" "(equivalent to) elementary ones") ;; (find-kromerpage (+ 33 288) "conceptual problem in Lawvere's approach") ;; (find-kromertext (+ 33 288) "conceptual problem in Lawvere's approach") ;; (find-kromerpage (+ 32 321) "Bibliography") ;; (find-kromertext (+ 32 321) "Bibliography") ;; (find-kromertext) ;; «kromer-slides» (to ".kromer-slides") ;; (find-books "__cats/__cats.el" "kromer-slides") ;; http://angg.twu.net/logic-for-children-2018/ralf_kroemer__slides.pdf ;; (find-fline "$S/http/angg.twu.net/logic-for-children-2018/") ;; https://mail.google.com/mail/ca/u/0/#inbox/KtbxLxgRNrzRDmlXzxmHzqbvfsFVLspkkL (code-pdf-page "kromerslides" "$S/http/angg.twu.net/logic-for-children-2018/ralf_kroemer__slides.pdf") (code-pdf-text "kromerslides" "$S/http/angg.twu.net/logic-for-children-2018/ralf_kroemer__slides.pdf") ;; (find-kromerslidespage) ;; (find-kromerslidestext) ;; (find-kromerslidespage 5 "supply it himself") ;; (find-kromerslidestext 5 "supply it himself") ;; Feferman: "Foundations of unlimited category theory: What remains to be done" (2013) ;; https://philpapers.org/rec/FEFFOU-2 ;; «lafont» (to ".lafont") ;; (find-books "__cats/__cats.el" "lafont") ;; http://iml.univ-mrs.fr/~lafont/recherche.html ;; http://iml.univ-mrs.fr/~lafont/publications.html ;; http://iml.univ-mrs.fr/~lafont/pub/syntax.pdf ;; http://iml.univ-mrs.fr/~lafont/pub/Sigma-diagrammes.pdf Lafont/Rannou 2010 (slides) (code-pdf-page "lafontic" "~/books/__cats/lafont__interaction_combinators.pdf") (code-pdf-text "lafontic" "~/books/__cats/lafont__interaction_combinators.pdf" 1) ;; (find-lafonticpage) ;; (find-lafonticpage 1 "Contents") ;; (find-lafonticpage (+ 1 189) "Index") ;; (find-lafontictext "") ;; «lambek» (to ".lambek") ;; (find-books "__cats/__cats.el" "lambek") ;; http://www.math.mcgill.ca/barr/lambek/pdffiles/ ;; http://www.math.mcgill.ca/barr/lambek/pdffiles/RecRelCat.pdf (code-pdf-page "lambekrrc" "$S/http/www.math.mcgill.ca/barr/lambek/pdffiles/RecRelCat.pdf") (code-pdf-text "lambekrrc" "$S/http/www.math.mcgill.ca/barr/lambek/pdffiles/RecRelCat.pdf") ;; (find-lambekrrcpage) ;; (find-lambekrrctext) ;; (find-lambekrrcpage 4 "the second lemma to be named after me") ;; (find-lambekrrctext 4 "the second lemma to be named after me") ;; «lambek-dedsc1» (to ".lambek-dedsc1") ;; (find-books "__cats/__cats.el" "lambek-dedsc1") ;; https://link.springer.com/article/10.1007/BF01703261 ;; Lambek, J.: "Deductive systems and categories I: Syntactic calculus ;; and residuated categories". Math. Systems Theory 2, 287­318 ;; (1968) (code-pdf-page "lambekdedsc1" "~/books/__cats/lambek__deductive_systems_and_categories_i.pdf") (code-pdf-text "lambekdedsc1" "~/books/__cats/lambek__deductive_systems_and_categories_i.pdf" 1) ;; (find-lambekdedsc1page) ;; (find-lambekdedsc1page 1 "Contents") ;; (find-lambekdedsc1page (+ 1 189) "Index") ;; (find-lambekdedsc1text "") ;; «lambek-dedsc2» (to ".lambek-dedsc2") ;; (find-books "__cats/__cats.el" "lambek-dedsc2") ;; doi:10.1007/bfb0079385 ;; Lambek, J.: "Deductive systems and categories ii: Standard ;; constructions and closed categories". SLNM 86 (1969)" (code-pdf-page "lambekdedsc2" "~/books/__cats/lambek__deductive_systems_and_categories_ii.pdf") (code-pdf-text "lambekdedsc2" "~/books/__cats/lambek__deductive_systems_and_categories_ii.pdf" 1) ;; (find-lambekdedsc2page) ;; (find-lambekdedsc2page 1 "Contents") ;; (find-lambekdedsc2page (+ 1 189) "Index") ;; (find-lambekdedsc2text "") ;; «lambek86» (to ".lambek86") ;; (find-books "__cats/__cats.el" "lambek86") ;; (find-books "__cats/__cats.el" "lncs0242") ;; https://link.springer.com/book/10.1007/3-540-17184-3 LNCS 242 ;; https://link.springer.com/chapter/10.1007%2F3-540-17184-3_44 Lambek 86 (code-pdf-page "lambek86" "~/books/__cats/lambek__cartesian_closed_categories_and_typed_lambda-calculi.pdf") (code-pdf-text "lambek86" "~/books/__cats/lambek__cartesian_closed_categories_and_typed_lambda-calculi.pdf" -135) ;; (find-lambek86page) ;; (find-lambek86page (+ -135 137) "I. INTRODUCTION TO CATEGORY THEORY") ;; (find-lambek86text (+ -135 137) "I. INTRODUCTION TO CATEGORY THEORY") ;; (find-lambek86page (+ -135 140) "2. CARTESIAN CATEGORIES") ;; (find-lambek86text (+ -135 140) "2. CARTESIAN CATEGORIES") ;; (find-lambek86page (+ -135 148) "3. CARTESIAN CLOSED CATEGORIES") ;; (find-lambek86text (+ -135 148) "3. CARTESIAN CLOSED CATEGORIES") ;; (find-lambek86page (+ -135 150) "the name of f") ;; (find-lambek86text (+ -135 150) "the name of f") ;; (find-lambek86page (+ -135 153) "4. TYPED A-CALCULI") ;; (find-lambek86text (+ -135 153) "4. TYPED A-CALCULI") ;; (find-lambek86page (+ -135 159) "5. NATURAL Nlh~ERS OBJECT") ;; (find-lambek86text (+ -135 159) "5. NATURAL Nlh~ERS OBJECT") ;; (find-lambek86page (+ -135 165) "6. CAN THE NNO BE PRESENTED EQUATIONALLY?") ;; (find-lambek86text (+ -135 165) "6. CAN THE NNO BE PRESENTED EQUATIONALLY?") ;; (find-lambek86page (+ -135 173) "REFERENCES") ;; (find-lambek86text (+ -135 173) "REFERENCES") ;; (find-lambek86text "") ;; «lambek90th» (to ".lambek90th") ;; (find-books "__cats/__cats.el" "lambek90th") ;; Casadio, Coecke, Moortgat, Scott (Eds.): ;; Categories and Types in Logic, Language, and Physics - ;; Essays Dedicated to Jim Lambek on the Occasion of His 90th Birthday (code-pdf-page "lambek90th" "~/books/__cats/categories_and_types_in_logic_language_and_physics_essays_dedicated_to_jim_lambek_on_the_occasion_of_his_90th_birthday.pdf") (code-pdf-text "lambek90th" "~/books/__cats/categories_and_types_in_logic_language_and_physics_essays_dedicated_to_jim_lambek_on_the_occasion_of_his_90th_birthday.pdf" 1) ;; (find-lambek90thpage) ;; (find-lambek90thtext "") ;; (find-lambek90thpage) ;; (find-lambek90thpage 10 "Contents") ;; (find-lambek90thpage (+ 11 1) "Semantic Unification") ;; (find-lambek90thpage (+ 11 331) "Semantic Unification") ;; (find-lambek90thtext "") ;; «lambek-scott» (to ".lambek-scott") ;; (find-books "__cats/__cats.el" "lambek-scott") ;; (find-LATEX "catsem.bib" "bib-LambekScott") ;; (find-LATEX "2020lambek-scott.tex") (code-pdf-page "lambekscott" "~/books/__cats/lambek_scott__introduction_to_higher_order_categorical_logic.pdf") ;; (find-lambekscottpage 3 "Contents") ;; (find-lambekscottpage (+ 8 1) "0. Introduction to Category Theory") ;; (find-lambekscottpage (+ 8 3) "Introduction to part 0") ;; (find-lambekscottpage (+ 8 4) "1. Categories and functors") ;; (find-lambekscottpage (+ 8 8) "2. Natural transformations") ;; (find-lambekscottpage (+ 8 11) "Exercises") ;; (find-lambekscottpage (+ 8 12) "3. Adjoint functors") ;; (find-lambekscottpage (+ 8 16) "4. Equivalence of categories") ;; (find-lambekscottpage (+ 8 19) "5. Limits in categories") ;; (find-lambekscottpage (+ 8 20) "Definition 5.3") ;; (find-lambekscottpage (+ 8 22) "Proposition 5.4 (Burroni). Equalizers...") ;; (find-lambekscottpage (+ 8 27) "6. Triples") ;; (find-lambekscottpage (+ 8 35) "7. Examples of cartesian closed categories") ;; (find-lambekscottpage (+ 8 39) "I. Cartesian Closed Categories and lambda-calculus") ;; (find-lambekscottpage (+ 8 41) "Introduction to part I") ;; (find-lambekscottpage (+ 8 42) "Historical perspective on Part I") ;; (find-lambekscottpage (+ 8 46) "Dana Scott" "B^B iso to B") ;; (find-lambekscottpage (+ 8 47) "1. Propositional calculus as a deductive system") ;; (find-lambekscottpage (+ 8 49) "(the name of)") ;; (find-lambekscottpage (+ 8 50) "2. The deduction theorem") ;; (find-lambekscottpage (+ 8 52) "Exercise") ;; (find-lambekscottpage (+ 8 52) "3. Cartesian closed categories equationally presented") ;; (find-lambekscottpage (+ 8 55) "Exercises") ;; (find-lambekscottpage (+ 8 55) "4. Free cartesian closed categories generated by graphs") ;; (find-lambekscottpage (+ 8 57) "5. Polynomial categories") ;; (find-lambekscottpage (+ 8 58) "polynomials") ;; (find-lambekscottpage (+ 8 59) "6. Functional completeness in cartesian closed categories") ;; (find-lambekscottpage (+ 8 61) "Exercises") ;; (find-lambekscottpage (+ 8 62) "7. Polynomials and Kleisli Categories") ;; (find-lambekscottpage (+ 8 65) "8. Cartesian closed categories with coproducts") ;; (find-lambekscottpage (+ 8 68) "Exercises") ;; (find-lambekscottpage (+ 8 68) "9. Natural numbers objects in cartesian closed categories") ;; (find-lambekscottpage (+ 8 72) "10. Typed lambda-calculi") ;; (find-lambekscottpage (+ 8 75) "internal language L(A) of a cartesian closed category") ;; (find-lambekscottpage (+ 8 77) "Exercises") ;; (find-lambekscottpage (+ 8 77) "11. The cartesian closed category generated by a typed lambda-calculus") ;; (find-lambekscottpage (+ 8 81) "12. The decision problem for equality") ;; (find-lambekscottpage (+ 8 84) "13. The Church-Rosser theorem for bounded terms") ;; (find-lambekscottpage (+ 8 88) "14. All terms are bounded") ;; (find-lambekscottpage (+ 8 93) "15. C-monoids") ;; (find-lambekscottpage (+ 8 98) "16. C-monoids are cartesian closed categories") ;; (find-lambekscottpage (+ 8 101) "17. C-monoids and untyped lambda-calculus") ;; (find-lambekscottpage (+ 8 107) "18. A construction by Dana Scott") ;; (find-lambekscottpage (+ 8 114) "Historical comments on Part I") ;; (find-lambekscottpage (+ 8 121) "II. Type theory and toposes") ;; (find-lambekscottpage (+ 8 123) "Introduction to Part II") ;; (find-lambekscottpage (+ 8 128) "1. Intuitionistic type theory") ;; (find-lambekscottpage (+ 8 131) "some unicorns have horns") ;; (find-lambekscottpage (+ 8 133) "2 Type Theory based on equality") ;; (find-lambekscottpage (+ 8 139) "3 The internal language of a topos") ;; (find-lambekscottpage (+ 8 139) "subobject clasifier") ;; (find-lambekscottpage (+ 8 148) "5 The internal language at work") ;; (find-lambekscottpage (+ 8 153) "6 The internal language at work II") ;; (find-lambekscottpage (+ 8 200) "Toposes with canonical subobjects") ;; (find-lambekscottpage (+ 8 257) "NNO") ;; (find-lambekscottpage (+ 8 279) "Bibliography") ;; (find-lambekscottpage (+ 8 291) "Subject index") ;; ;; http://www.numdam.org/article/CTGDC_1981__22_2_129_0.pdf ;; Lambek/Scott: "Algebraic aspects of topos theory" ;; (find-fline "$S/http/www.numdam.org/article/") (code-pdf-page "lambekscott81" "$S/http/www.numdam.org/article/CTGDC_1981__22_2_129_0.pdf") (code-pdf-text "lambekscott81" "$S/http/www.numdam.org/article/CTGDC_1981__22_2_129_0.pdf" -127) ;; (find-lambekscott81page) ;; (find-lambekscott81page (+ -127 129)) ;; (find-lambekscott81page (+ -127 130) "predogma") ;; (find-lambekscott81text (+ -127 130) "predogma") ;; (find-lambekscott81page (+ -127 140) "REFERENCES") ;; (find-lambekscott81text (+ -127 140) "REFERENCES") ;; (find-lambekscott81text) ;; Lambek: "Programs, grammars, arguments" ;; http://www.math.mcgill.ca/barr/papers/pga.pdf ;; (find-fline "$S/http/www.math.mcgill.ca/barr/papers/") (code-pdf-page "lambekpga" "$S/http/www.math.mcgill.ca/barr/papers/pga.pdf") (code-pdf-text "lambekpga" "$S/http/www.math.mcgill.ca/barr/papers/pga.pdf") ;; (find-lambekpgapage) ;; (find-lambekpgapage 3 "Contents") ;; (find-lambekpgapage 15 "1.3 Primitive recursive functions are calculable") ;; (find-lambekpgatext 15 "1.3 Primitive recursive functions are calculable") ;; (find-lambekpgatext) ;; «landry» (to ".landry") ;; (find-books "__cats/__cats.el" "landry") (code-pdf-page "landry" "~/books/__cats/landry__categories_for_the_working_philosopher.pdf") (code-pdf-text "landry" "~/books/__cats/landry__categories_for_the_working_philosopher.pdf" 15) ;; (find-landrypage) ;; (find-landrypage 12 "Contents") ;; (find-landrypage (+ 15 1) "1. The Roles of Set Theories in Mathematics") ;; (find-landrypage (+ 15 18) "2. Reviving the Philosophy of Geometry") ;; (find-landrypage (+ 15 36) "3. Homotopy Type Theory: A Synthetic Approach to Higher Equalities") ;; (find-landrypage (+ 15 58) "4. Structuralism, Invariance, and Univalence") ;; (find-landrypage (+ 15 69) "5. Category Theory and Foundations") ;; (find-landrypage (+ 15 90) "6. Canonical Maps") ;; (find-landrypage (+ 15 113) "7. Categorical Logic and Model Theory") ;; (find-landrypage (+ 15 136) "8. Unfolding FOLDS: A Foundational Framework for Abstract Mathematical Concepts") ;; (find-landrypage (+ 15 163) "9. Categories and Modalities") ;; (find-landrypage (+ 15 223) "10. Proof Theory of the Cut Rule") ;; (find-landrypage (+ 15 262) "11. Contextuality: At the Borders of Paradox") ;; (find-landrypage (+ 15 286) "12. Categorical Quantum Mechanics I: Causal Quantum Processes") ;; (find-landrypage (+ 15 329) "13. Category Theory and the Foundations of Classical Space-Time Theories") ;; (find-landrypage (+ 15 349) "14. Six-Dimensional Lorentz Category") ;; (find-landrypage (+ 15 358) "15. Applications of Categories to Biology and Cognition") ;; (find-landrypage (+ 15 381) "16. Categories as Mathematical Models") ;; (find-landrypage (+ 15 402) "17. Categories of Scientific Theories") ;; (find-landrypage (+ 15 430) "18. Structural Realism and Category Mistakes") ;; (find-landrypage (+ 15 451) "Name Index") ;; (find-landrypage (+ 15 457) "Subject Index") ;; (find-landrytext "") ;; (find-landrypage 12 "Contents") ;; (find-landrytext 12 "Contents") ;; (find-landrypage (+ 1 15) "Colin McLarty") ;; (find-landrytext (+ 1 15) "Colin McLarty") ;; «landry-asif» (to ".landry-asif") ;; https://www.chapman.edu/scst/conferences-and-events/grothendieck-files/landry-elaine-slides.pdf ;; (find-fline "$S/https/www.chapman.edu/scst/conferences-and-events/grothendieck-files/") (code-pdf-page "landryasif" "$S/https/www.chapman.edu/scst/conferences-and-events/grothendieck-files/landry-elaine-slides.pdf") (code-pdf-text "landryasif" "$S/https/www.chapman.edu/scst/conferences-and-events/grothendieck-files/landry-elaine-slides.pdf") ;; (find-landryasifpage) ;; (find-landryasiftext) ;; «lavendhomme» (to ".lavendhomme") (code-djvu "lavendhomme" "~/books/__cats/lavendhomme__basic_convepts_of_synthetic_differential_geometry.djvu") (code-djvutotext "lavendhomme" "~/books/__cats/lavendhomme__basic_convepts_of_synthetic_differential_geometry.djvu") ;; (find-lavendhommepage 2 "Contents") ;; (find-lavendhommepage (+ -151 317) "Index") ;; (find-lavendhommetext "") ;; «lawvere» (to ".lawvere") ;; (find-angg ".emacs.papers" "lawvere") ;; (find-books "__cats/__cats.el" "lawvere") ;; https://github.com/mattearnshaw/lawvere/ ;; https://github.com/mattearnshaw/lawvere/tree/master/pdfs ;; "Metric Spaces, Generalized Logic, and Closed Categories" ;; http://www.tac.mta.ca/tac/reprints/articles/1/tr1.pdf (code-pdf-page "lawveremetric" "$S/http/www.tac.mta.ca/tac/reprints/articles/1/tr1.pdf") (code-pdf-text "lawveremetric" "$S/http/www.tac.mta.ca/tac/reprints/articles/1/tr1.pdf") ;; (find-lawveremetricpage) ;; (find-lawveremetricpage (+ -130 135)) ;; (find-lawveremetrictext) ;; «lawvere-adjfo» (to ".lawvere-adjfo") ;; (find-books "__cats/__cats.el" "lawvere-adjfo") ;; (find-LATEX "catsem-u.bib" "bib-LawvereAdjFo") ;; (find-LATEX "2020lawvere-adjfo.tex") ;; "Adjointness in Foundations" (with author commentary) ;; http://www.tac.mta.ca/tac/reprints/articles/16/tr16abs.html ;; http://www.tac.mta.ca/tac/reprints/articles/16/tr16.pdf (code-pdf-page "lawvereadjfo" "$S/http/www.tac.mta.ca/tac/reprints/articles/16/tr16.pdf") (code-pdf-text "lawvereadjfo" "$S/http/www.tac.mta.ca/tac/reprints/articles/16/tr16.pdf") ;; (find-lawvereadjfopage) ;; (find-lawvereadjfotext) ;; (find-lawvereadjfopage 11 "A hyperdoctrine shall consist of") ;; (find-lawvereadjfotext 11 "A hyperdoctrine shall consist of") ;; (find-lawvereadjfopage 15 "semantics") ;; (find-lawvereadjfotext 15 "semantics") ;; «lawvere-diag» (to ".lawvere-diag") ;; http://www.tac.mta.ca/tac/reprints/articles/15/tr15abs.html ;; http://www.tac.mta.ca/tac/reprints/articles/15/tr15.pdf (code-pdf-page "lawverediag" "$S/http/www.tac.mta.ca/tac/reprints/articles/15/tr15.pdf") (code-pdf-text "lawverediag" "$S/http/www.tac.mta.ca/tac/reprints/articles/15/tr15.pdf") ;; (find-lawverediagpage) ;; (find-lawverediagtext) ;; «lawvere-equahyp» (to ".lawvere-equahyp") ;; (find-books "__cats/__cats.el" "lawvere-equahyp") ;; (find-LATEX "catsem-u.bib" "bib-LawvereEqHyp") ;; (find-LATEX "2020lawvere-equahyp.tex") ;; "Equality in hyperdoctrines and comprehension schema as an adjoint functor" ;; https://github.com/mattearnshaw/lawvere/tree/master/pdfs ;; https://github.com/mattearnshaw/lawvere/blob/master/pdfs/1970-equality-in-hyperdoctrines-and-comprehension-schema-as-an-adjoint-functor.pdf (best) ;; https://ncatlab.org/nlab/files/LawvereComprehension.pdf ;; https://ncatlab.org/nlab/show/Equality+in+hyperdoctrines+and+comprehension+schema+as+an+adjoint+functor ;; https://ncatlab.org/nlab/show/Frobenius+reciprocity#References (code-pdf-page "lawvereequahyp" "~/books/__cats/lawvere__equality_in_hyperdoctrines_and_comprehension_schema_as_an_adjoint_functor.pdf") (code-pdf-text "lawvereequahyp" "~/books/__cats/lawvere__equality_in_hyperdoctrines_and_comprehension_schema_as_an_adjoint_functor.pdf") ;; (find-lawvereequahyppage) ;; (find-lawvereequahyptext) ;; (find-lawvereequahyppage 5 "reflexivity") ;; (find-lawvereequahyptext 5 "reflexivity") ;; (find-lawvereequahyppage 6 "in an arbitrary eed") ;; (find-lawvereequahyptext 6 "in an arbitrary eed") ;; (find-lawvereequahyppage 6 "PROPOSITION (SUBSTITUTIVITY OF EQUALITY)") ;; (find-lawvereequahyptext 6 "PROPOSITION (SUBSTITUTIVITY OF EQUALITY)") ;; (find-lawvereequahyppage 6 "(1) Frobenius Reciprocity holds") ;; (find-lawvereequahyptext 6 "(1) Frobenius Reciprocity holds") ;; (find-lawvereequahyppage 8 "Beck condition") ;; (find-lawvereequahyptext 8 "Beck condition") ;; "Equality in Hyperdoctrines and Comprehension Schema as an Adjoint ;; Functor" - Proceedings of the American Mathematical Society ;; Symposium on Pure Mathematics XVII (1970), 1-14. ;; ;; http://www.acsu.buffalo.edu/~wlawvere/subject.html ;; http://angg.twu.net/books/__cats/ ;; http://angg.twu.net/books/__cats/lawvere__equality_in_hyperdoctrines__1970.djvu ;; http://books.google.com/books?id=3Lyvsc694T4C&printsec=frontcover ;; [I scanned this one myself]. (code-djvu "lawvere70" "~/books/__cats/lawvere__equality_in_hyperdoctrines__1970.djvu") ;; (find-lawvere70page 1 "Contents") ;; (find-lawvere70page (+ 1 1) "Index") ;; «lawvere-taking» (to ".lawvere-taking") ;; (find-books "__cats/__cats.el" "lawvere-taking") ;; Lawvere: "Taking Categories Seriously" (TAC reprints) ;; http://www.tac.mta.ca/tac/reprints/articles/8/tr8abs.html ;; http://www.tac.mta.ca/tac/reprints/articles/8/tr8.pdf (code-pdf-page "lawveretak" "$S/http/www.tac.mta.ca/tac/reprints/articles/8/tr8.pdf") (code-pdf-text "lawveretak" "$S/http/www.tac.mta.ca/tac/reprints/articles/8/tr8.pdf") ;; (find-lawveretakpage) ;; (find-lawveretaktext) ;; «lawvere-etcs» (to ".lawvere-etcs") ;; (find-books "__cats/__cats.el" "lawvere-etcs") ;; http://www.tac.mta.ca/tac/reprints/articles/11/tr11abs.html ;; http://www.tac.mta.ca/tac/reprints/articles/11/tr11.pdf (code-pdf-page "lawvereetcs" "$S/http/www.tac.mta.ca/tac/reprints/articles/11/tr11.pdf") (code-pdf-text "lawvereetcs" "$S/http/www.tac.mta.ca/tac/reprints/articles/11/tr11.pdf") ;; (find-lawvereetcspage) ;; (find-lawvereetcstext) ;; https://github.com/mattearnshaw/lawvere/blob/master/pdfs/1992-categories-of-space-and-quantity.pdf ;; https://github.com/mattearnshaw/lawvere/raw/master/pdfs/1992-categories-of-space-and-quantity.pdf (code-pdf-page "lawverecatspq" "$S/https/github.com/mattearnshaw/lawvere/raw/master/pdfs/1992-categories-of-space-and-quantity.pdf") (code-pdf-text "lawverecatspq" "$S/https/github.com/mattearnshaw/lawvere/raw/master/pdfs/1992-categories-of-space-and-quantity.pdf" -13) ;; (find-lawverecatspqpage) ;; (find-lawverecatspqtext) ;; (find-lawverecatspqpage (+ -13 24) "Pythagoras-Steiner-Burnside") ;; (find-lawverecatspqtext (+ -13 24) "Pythagoras-Steiner-Burnside") ;; «lawvere-perugia» (to ".lawvere-perugia") ;; (find-books "__cats/__cats.el" "lawvere-perugia") ;; https://github.com/mattearnshaw/lawvere/blob/master/pdfs/1972-perugia-lecture-notes.pdf (code-pdf-page "lawvere-perugia" "~/books/__cats/lawvere__perugia_lecture_notes.pdf") (code-pdf-text "lawvere-perugia" "~/books/__cats/lawvere__perugia_lecture_notes.pdf" 4) ;; (find-lawvere-perugiapage) ;; (find-lawvere-perugiapage (+ 4 1) "1. The topos of abstract sets and mappings") ;; (find-lawvere-perugiatext (+ 4 1) "1. The topos of abstract sets and mappings") ;; (find-lawvere-perugiapage (+ 4 12) "2. Subsets, images, and choice") ;; (find-lawvere-perugiatext (+ 4 12) "2. Subsets, images, and choice") ;; (find-lawvere-perugiapage (+ 4 23) "Lesson 2") ;; (find-lawvere-perugiatext (+ 4 23) "Lesson 2") ;; (find-lawvere-perugiapage (+ 4 23) "1. Generating families") ;; (find-lawvere-perugiatext (+ 4 23) "1. Generating families") ;; (find-lawvere-perugiapage (+ 4 45) "2. Finite (inverse or projective) limits") ;; (find-lawvere-perugiatext (+ 4 45) "2. Finite (inverse or projective) limits") ;; (find-lawvere-perugiapage (+ 4 59) "3. Images and \"Existence\"") ;; (find-lawvere-perugiatext (+ 4 59) "3. Images and \"Existence\"") ;; (find-lawvere-perugiapage (+ 4 89) "Lesson 3") ;; (find-lawvere-perugiatext (+ 4 89) "Lesson 3") ;; (find-lawvere-perugiapage (+ 4 89) "1. Introduction to Yoneda's lemma and Kan extension") ;; (find-lawvere-perugiatext (+ 4 89) "1. Introduction to Yoneda's lemma and Kan extension") ;; (find-lawvere-perugiapage (+ 4 116) "4. Large categories with an S-atlas of families") ;; (find-lawvere-perugiatext (+ 4 116) "4. Large categories with an S-atlas of families") ;; (find-lawvere-perugiapage (+ 4 134) "5. Adequacy and density") ;; (find-lawvere-perugiatext (+ 4 134) "5. Adequacy and density") ;; (find-lawvere-perugiapage (+ 4 139) "Lesson 4") ;; (find-lawvere-perugiatext (+ 4 139) "Lesson 4") ;; (find-lawvere-perugiapage (+ 4 139) "1. Functorial semantics of algebraic theories") ;; (find-lawvere-perugiatext (+ 4 139) "1. Functorial semantics of algebraic theories") ;; (find-lawvere-perugiapage (+ 4 140) "2. Colimit preservation by modified Yoneda embedding") ;; (find-lawvere-perugiatext (+ 4 140) "2. Colimit preservation by modified Yoneda embedding") ;; (find-lawvere-perugiapage (+ 4 147) "3. Structure as the adjoint of semantics") ;; (find-lawvere-perugiatext (+ 4 147) "3. Structure as the adjoint of semantics") ;; (find-lawvere-perugiatext "") ;; «lawvere-thesis» (to ".lawvere-thesis") ;; (find-books "__cats/__cats.el" "lawvere-thesis") ;; "Functorial Semantics of Algebraic Theories" (thesis, 1963): ;; http://www.tac.mta.ca/tac/reprints/ ;; http://www.tac.mta.ca/tac/reprints/articles/5/tr5.pdf (code-pdf-page "lawverethesis" "$S/http/www.tac.mta.ca/tac/reprints/articles/5/tr5.pdf") (code-pdf-text "lawverethesis" "$S/http/www.tac.mta.ca/tac/reprints/articles/5/tr5.pdf") ;; (find-lawverethesispage) ;; (find-lawverethesistext) ;; (find-lawverethesispage 16 "semantics has an adjoint called \"structure\"") ;; (find-lawverethesistext 16 "semantics has an adjoint called \"structure\"") ;; (find-lawverethesispage 6 "A Author's comments") ;; (find-lawverethesispage 8 "1 Seven ideas introduced in the 1963 thesis") ;; (find-lawverethesispage 9 "2 Delays and Developments") ;; (find-lawverethesispage 10 "3 Comments on the chapters of the 1963 Thesis") ;; (find-lawverethesispage 17 "4 Some developments related to the problem list in the 1968 Article") ;; (find-lawverethesispage 18 "5 Concerning Notation and Terminology") ;; (find-lawverethesispage 20 "6 Outlook") ;; (find-lawverethesispage 20 "References") ;; (find-lawverethesispage 23 "B Functorial Semantics of Algebraic Theories") ;; (find-lawverethesispage 24 "Introduction") ;; (find-lawverethesispage 26 "I The category of categories and adjoint functors") ;; (find-lawverethesispage 26 "1 The category of categories") ;; (find-lawverethesispage 27 "The arrow category 2 is") ;; (find-lawverethesistext 27 "The arrow category 2 is") ;; (find-lawverethesispage 38 "2 Adjoint functors") ;; (find-lawverethesispage 39 "then we say g is adjoint to f") ;; (find-lawverethesistext 39 "then we say g is adjoint to f") ;; (find-lawverethesispage 58 "3 Regular epimorphisms and monomorphisms") ;; (find-lawverethesispage 61 "II Algebraic theories") ;; (find-lawverethesispage 61 "1 The category of algebraic theories") ;; (find-lawverethesispage 69 "2 Presentations of algebraic theories") ;; (find-lawverethesispage 74 "III Algebraic categories") ;; (find-lawverethesispage 74 "1 Semantics as a coadjoint functor") ;; (find-lawverethesispage 81 "2 Characterization of algebraic categories") ;; (find-lawverethesispage 90 "IV Algebraic functors") ;; (find-lawverethesispage 90 "1 The algebra engendered by a prealgebra") ;; (find-lawverethesispage 93 "2 Algebraic functors and their adjoints") ;; (find-lawverethesispage 97 "V Certain 0-ary and unary extensions of algebraic theories") ;; (find-lawverethesispage 97 "1 Presentations of algebras: polynomial algebras") ;; (find-lawverethesispage 102 "2 Monoids of operators") ;; (find-lawverethesispage 105 "3 Rings of operators (Theories of categories of modules)") ;; (find-lawverethesispage 106 "References") ;; (find-lawverethesispage 108 "Functorial Semantics of Algebraic Theories") ;; (find-lawverethesispage 109 "1 Basic concepts") ;; (find-lawverethesispage 112 "2 Methodological remarks and examples") ;; (find-lawverethesispage 115 "3 Solved problems") ;; (find-lawverethesispage 118 "4 Unsolved problems") ;; (find-lawverethesispage 119 "5 Completion problems") ;; (find-lawverethesispage 120 "References") ;; «lawvere-rosebrugh» (to ".lawvere-rosebrugh") ;; (find-books "__cats/__cats.el" "lawvere-rosebrugh") ;; http://www.mta.ca/~rrosebru/setsformath/ (code-pdf "lawveresetsmath" "~/books/__cats/lawvere_rosebrugh__sets_for_mathematics.pdf") (code-pdftotext "lawveresetsmath" "~/books/__cats/lawvere_rosebrugh__sets_for_mathematics.pdf" 15) ;; (find-lawveresetsmathpage) ;; (find-lawveresetsmathpage 6 "Contents") ;; (find-lawveresetsmathpage (+ 15 2) "internal diagram") ;; (find-lawveresetsmathpage (+ 15 29) "Example: cographs") ;; (find-lawveresetsmathpage (+ 15 80) "Show that the cograph is an" "epimorphism") ;; (find-lawveresetsmathpage (+ 15 190) "cograph of f") ;; (find-lawveresetsmathpage (+ 15 190) "cograph of f but with different adjunction") ;; (find-lawveresetsmathpage (+ 15 257) "Index") ;; (find-lawveresetsmathtext "") ;; «lawvere-schanuel» (to ".lawvere-schanuel") ;; (find-books "__cats/__cats.el" "lawvere-schanuel") ;; (find-LATEX "catsem-u.bib" "bib-LawvereSchanuel") ;; (find-angg ".emacs.papers" "lawvere-schanuel") ;; http://books.google.com/books?id=o1tHw4W5MZQC (code-pdf-page "lawvereconcmath" "~/books/__cats/lawvere_schanuel__conceptual_mathematics.pdf") (code-pdf-text "lawvereconcmath" "~/books/__cats/lawvere_schanuel__conceptual_mathematics.pdf" 1) ;; (find-lawvereconcmathpage) ;; (find-lawvereconcmathpage 6 "Contents") ;; (find-lawvereconcmathpage (+ 15 3) "") ;; (find-lawvereconcmathpage (+ 15 13) "internal diagram of a set") ;; (find-lawvereconcmathpage (+ 15 28) "3. External diagrams") ;; (find-lawvereconcmathpage (+ 15 76) "6. Stacking in a Chinese Restaurant") ;; (find-lawvereconcmathpage (+ 13 135) "III. Examples of categories") ;; (find-lawvereconcmathpage (+ 13 161) "12. Categories of diagrams") ;; (find-lawvereconcmathpage (+ 13 166) "13. Monoids") ;; (find-lawvereconcmathpage (+ 13 170) "14. Maps preserve positive properties") ;; (find-lawvereconcmathpage (+ 13 175) "15. Objectification of properties in dynamical systems") ;; (find-lawvereconcmathpage (+ 13 187) "16. Idempotents, involutions, and graphs") ;; (find-lawvereconcmathpage (+ 13 196) "17. Some uses of graphs") ;; (find-lawvereconcmathpage (+ 13 213) "IV. Universal mapping properties") ;; (find-lawvereconcmathpage (+ 13 230) "Points of an object") ;; (find-lawvereconcmathpage (+ 15 245) "22. Universal mapping properties") ;; (find-lawvereconcmathpage (+ 13 294) "cograph") ;; (find-lawvereconcmathpage (+ 13 353) "Index") ;; (find-lawvereconcmathtext "") ;; «lawvere-interview» (to ".lawvere-interview") ;; http://www.mat.uc.pt/~picado/lawvere/interview.pdf (code-pdf-page "lawvereintpic" "$S/http/www.mat.uc.pt/~picado/lawvere/interview.pdf") (code-pdf-text "lawvereintpic" "$S/http/www.mat.uc.pt/~picado/lawvere/interview.pdf") ;; (find-lawvereintpicpage) ;; (find-lawvereintpictext) ;; (find-lawvereintpicpage 13 "no need to verify in every instance") ;; (find-lawvereintpictext 13 "no need to verify in every instance") ;; (find-lawvereintpicpage 18 "were burned down by police") ;; (find-lawvereintpictext 18 "were burned down by police") ;; http://books.google.com/books?id=3Lyvsc694T4C&pg=PA1&source=gbs_toc_r&cad=6 Heller ;; «lawvere-comments» (to ".lawvere-comments") ;; "Comments on The Development of Topos Theory" ;; http://www.tac.mta.ca/tac/reprints/articles/24/tr24abs.html ;; http://www.tac.mta.ca/tac/reprints/articles/24/tr24.pdf ;; (find-fline "$S/http/www.tac.mta.ca/tac/reprints/articles/24/") (code-pdf-page "lawverecommodtt" "$S/http/www.tac.mta.ca/tac/reprints/articles/24/tr24.pdf") (code-pdf-text "lawverecommodtt" "$S/http/www.tac.mta.ca/tac/reprints/articles/24/tr24.pdf") ;; (find-lawverecommodttpage) ;; (find-lawverecommodtttext) ;; «leinster» (to ".leinster") ;; https://www.maths.ed.ac.uk/~tl/ ;; https://www.maths.ed.ac.uk/~tl/bct/ ;; https://golem.ph.utexas.edu/category/2010/03/a_perspective_on_higher_catego.html ;; ;; «leinster-basic» (to ".leinster-basic") ;; (find-books "__cats/__cats.el" "leinster-basic") ;; (find-LATEX "catsem-u.bib" "bib-Leinster") ;; Tom Leinster: "Basic Category Theory" (2016) ;; https://arxiv.org/abs/1612.09375 ;; https://arxiv.org/pdf/1612.09375.pdf (code-pdf-page "leinsterbasic" "$S/https/arxiv.org/pdf/1612.09375.pdf") (code-pdf-text "leinsterbasic" "$S/https/arxiv.org/pdf/1612.09375.pdf" 8) ;; (find-leinsterbasicpage) ;; (find-leinsterbasictext) ;; (find-leinsterbasicpage 5 "Contents") ;; (find-leinsterbasictext 5 "Contents") ;; (find-leinsterbasicpage (+ 8 1) "Introduction") ;; (find-leinsterbasictext (+ 8 1) "Introduction") ;; (find-leinsterbasicpage (+ 8 1) "universal property") ;; (find-leinsterbasictext (+ 8 1) "universal property") ;; (find-leinsterbasicpage (+ 8 9) "1 Categories, functors and natural transformations") ;; (find-leinsterbasicpage (+ 8 10) "1.1 Categories") ;; (find-leinsterbasicpage (+ 8 17) "1.2 Functors") ;; (find-leinsterbasicpage (+ 8 27) "1.3 Natural transformations") ;; (find-leinsterbasicpage (+ 8 41) "2 Adjoints") ;; (find-leinsterbasicpage (+ 8 41) "2.1 Definition and examples") ;; (find-leinsterbasicpage (+ 8 50) "2.2 Adjunctions via units and counits") ;; (find-leinsterbasicpage (+ 8 58) "2.3 Adjunctions via initial objects") ;; (find-leinsterbasicpage (+ 8 65) "3 Interlude on sets") ;; (find-leinsterbasicpage (+ 8 66) "3.1 Constructions with sets") ;; (find-leinsterbasicpage (+ 8 72) "What is the black king in chess?") ;; (find-leinsterbasictext (+ 8 72) "What is the black king in chess?") ;; (find-leinsterbasicpage (+ 8 73) "3.2 Small and large categories") ;; (find-leinsterbasicpage (+ 8 78) "3.3 Historical remarks") ;; (find-leinsterbasicpage (+ 8 83) "4 Representables") ;; (find-leinsterbasicpage (+ 8 84) "4.1 Definitions and examples") ;; (find-leinsterbasicpage (+ 8 86) "Lemma 4.1.10") ;; (find-leinsterbasictext (+ 8 86) "Lemma 4.1.10") ;; (find-leinsterbasictext (+ 8 87) "4.1.11" "with a left adjoint is representable") ;; (find-leinsterbasicpage (+ 8 93) "4.2 The Yoneda lemma") ;; (find-leinsterbasicpage (+ 8 97) "is determinded by its value at 1_A") ;; (find-leinsterbasicpage (+ 8 99) "4.3 Consequences of the Yoneda lemma") ;; (find-leinsterbasicpage (+ 8 107) "5 Limits") ;; (find-leinsterbasicpage (+ 8 107) "5.1 Limits: definition and examples") ;; (find-leinsterbasicpage (+ 8 126) "5.2 Colimits: definition and examples") ;; (find-leinsterbasicpage (+ 8 136) "5.3 Interactions between functors and limits") ;; (find-leinsterbasicpage (+ 8 142) "6 Adjoints, representables and limits") ;; (find-leinsterbasicpage (+ 8 142) "6.1 Limits in terms of representables and adjoints") ;; (find-leinsterbasicpage (+ 8 146) "6.2 Limits and colimits of presheaves") ;; (find-leinsterbasicpage (+ 8 158) "6.3 Interactions between adjoint functors and limits") ;; (find-leinsterbasicpage (+ 8 171) "Appendix Proof of the general adjoint functor theorem") ;; (find-leinsterbasicpage (+ 8 174) "Further reading") ;; (find-leinsterbasicpage (+ 8 177) "Index of notation") ;; (find-leinsterbasicpage (+ 8 178) "Index") ;; «leinster-topos» (to ".leinster-topos") ;; (find-books "__cats/__cats.el" "leinster-topos") ;; "An informal introduction to topos theory" (2011) ;; https://arxiv.org/abs/1012.5647 ;; https://arxiv.org/pdf/1012.5647.pdf (code-pdf-page "leinsteriitt" "$S/https/arxiv.org/pdf/1012.5647.pdf") (code-pdf-text "leinsteriitt" "$S/https/arxiv.org/pdf/1012.5647.pdf") ;; (find-leinsteriittpage) ;; (find-leinsteriitttext) ;; https://www.maths.ed.ac.uk/~tl/docs/strike_door_poster.pdf ;; https://www.maths.ed.ac.uk/~tl/elements.pdf "Doing without diagrams" (code-pdf-page "leinsterdwd" "$S/https/www.maths.ed.ac.uk/~tl/elements.pdf") (code-pdf-text "leinsterdwd" "$S/https/www.maths.ed.ac.uk/~tl/elements.pdf") ;; (find-leinsterdwdpage) ;; (find-leinsterdwdtext) ;; ;; https://arxiv.org/pdf/1212.6543.pdf "Rethinking Set Theory" (code-pdf-page "leinsterrst" "$S/https/arxiv.org/pdf/1212.6543.pdf") (code-pdf-text "leinsterrst" "$S/https/arxiv.org/pdf/1212.6543.pdf") ;; (find-leinsterrstpage) ;; (find-leinsterrsttext) ;; ;; http://www.maths.ed.ac.uk/~tl/categories/yoneda.ps "The Yoneda Lemma: What's It All About?" ;; http://www.maths.ed.ac.uk/~tl/categories/yoneda.pdf ;; (find-sh "cd $S/http/www.maths.ed.ac.uk/~tl/categories/ && ps2pdf yoneda.ps") (code-pdf-page "leinsteryon" "$S/http/www.maths.ed.ac.uk/~tl/categories/yoneda.pdf") (code-pdf-text "leinsteryon" "$S/http/www.maths.ed.ac.uk/~tl/categories/yoneda.pdf") ;; (find-leinsteryonpage) ;; (find-leinsteryontext) ;; ;; "The categorical origins of Lebesgue integration" ;; https://www.maths.ed.ac.uk/~tl/cambridge_ct14/cambridge_ct14_talk.pdf (code-pdf-page "leinsterleb" "$S/https/www.maths.ed.ac.uk/~tl/cambridge_ct14/cambridge_ct14_talk.pdf") (code-pdf-text "leinsterleb" "$S/https/www.maths.ed.ac.uk/~tl/cambridge_ct14/cambridge_ct14_talk.pdf") ;; (find-leinsterlebpage) ;; (find-leinsterlebtext) ;; ;; "A Survey of Definitions of n-Category" ;; http://www.tac.mta.ca/tac/volumes/10/1/10-01.pdf (code-pdf-page "leinsterdefnscat" "$S/http/www.tac.mta.ca/tac/volumes/10/1/10-01.pdf") (code-pdf-text "leinsterdefnscat" "$S/http/www.tac.mta.ca/tac/volumes/10/1/10-01.pdf") ;; (find-leinsterdefnscatpage) ;; (find-leinsterdefnscattext) ;; «leung» (to ".leung") ;; (find-books "__cats/__cats.el" "leung") ;; http://hdl.handle.net/1959.14/1260669 Poon Leung's thesis: ;; "Tangent Bundles, Monoidal Theories, and Weil Algebras" (code-pdf-page "leungthesis" "~/books/__cats/leung__tangent_bundles_monoidal_theories_and_weil_algebras.pdf") (code-pdf-text "leungthesis" "~/books/__cats/leung__tangent_bundles_monoidal_theories_and_weil_algebras.pdf" 1) ;; (find-leungthesispage) ;; (find-leungthesispage 3 "Contents") ;; (find-leungthesispage (+ 1 189) "Index") ;; (find-leungthesistext "") ;; ;; "The Free Tangent Structure" ;; https://arxiv.org/abs/1605.07275 ;; https://arxiv.org/pdf/1605.07275.pdf (code-pdf-page "leungfts" "$S/https/arxiv.org/pdf/1605.07275.pdf") (code-pdf-text "leungfts" "$S/https/arxiv.org/pdf/1605.07275.pdf") ;; (find-leungftspage) ;; (find-leungftstext) ;; «licata» (to ".licata") ;; https://dlicata.wescreates.wesleyan.edu/ ;; https://dlicata.wescreates.wesleyan.edu/pubs/lsr17multi/lsr17multi-ex.pdf ;; Licata/Shulman/Riley: "A Fibrational Framework for Substructural and Modal Logics (ext. version)" (code-pdf-page "ffsubmol" "$S/https/dlicata.wescreates.wesleyan.edu/pubs/lsr17multi/lsr17multi-ex.pdf") (code-pdf-text "ffsubmol" "$S/https/dlicata.wescreates.wesleyan.edu/pubs/lsr17multi/lsr17multi-ex.pdf") ;; (find-ffsubmolpage) ;; (find-ffsubmoltext) ;; «licata-pitts-spitters» (to ".licata-pitts-spitters") ;; (find-books "__cats/__cats.el" "licata-pitts-spitters") ;; Licata/Orton/Pitts/Spitters: "Internal Universes in Models of Homotopy Type Theory" ;; https://www.cl.cam.ac.uk/~rio22/ Ian Orton ;; https://arxiv.org/abs/1801.07664 ;; https://arxiv.org/pdf/1801.07664.pdf (code-pdf-page "iumhott" "$S/https/arxiv.org/pdf/1801.07664.pdf") (code-pdf-text "iumhott" "$S/https/arxiv.org/pdf/1801.07664.pdf") ;; (find-iumhottpage) ;; (find-iumhotttext) ;; (find-iumhottpage 6 "Definition 2.2 (fibrations).") ;; (find-iumhotttext 6 "Definition 2.2 (fibrations).") ;; «licata-vett» (to ".licata-vett") ;; (find-books "__cats/__cats.el" "licata") ;; https://link.springer.com/chapter/10.1007/978-3-031-30829-1_6 (code-pdf-page "licatavett" "~/books/__cats/fossacs-2023.pdf") (code-pdf-text "licatavett" "~/books/__cats/fossacs-2023.pdf" 1) ;; (find-licatavettpage) ;; (find-licatavettpage 12 "Contents") ;; (find-licatavettpage (+ 13 113) "A Formal Logic for Formal Category Theory") ;; (find-licatavetttext "") ;; ;; http://www.cs.tulane.edu/~alindenh/ ;; «lindenhovius-gtop» (to ".lindenhovius-gtop") ;; (find-books "__cats/__cats.el" "lindenhovius-gtop") ;; (find-LATEX "2020lindenhovius.tex") ;; A.J. Lindenhovius: Grothendieck topologies on posets ;; https://arxiv.org/abs/1405.4408v2 ;; https://arxiv.org/pdf/1405.4408v2.pdf ;; https://ncatlab.org/nlab/show/nucleus ;; (find-sh0 "cp -v $S/https/arxiv.org/pdf/1405.4408v2.pdf /tmp/lind.pdf") (code-pdf-page "grtopsonposets" "$S/https/arxiv.org/pdf/1405.4408v2.pdf") (code-pdf-text "grtopsonposets" "$S/https/arxiv.org/pdf/1405.4408v2.pdf") ;; (find-grtopsonposetspage) ;; (find-grtopsonposetstext) ;; (find-grtopsonposetspage 3 "1 Preliminaries on order theory") ;; (find-grtopsonposetspage 8 "2 Grothendieck topologies on posets") ;; (find-grtopsonposetspage 11 "Proposition 2.8") ;; (find-grtopsonposetstext 11 "Proposition 2.8") ;; (find-grtopsonposetspage 14 "3 Non-Artinian and downwards directed posets") ;; (find-grtopsonposetspage 21 "4 Sheaves and morphisms of sites") ;; (find-grtopsonposetspage 35 "5 Other Grothendieck topologies and its sheaves") ;; (find-grtopsonposetspage 43 "Conclusion") ;; (find-grtopsonposetstext 43 "Conclusion") ;; (find-grtopsonposetspage 44 "A The poset of commutative unital C*-subalgebras of a C*-algebra") ;; (find-grtopsonposetspage 48 "B Grothendieck topologies and Locale Theory") ;; (find-grtopsonposetspage 70 "C Structures induced by a subset of a poset") ;; (find-grtopsonposetspage 77 "References") ;; (find-grtopsonposetstext 77 "References") ;; «lindenhovius-phd» (to ".lindenhovius-phd") ;; (find-books "__cats/__cats.el" "lindenhovius-phd") ;; https://www.math.ru.nl/~landsman/Lindenhovius.pdf ;; (find-fline "$S/https/www.math.ru.nl/~landsman/") (code-pdf-page "lindenhoviusphd" "$S/https/www.math.ru.nl/~landsman/Lindenhovius.pdf") (code-pdf-text "lindenhoviusphd" "$S/https/www.math.ru.nl/~landsman/Lindenhovius.pdf") ;; (find-lindenhoviusphdpage) ;; (find-lindenhoviusphdtext) ;; (find-lindenhoviusphdpage 6 "Contents") ;; (find-lindenhoviusphdtext 6 "Contents") ;; (find-lindenhoviusphdpage 195 "10 Grothendieck topologies") ;; (find-lindenhoviusphdtext 195 "10 Grothendieck topologies") ;; «logan» (to ".logan") ;; (find-books "__cats/__cats.el" "logan") (code-pdf-page "loganhypslides" "~/books/__cats/logan__hyperdoctrines_and_why_you_should_care_about_them.pdf") (code-pdf-text "loganhypslides" "~/books/__cats/logan__hyperdoctrines_and_why_you_should_care_about_them.pdf" 1) ;; (find-loganhypslidespage) ;; (find-loganhypslidespage 1 "Contents") ;; (find-loganhypslidespage (+ 1 189) "Index") ;; (find-loganhypslidestext "") ;; «loregian» (to ".loregian") ;; (find-books "__cats/__cats.el" "loregian") ;; See: (find-books "__cats/__cats.el" "caccamo-winskel") ;; https://ncatlab.org/nlab/show/Fosco+Loregian ;; https://scholar.google.es/citations?user=Jj_0mHgAAAAJ&hl=en ;; https://arxiv.org/search/math?searchtype=author&query=Loregian%2C+F ;; https://arxiv.org/abs/1501.02503 Coend calculus ;; https://arxiv.org/pdf/1501.02503.pdf ;; (find-psne-arxiv-links "https://arxiv.org/pdf/1501.02503.pdf" "coendcalculus") ;; https://www.cambridge.org/core/books/coend-calculus/C662E90767358B336F17B606D19D8C43 ;; http://tetrapharmakon.github.io/ ;; (code-pdf-page "coendcalculus" "~/books/__cats/loregian__coend_calculus.pdf") ;; (code-pdf-text "coendcalculus" "~/books/__cats/loregian__coend_calculus.pdf" 20) (code-pdf-page "coendcalculus" "$S/https/arxiv.org/pdf/1501.02503.pdf") (code-pdf-text "coendcalculus" "$S/https/arxiv.org/pdf/1501.02503.pdf" 20) ;; (find-coendcalculuspage) ;; (find-coendcalculustext) ;; (find-coendcalculuspage) ;; (find-coendcalculuspage 3 "Contents") ;; (find-coendcalculustext 3 "Contents") ;; (find-coendcalculuspage 9 "deduction rules") ;; (find-coendcalculustext 9 "deduction rules") ;; (find-coendcalculuspage (+ 20 1) "1 Dinaturality and co/ends") ;; (find-coendcalculuspage (+ 20 1) "1.1 Supernaturality") ;; (find-coendcalculuspage (+ 20 11) "1.2 Co/ends as co/limits") ;; (find-coendcalculuspage (+ 20 17) "1.3 The Fubini rule") ;; (find-coendcalculuspage (+ 20 21) "1.4 First instances of co/ends") ;; (find-coendcalculuspage (+ 20 24) "Exercises") ;; (find-coendcalculuspage (+ 20 30) "2 Yoneda and Kan") ;; (find-coendcalculuspage (+ 20 31) "2.1 A brief recap: the Yoneda lemma and Kan extensions") ;; (find-coendcalculuspage (+ 20 34) "2.2 Yoneda lemma using co/ends") ;; (find-coendcalculuspage (+ 20 37) "2.3 Kan extensions using co/ends") ;; (find-coendcalculuspage (+ 20 38) "Proposition 2.3.5") ;; (find-coendcalculustext (+ 20 38) "Proposition 2.3.5") ;; (find-coendcalculuspage (+ 20 44) "2.4 A Yoneda structure on Cat") ;; (find-coendcalculuspage (+ 20 50) "2.5 Addendum: relative monads") ;; (find-coendcalculuspage (+ 20 65) "Exercises") ;; (find-coendcalculuspage (+ 20 70) "3 Nerves and realisations") ;; (find-coendcalculuspage (+ 20 70) "3.1 The classical nerve and realisation") ;; (find-coendcalculuspage (+ 20 75) "3.2 Abstract realisations and nerves") ;; (find-coendcalculuspage (+ 20 86) "Exercises") ;; (find-coendcalculuspage (+ 20 90) "4 Weighted co/limits") ;; (find-coendcalculuspage (+ 20 92) "4.1 Weighted limits and colimits") ;; (find-coendcalculuspage (+ 20 97) "4.2 Examples of weighted colimits") ;; (find-coendcalculuspage (+ 20 103) "4.3 Enriched co/ends") ;; (find-coendcalculuspage (+ 20 110) "Exercises") ;; (find-coendcalculuspage (+ 20 113) "5 Profunctors") ;; (find-coendcalculuspage (+ 20 113) "5.1 The 2-category of profunctors") ;; (find-coendcalculuspage (+ 20 119) "5.2 Embeddings and adjoints") ;; (find-coendcalculuspage (+ 20 124) "5.3 The structure of Prof") ;; (find-coendcalculuspage (+ 20 126) "5.4 A more abstract look at Prof") ;; (find-coendcalculuspage (+ 20 132) "Exercises") ;; (find-coendcalculuspage (+ 20 136) "6 Operads") ;; (find-coendcalculuspage (+ 20 137) "6.1 Introduction") ;; (find-coendcalculuspage (+ 20 138) "6.2 The convolution product") ;; (find-coendcalculuspage (+ 20 142) "6.3 Substitution product and operads") ;; (find-coendcalculuspage (+ 20 147) "6.4 Some advanced results") ;; (find-coendcalculuspage (+ 20 153) "Exercises") ;; (find-coendcalculuspage (+ 20 157) "7 Higher dimensional co/ends") ;; (find-coendcalculuspage (+ 20 158) "7.1 2-dimensional coends") ;; (find-coendcalculuspage (+ 20 174) "7.2 Coends in homotopy theory") ;; (find-coendcalculuspage (+ 20 190) "7.3 Co/ends in quasicategories") ;; (find-coendcalculuspage (+ 20 195) "7.4 Co/ends in a derivator") ;; (find-coendcalculuspage (+ 20 199) "Exercises") ;; (find-coendcalculuspage (+ 20 203) "8 Addenda et Paralipomena") ;; (find-coendcalculuspage (+ 20 203) "8.1 Fourier theory") ;; (find-coendcalculuspage (+ 20 208) "8.2 Tambara theory") ;; (find-coendcalculuspage (+ 20 212) "8.3 Coends in Haskell") ;; (find-coendcalculuspage (+ 20 216) "Exercises") ;; (find-coendcalculuspage (+ 20 219) "Appendix A Review of category theory") ;; (find-coendcalculuspage (+ 20 219) "A.1 Foundations") ;; (find-coendcalculuspage (+ 20 222) "A.2 Categories and functors") ;; (find-coendcalculuspage (+ 20 230) "A.3 Natural transformations") ;; (find-coendcalculuspage (+ 20 242) "A.4 Limits and colimits") ;; (find-coendcalculuspage (+ 20 256) "A.5 Adjunctions") ;; (find-coendcalculuspage (+ 20 265) "A.6 The Yoneda lemma") ;; (find-coendcalculuspage (+ 20 275) "A.7 Factorisation systems") ;; (find-coendcalculuspage (+ 20 279) "A.8 Monoidal categories and monads") ;; (find-coendcalculuspage (+ 20 287) "A.9 2-categories") ;; (find-coendcalculuspage (+ 20 295) "A.10 Higher categories") ;; (find-coendcalculuspage (+ 20 300) "A.11 Miscellaneous definitions") ;; (find-coendcalculuspage (+ 20 304) "Exercises") ;; (find-coendcalculuspage (+ 20 310) "Appendix B") ;; (find-coendcalculuspage (+ 20 313) "Bibliography") ;; (find-coendcalculustext "") ;; https://arxiv.org/pdf/1806.06129.pdf Categorical Notions of Fibration ;; ;; https://arxiv.org/abs/1804.08710 ;; https://arxiv.org/pdf/1804.08710.pdf (code-pdf-page "dilibertiloregian" "$S/https/arxiv.org/pdf/1804.08710.pdf") (code-pdf-text "dilibertiloregian" "$S/https/arxiv.org/pdf/1804.08710.pdf") ;; (find-dilibertiloregianpage) ;; (find-dilibertiloregiantext) ;; «low» (to ".low") ;; Zhen Lin Low: Universes for category theory ;; https://arxiv.org/abs/1304.5227 ;; https://arxiv.org/pdf/1304.5227.pdf ;; (find-fline "$S/https/arxiv.org/pdf/") (code-pdf-page "universesforct" "$S/https/arxiv.org/pdf/1304.5227.pdf") (code-pdf-text "universesforct" "$S/https/arxiv.org/pdf/1304.5227.pdf") ;; (find-universesforctpage) ;; (find-universesforcttext) ;; «lucatelli» (to ".lucatelli") ;; (find-books "__cats/__cats.el" "lucatelli") ;; (find-angg ".emacs.papers" "lucatelli") ;; https://arxiv.org/find/math/1/au:+Nunes_F/0/1/0/all/0/1 ;; «lucatelli-sfd» (to ".lucatelli-sfd") ;; "Semantic Factorization and Descent" ;; https://mail.google.com/mail/ca/u/0/?q=lua-l#inbox/FMfcgxwGCtFTVVJQjlBhbKwTRcfGqLzr ;; https://arxiv.org/abs/1902.01225 ;; https://arxiv.org/pdf/1902.01225.pdf ;; (find-psne-arxiv-links "https://arxiv.org/pdf/1902.01225.pdf" "lucatellisfd") (code-pdf-page "lucatellisfd0" "~/books/__cats/DescidaSemantica.pdf") (code-pdf-text "lucatellisfd0" "~/books/__cats/DescidaSemantica.pdf" 1) (code-pdf-page "lucatellisfd" "$S/https/arxiv.org/pdf/1902.01225.pdf") (code-pdf-text "lucatellisfd" "$S/https/arxiv.org/pdf/1902.01225.pdf") ;; (find-lucatellisfd0page) ;; (find-lucatellisfd0page 1 "Contents") ;; (find-lucatellisfd0page (+ 1 189) "Index") ;; (find-lucatellisfd0text "") ;; (find-lucatellisfdpage) ;; (find-lucatellisfdtext) ;; 2022, Applied Categorical Structures: (code-pdf-page "sfd" "~/books/__cats/lucatelli__semantic_factorization_descent.pdf") (code-pdf-text "sfd" "~/books/__cats/lucatelli__semantic_factorization_descent.pdf" 1) ;; (find-sfdpage) ;; (find-sfdpage 1 "Contents") ;; (find-sfdpage (+ 1 189) "Index") ;; (find-sfdtext "") ;; «lucatelli-pseudokan» (to ".lucatelli-pseudokan") ;; "Pseudo-Kan Extensions and Descent Theory" (2018) ;; http://www.mat.uc.pt/preprints/ps/p1630.pdf ;; https://arxiv.org/abs/1606.04999 ;; https://arxiv.org/pdf/1606.04999.pdf ;; http://www.tac.mta.ca/tac/volumes/33/15/33-15abs.html ;; http://www.tac.mta.ca/tac/volumes/33/15/33-15.pdf (code-pdf-page "lucatellipke00" "$S/http/www.mat.uc.pt/preprints/ps/p1630.pdf") (code-pdf-text "lucatellipke00" "$S/http/www.mat.uc.pt/preprints/ps/p1630.pdf") (code-pdf-page "lucatellipke0" "$S/https/arxiv.org/pdf/1606.04999.pdf") (code-pdf-text "lucatellipke0" "$S/https/arxiv.org/pdf/1606.04999.pdf") (code-pdf-page "lucatellikan" "$S/http/www.tac.mta.ca/tac/volumes/33/15/33-15.pdf") (code-pdf-text "lucatellikan" "$S/http/www.tac.mta.ca/tac/volumes/33/15/33-15.pdf" -389) ;; (find-lucatellipke00page) ;; (find-lucatellipke00text) ;; (find-lucatellipke0page) ;; (find-lucatellipke0text) ;; (find-lucatellikanpage) ;; (find-lucatellikantext) ;; (find-lucatellikanpage (+ -389 436) "9.1. Definition. [Pure Structure]") ;; (find-lucatellikantext (+ -389 436) "9.1. Definition. [Pure Structure]") ;; Clementino/Nunes: "Lax Comma 2-Categories and Admissible 2-Functors" ;; https://arxiv.org/abs/2002.03132 ;; https://arxiv.org/pdf/2002.03132.pdf (code-pdf-page "lucatellilaxcomma2c" "$S/https/arxiv.org/pdf/2002.03132.pdf") (code-pdf-text "lucatellilaxcomma2c" "$S/https/arxiv.org/pdf/2002.03132.pdf") ;; (find-lucatellilaxcomma2cpage) ;; (find-lucatellilaxcomma2ctext) ;; (find-psne-arxiv-links "https://arxiv.org/pdf/2002.03132.pdf" "lucatellilaxcomma2c") ;; (code-c-d "lucatellilaxcomma2c" "~/usrc/arxiv-lucatellilaxcomma2c/") ;; (find-lucatellilaxcomma2cfile "") ;; «lucatelli-pseudoa» (to ".lucatelli-pseudoa") ;; "Pseudoalgebras and Non-Canonical Isomorphisms" (2018) ;; https://doi.org/10.1007/s10485-018-9541-3 ;; https://arxiv.org/abs/1711.02051 ;; https://arxiv.org/pdf/1711.02051.pdf (code-pdf-page "lucatellipseudoa" "$S/https/arxiv.org/pdf/1711.02051.pdf") (code-pdf-text "lucatellipseudoa" "$S/https/arxiv.org/pdf/1711.02051.pdf") (code-pdf-page "lucatellipseudoa" "~/books/__cats/lucatelli__pseudoalgebras_and_non-canonical_isomorphisms.pdf") (code-pdf-text "lucatellipseudoa" "~/books/__cats/lucatelli__pseudoalgebras_and_non-canonical_isomorphisms.pdf" 1) ;; (find-lucatellipseudoapage) ;; (find-lucatellipseudoatext) ;; (find-lucatellipseudoapage) ;; (find-lucatellipseudoatext "") ;; «lurie» (to ".lurie") ;; https://www.math.ias.edu/~lurie/ ;; https://www.math.ias.edu/~lurie/papers/HTT.pdf (code-pdf-page "luriehtt" "$S/https/www.math.ias.edu/~lurie/papers/HTT.pdf") (code-pdf-text "luriehtt" "$S/https/www.math.ias.edu/~lurie/papers/HTT.pdf") ;; (find-luriehttpage) ;; (find-luriehtttext) ;; (find-luriehttpage 5 "Contents") ;; (find-luriehtttext 5 "Contents") ;; «macdonald-sobral» (to ".macdonald-sobral") ;; (find-books "__cats/__cats.el" "macdonald-sobral") ;; (find-books "__cats/__cats.el" "pedicchio-tholen") ;; (find-LATEX "2020macdonaldsobral.tex" "title") ;; https://www.cambridge.org/core/books/categorical-foundations/aspects-of-monads/DAE5E7135F78327CCBAA54D4B592E6CA ;; https://doi.org/10.1017/CBO9781107340985.008 (code-pdf-page "mcdsobral" "~/books/__cats/macdonald_sobral__aspects_of_monads.pdf") (code-pdf-text "mcdsobral" "~/books/__cats/macdonald_sobral__aspects_of_monads.pdf" -212) ;; (find-mcdsobralpage) ;; (find-mcdsobraltext "") ;; (find-mcdsobralpage (+ -212 215) "1. Monoids and monads") ;; (find-mcdsobraltext (+ -212 215) "1. Monoids and monads") ;; (find-mcdsobralpage (+ -212 216) "1.2. Monads") ;; (find-mcdsobraltext (+ -212 216) "1.2. Monads") ;; (find-mcdsobralpage (+ -212 217) "1.3. The Eilenberg-Moore construction") ;; (find-mcdsobraltext (+ -212 217) "1.3. The Eilenberg-Moore construction") ;; (find-mcdsobralpage (+ -212 220) "1.6. The Kleisli construction") ;; (find-mcdsobraltext (+ -212 220) "1.6. The Kleisli construction") ;; (find-mcdsobralpage (+ -212 239) "3. Conditions for the unit of a monad to be a monomorphism") ;; (find-mcdsobraltext (+ -212 239) "3. Conditions for the unit of a monad to be a monomorphism") ;; «maclane» (to ".maclane") ;; (find-books "__cats/__cats.el" "maclane") ;; find-LATEX "catsem-ab.bib" "bib-CWM2") ;; (find-LATEX "catsem-u.bib" "bib-MacLane") ;; (find-angg ".emacs.papers" "maclane") ;; (find-angg ".emacs.templates" "find-cwm-links") (code-pdf-page "cwm1" "~/books/__cats/maclane__cwm_springer_1st_ed.pdf") (code-pdf-text "cwm1" "~/books/__cats/maclane__cwm_springer_1st_ed.pdf" 9) (code-pdf-page "cwm2" "~/books/__cats/maclane__cwm_springer_2nd_ed.pdf") (code-pdf-text "cwm2" "~/books/__cats/maclane__cwm_springer_2nd_ed.pdf" 13) ;; (find-cwm1page) ;; (find-cwm1page 7 "Contents") ;; (find-cwm1page (+ 9 1) "Introduction") ;; (find-cwm1page (+ 3 253) "Index") ;; (find-cwm1text "") ;; (find-cwm2page) ;; (find-cwm2page 8 "Contents") ;; (find-cwm2page (+ 3 303) "Index") ;; (find-cwm2text "") ;; (find-cwm2page 5 "Preface to the Second Edition") ;; (find-cwm2page 6 "Preface to the First Edition") ;; (find-cwm2page (+ 11 1) "Introduction") ;; (find-cwm2page (+ 13 7) "I. Categories, Functors, and Natural Transformations") ;; (find-cwm2page (+ 13 10) "1. Axioms for Categories") ;; (find-cwm2page (+ 13 10) "2. Categories") ;; (find-cwm2page (+ 13 13) "3. Functors") ;; (find-cwm2page (+ 13 16) "4. Natural Transformations") ;; (find-cwm2page (+ 13 19) "5. Monics, Epis, and Zeros") ;; (find-cwm2page (+ 13 21) "6. Foundations") ;; (find-cwm2page (+ 13 24) "7. Large Categories") ;; (find-cwm2page (+ 13 27) "8. Hom-Sets") ;; (find-cwm2page (+ 13 31) "II. Constructions on Categories") ;; (find-cwm2page (+ 13 31) "1. Duality") ;; (find-cwm2page (+ 13 33) "2. Contravariance and Opposites") ;; (find-cwm2page (+ 13 36) "3. Products of Categories") ;; (find-cwm2page (+ 13 40) "4. Functor Categories") ;; (find-cwm2page (+ 13 42) "5. The Category of All Categories") ;; (find-cwm2page (+ 13 45) "6. Comma Categories") ;; (find-cwm2page (+ 13 48) "7. Graphs and Free Categories") ;; (find-cwm2page (+ 13 51) "8. Quotient Categories") ;; (find-cwm2page (+ 13 55) "III. Universals and Limits") ;; (find-cwm2page (+ 13 55) "1. Universal Arrows") ;; (find-cwm2page (+ 13 59) "2. The Yoneda Lemma") ;; (find-cwm2page (+ 13 60) "representation of a functor") ;; (find-cwm2page (+ 13 62) "3. Coproducts and Colimits") ;; (find-cwm2page (+ 13 68) "4. Products and Limits") ;; (find-cwm2page (+ 13 72) "5. Categories with Finite Products") ;; (find-cwm2page (+ 13 75) "6. Groups in Categories") ;; (find-cwm2page (+ 13 76) "7. Colimits of Representable Functors") ;; (find-cwm2page (+ 13 79) "IV. Adjoints") ;; (find-cwm2page (+ 13 79) "1. Adjunctions") ;; (find-cwm2page (+ 13 86) "2. Examples of Adjoints") ;; (find-cwm2page (+ 13 90) "3. Reflective Subcategories") ;; (find-cwm2page (+ 13 92) "4. Equivalence of Categories") ;; (find-cwm2page (+ 13 95) "5. Adjoints for Preorders") ;; (find-cwm2page (+ 13 97) "6. Cartesian Closed Categories") ;; (find-cwm2page (+ 13 99) "7. Transformations of Adjoints") ;; (find-cwm2page (+ 13 103) "8. Composition of Adjoints") ;; (find-cwm2page (+ 13 105) "9. Subsets and Characteristic Functions") ;; (find-cwm2page (+ 13 106) "10. Categories Like Sets") ;; (find-cwm2page (+ 13 109) "V. Limits") ;; (find-cwm2page (+ 13 109) "1. Creation of Limits") ;; (find-cwm2page (+ 13 112) "2. Limits by Products and Equalizers") ;; (find-cwm2page (+ 13 115) "3. Limits with Parameters") ;; (find-cwm2page (+ 13 116) "4. Preservation of Limits") ;; (find-cwm2page (+ 13 118) "5. Adjoints on Limits") ;; (find-cwm2page (+ 13 120) "6. Freyd's Adjoint Functor Theorem") ;; (find-cwm2page (+ 13 126) "7. Subobjects and Generators") ;; (find-cwm2page (+ 13 128) "8. The Special Adjoint Functor Theorem") ;; (find-cwm2page (+ 13 132) "9. Adjoints in Topology") ;; (find-cwm2page (+ 13 137) "VI. Monads and Algebras") ;; (find-cwm2page (+ 13 137) "1. Monads in a Category") ;; (find-cwm2page (+ 13 139) "2. Algebras for a Monad") ;; (find-cwm2page (+ 13 139) "Eilenberg-Moore") ;; (find-cwm2page (+ 13 142) "3. The Comparison with Algebras") ;; (find-cwm2page (+ 13 144) "4. Words and Free Semigroups") ;; (find-cwm2page (+ 13 147) "5. Free Algebras for a Monad") ;; (find-cwm2page (+ 13 149) "6. Split Coequalizers") ;; (find-cwm2page (+ 13 151) "7. Beck's Theorem") ;; (find-cwm2page (+ 13 156) "8. Algebras Are T-Algebras") ;; (find-cwm2page (+ 13 157) "9. Compact Hausdorff Spaces") ;; (find-cwm2page (+ 13 161) "VII. Monoids") ;; (find-cwm2page (+ 13 161) "1. Monoidal Categories") ;; (find-cwm2page (+ 13 165) "2. Coherence") ;; (find-cwm2page (+ 13 170) "3. Monoids") ;; (find-cwm2page (+ 13 174) "4. Actions") ;; (find-cwm2page (+ 13 175) "5. The Simplicial Category") ;; (find-cwm2page (+ 13 180) "6. Monads and Homology") ;; (find-cwm2page (+ 13 184) "7. Closed Categories") ;; (find-cwm2page (+ 13 185) "8. Compactly Generated Spaces") ;; (find-cwm2page (+ 13 188) "9. Loops and Suspensions") ;; (find-cwm2page (+ 13 191) "VIII. Abelian Categories") ;; (find-cwm2page (+ 13 191) "1. Kernels and Cokernels") ;; (find-cwm2page (+ 13 194) "2. Additive Categories") ;; (find-cwm2page (+ 13 198) "3. Abelian Categories") ;; (find-cwm2page (+ 13 202) "4. Diagram Lemmas") ;; (find-cwm2page (+ 13 211) "IX. Special Limits") ;; (find-cwm2page (+ 13 211) "1. Filtered Limits") ;; (find-cwm2page (+ 13 214) "2. Interchange of Limits") ;; (find-cwm2page (+ 13 217) "3. Final Functors.") ;; (find-cwm2page (+ 13 218) "4. Diagonal Naturality") ;; (find-cwm2page (+ 13 222) "5. Ends") ;; (find-cwm2page (+ 13 226) "6. Coends") ;; (find-cwm2page (+ 13 228) "7. Ends with Parameters") ;; (find-cwm2page (+ 13 230) "8. Iterated Ends and Limits") ;; (find-cwm2page (+ 13 233) "X. Kan Extensions") ;; (find-cwm2page (+ 13 233) "1. Adjoints and Limits") ;; (find-cwm2page (+ 13 235) "2. Weak Universality") ;; (find-cwm2page (+ 13 236) "3. The Kan Extension") ;; (find-cwm2page (+ 13 240) "4. Kan Extensions as Coends") ;; (find-cwm2page (+ 13 243) "5. Pointwise Kan Extensions") ;; (find-cwm2page (+ 13 245) "6. Density") ;; (find-cwm2page (+ 13 248) "7. All Concepts Are Kan Extensions") ;; (find-cwm2page (+ 13 251) "XI. Symmetry and Braiding in Monoidal Categories") ;; (find-cwm2page (+ 13 251) "1. Symmetric Monoidal Categories") ;; (find-cwm2page (+ 13 255) "2. Monoidal Functors") ;; (find-cwm2page (+ 13 257) "3. Strict Monoidal Categories") ;; (find-cwm2page (+ 13 260) "4. The Braid Groups Bn and the Braid Category") ;; (find-cwm2page (+ 13 263) "5. Braided Coherence") ;; (find-cwm2page (+ 13 266) "6. Perspectives") ;; (find-cwm2page (+ 13 267) "XII. Structures in Categories") ;; (find-cwm2page (+ 13 267) "1. Internal Categories") ;; (find-cwm2page (+ 13 270) "2. The Nerve of a Category") ;; (find-cwm2page (+ 13 272) "3. 2-Categories") ;; (find-cwm2page (+ 13 276) "4. Operations in 2-Categories") ;; (find-cwm2page (+ 13 279) "5. Single-Set Categories") ;; (find-cwm2page (+ 13 281) "6. Bicategories") ;; (find-cwm2page (+ 13 283) "7. Examples of Bicategories") ;; (find-cwm2page (+ 13 285) "8. Crossed Modules and Categories in Grp") ;; (find-cwm2page (+ 13 289) "Appendix. Foundations") ;; (find-cwm2page (+ 13 293) "Table of Standard Categories: Objects and Arrows") ;; (find-cwm2page (+ 13 295) "Table of Terminology") ;; (find-cwm2page (+ 13 297) "Bibliography") ;; (find-cwm2page (+ 13 303) "Index") ;; See: (find-books "__cats/__cats.el" "loregian") ;; See: (find-books "__cats/__cats.el" "loregian" "coend_calculus") ;; «maclane-bowdoin» (to ".maclane-bowdoin") ;; (find-books "__cats/__cats.el" "maclane-bowdoin") ;; https://ncatlab.org/nlab/show/Lectures+on+category+theory ;; https://ncatlab.org/nlab/files/MacLaneBowdoinLectures69.pdf ;; https://dl.dropboxusercontent.com/u/12630719/MacLaneBowdoinLectures69.pdf ;; (find-fline "$S/https/dl.dropboxusercontent.com/u/12630719/") (code-pdf-page "bowdoin" "$S/https/dl.dropboxusercontent.com/u/12630719/MacLaneBowdoinLectures69.pdf") (code-pdf-text "bowdoin" "$S/https/dl.dropboxusercontent.com/u/12630719/MacLaneBowdoinLectures69.pdf") (code-pdf-page "bowdoin" "$S/https/ncatlab.org/nlab/files/MacLaneBowdoinLectures69.pdf") (code-pdf-text "bowdoin" "$S/https/ncatlab.org/nlab/files/MacLaneBowdoinLectures69.pdf") ;; (find-bowdoinpage) ;; (find-bowdoinpage 2 "1") ;; (find-bowdoinpage 8 "2") ;; (find-bowdoinpage 12 "3") ;; (find-bowdoinpage 20 "4") ;; (find-bowdoinpage 28 "5") ;; (find-bowdoinpage 38 "Universal") ;; (find-bowdoinpage 128 "structure is left adjoint to semantics") ;; «maclane-ca» (to ".maclane-ca") ;; (find-books "__cats/__cats.el" "maclane-ca") ;; Saunders MacLane: "Categorical algebra" ;; Journal: Bull. Amer. Math. Soc. 71 (1965), 40-106 ;; https://www.ams.org/journals/bull/1965-71-01/S0002-9904-1965-11234-4/ ;; DOI: https://doi.org/10.1090/S0002-9904-1965-11234-4 ;; MathSciNet review: 0171826 (code-pdf-page "maclaneca" "~/books/__cats/maclane__categorical_algebra.pdf") (code-pdf-text "maclaneca" "~/books/__cats/maclane__categorical_algebra.pdf" 1) ;; (find-maclanecapage) ;; (find-maclanecapage 1 "Contents") ;; (find-maclanecapage (+ 1 189) "Index") ;; (find-maclanecatext "") ;; https://math.stackexchange.com/questions/53656/what-is-the-origin-of-the-expression-yoneda-lemma ;; Saunders MacLane: "The Yoneda lemma". Mathematica Japonica, vol.47, no.1. p.156 ;; http://www.jams.or.jp/notice/mj/47-1.html ;; https://dmitripavlov.org/scans/yoneda.pdf (code-pdf-page "maclaneyonedamj" "$S/https/dmitripavlov.org/scans/yoneda.pdf") ;; (find-maclaneyonedamjpage (+ -154 156)) ;; [ML88] Saunders Mac Lane. Concepts and categories in perspective. ;; In A century of mathematics in America, Part I, volume 1 of Hist. ;; Math., pages 323­365. Amer. Math. Soc., Providence, RI, 1988. ;; http://www.ams.org/publicoutreach/math-history/hmath1-maclane25.pdf (code-pdf-page "maclaneccinperspective" "$S/http/www.ams.org/publicoutreach/math-history/hmath1-maclane25.pdf") (code-pdf-text "maclaneccinperspective" "$S/http/www.ams.org/publicoutreach/math-history/hmath1-maclane25.pdf") ;; (find-maclaneccinperspectivepage) ;; (find-maclaneccinperspectivepage (+ -322 330) "adjoint T^* to the linear transformation T") ;; (find-maclaneccinperspectivepage (+ -322 333) "9. Categories") ;; (find-maclaneccinperspectivepage (+ -322 341) "14. Adjoint functors") ;; (find-maclaneccinperspectivetext) ;; Saunders MacLane: "Groups, Categories and Duality" (1948) ;; https://www.ncbi.nlm.nih.gov/pmc/articles/PMC1079106/ ;; https://www.ncbi.nlm.nih.gov/pmc/articles/PMC1079106/pdf/pnas01707-0037.pdf (code-pdf-page "maclane48" "$S/https/www.ncbi.nlm.nih.gov/pmc/articles/PMC1079106/pdf/pnas01707-0037.pdf") (code-pdf-text "maclane48" "$S/https/www.ncbi.nlm.nih.gov/pmc/articles/PMC1079106/pdf/pnas01707-0037.pdf") ;; (find-maclane48page) ;; (find-maclane48text) ;; «maclane-moerdijk» (to ".maclane-moerdijk") ;; (find-books "__cats/__cats.el" "maclane-moerdijk") ;; (find-books "__cats/__cats.el" "moerdijk") ;; (find-LATEX "catsem.bib" "bib-MacLaneMoerdijk") ;; https://www.springer.com/gp/book/9780387977102 (code-pdf-page "maclanemoerdijk" "~/books/__cats/maclane_moerdijk__sheaves_in_geometry_and_logic.pdf") (code-pdf-text "maclanemoerdijk" "~/books/__cats/maclane_moerdijk__sheaves_in_geometry_and_logic.pdf") ;; (brg "~/books/__cats/maclane_moerdijk__sheaves_in_geometry_and_logic.pdf") ;; (find-maclanemoerdijkpage 8 "Contents") ;; (find-maclanemoerdijkpage (+ 11 10) "Categorical Preliminaries") ;; (find-maclanemoerdijkpage (+ 11 24) "I. Categories of functors") ;; (find-maclanemoerdijkpage (+ 11 25) "presheaves") ;; (find-maclanemoerdijkpage (+ 11 26) "This makes y into a functor") ;; (find-maclanemoerdijkpage (+ 11 29) "2. Pullbacks") ;; (find-maclanemoerdijkpage (+ 11 32) "Definition" "subobject classifier") ;; (find-maclanemoerdijkpage (+ 11 31) "3. Characteristic functions of subobjects") ;; (find-maclanemoerdijkpage (+ 11 35) "4. Typical Subobject Classifiers") ;; (find-maclanemoerdijkpage (+ 11 36) "For an arbitrary small category C,") ;; (find-maclanemoerdijkpage (+ 11 38) "Sieve on C =") ;; (find-maclanemoerdijkpage (+ 11 38) "Omega(C) =") ;; (find-maclanemoerdijkpage (+ 11 39) "5. Colimits") ;; (find-maclanemoerdijkpage (+ 11 44) "6. Exponentials") ;; (find-maclanemoerdijkpage (+ 11 48) "7. Propositional calculus") ;; (find-maclanemoerdijkpage (+ 11 50) "8. Heyting Algebras") ;; (find-maclanemoerdijkpage (+ 11 57) "9. Quantifiers as Adjoints") ;; (find-maclanemoerdijkpage (+ 11 62) "Exercises") ;; (find-maclanemoerdijkpage (+ 11 64) "II. Sheaves of Sets") ;; (find-maclanemoerdijkpage (+ 11 64) "1. Sheaves") ;; (find-maclanemoerdijkpage (+ 11 69) "2. Sieves and Sheaves") ;; (find-maclanemoerdijkpage (+ 11 73) "3. Sheaves and manifolds") ;; (find-maclanemoerdijkpage (+ 11 79) "sheaf of cross-sections") ;; (find-maclanemoerdijkpage (+ 11 83) "5. Sheaves and cross-sections") ;; (find-maclanemoerdijkpage (+ 11 88) "6. Sheaves as Étale Spaces") ;; (find-maclanemoerdijkpage (+ 11 95) "7. Sheaves with algebraic structure") ;; (find-maclanemoerdijkpage (+ 11 99) "9. Inverse Image Sheaf") ;; (find-maclanemoerdijkpage (+ 11 106) "III. Grothendieck Topologies and Sheaves") ;; (find-maclanemoerdijkpage (+ 11 110) "Definition 1. A Grothendieck Topology") ;; (find-maclanemoerdijkpage (+ 11 115) "forcing") ;; (find-maclanemoerdijkpage (+ 11 121) "4. Sheaves on a Site") ;; (find-maclanemoerdijkpage (+ 11 128) "5. The associated sheaf functor") ;; (find-maclanemoerdijkpage (+ 11 129) "a(P) = (P^+)^+") ;; (find-maclanemoerdijkpage (+ 11 134) "6. First properties") ;; (find-maclanemoerdijkpage (+ 11 140) "7. Subobject classifiers for sites") ;; (find-maclanemoerdijkpage (+ 11 145) "8. Subsheaves") ;; (find-maclanemoerdijkpage (+ 11 162) "classifier") ;; (find-maclanemoerdijkpage (+ 11 219) "V.1 Lawvere-Tierney Topologies") ;; (find-maclanemoerdijkpage (+ 11 222) "Theorem 2") ;; (find-maclanemoerdijkpage (+ 11 233) "V.4 Lawvere-Tierney Subsumes Grothendieck") ;; (find-maclanemoerdijkpage (+ 11 267) "VI. Topoi and Logic") ;; (find-maclanemoerdijkpage (+ 11 347) "VII. Geometric Morphisms") ;; (find-maclanemoerdijkpage (+ 11 366) "VII.4 Embeddings and Surjections") ;; (find-maclanemoerdijkpage (+ 11 376) "Factorization theorem; uniqueness") ;; (find-maclanemoerdijkpage (+ 11 407) "10. Morphisms Between Sites") ;; (find-maclanemoerdijkpage (+ 11 470) "IX. Localic Topoi") ;; (find-maclanemoerdijkpage (+ 11 475) "3. Spaces from Locales") ;; (find-maclanemoerdijkpage (+ 11 480) "4. Embeddings and Surjections of Locales") ;; (find-maclanemoerdijkpage (+ 11 483) "nucleus") ;; (find-maclanemoerdijkpage (+ 11 487) "5. Localic Topoi") ;; (find-maclanemoerdijkpage (+ 11 278) "forcing") ;; (find-maclanemoerdijkpage (+ 11 603) "Bibliography") ;; (find-maclanemoerdijkpage (+ 11 613) "Index of Notation") ;; (find-maclanemoerdijkpage (+ 11 617) "Index") ;; (find-maclanemoerdijkpage (+ 11 626) "Index" "subobject classifier") ;; (find-maclanemoerdijktext) ;; «makkai-reyes» (to ".makkai-reyes") ;; (find-books "__cats/__cats.el" "makkai-reyes") ;; Makkai/Reyes: "First-Order Categorical Logic" (1977) (code-pdf-page "makkaireyes" "~/books/__cats/makkai_reyes__first-order_categorical_logic.pdf") (code-pdf-text "makkaireyes" "~/books/__cats/makkai_reyes__first-order_categorical_logic.pdf" 8) ;; (brg "~/books/__cats/makkai_reyes__first-order_categorical_logic.pdf") ;; (find-makkaireyespage) ;; (find-makkaireyespage 1 "Contents") ;; (find-makkaireyespage (+ 8 1) "Introduction") ;; (find-makkaireyespage (+ 8 9) "1. Grothendieck topoi") ;; (find-makkaireyestext (+ 8 9) "Grothendieck topoi") ;; (find-makkaireyespage (+ 8 13) "Definition 1.1.8") ;; (find-makkaireyestext (+ 8 13) "Definition 1.1.8") ;; (find-makkaireyespage (+ 8 14) "Proposition 1.1.9" "canonical topology") ;; (find-makkaireyestext (+ 8 14) "Proposition 1.1.9" "canonical topology") ;; (find-makkaireyespage (+ 8 14) "2. The associated sheaf") ;; (find-makkaireyestext (+ 8 14) "2. The associated sheaf") ;; (find-makkaireyespage (+ 8 22) "3 Grothendieck Topoi") ;; (find-makkaireyestext (+ 8 22) "3 Grothendieck Topoi") ;; (find-makkaireyespage (+ 8 30) "Lemma 1.3.14") ;; (find-makkaireyestext (+ 8 30) "Lemma 1.3.14") ;; (find-makkaireyespage (+ 8 33) "4. Characterization of Grothendieck topoi:") ;; (find-makkaireyestext (+ 8 33) "4. Characterization of Grothendieck topoi:") ;; (find-makkaireyespage (+ 8 47) "2. Interpretation of the logic L... in categories") ;; (find-makkaireyestext (+ 8 47) "Interpretation of the logic L") ;; (find-makkaireyestext "") ;; «maietti» (to ".maietti") ;; (find-books "__cats/__cats.el" "maietti") ;; Maria Emilia Maietti: "Modular correspondence between dependent ;; type theories and categories including pretopoi and topoi" (2005) ;; https://www.math.unipd.it/~maietti/papers/tumscs.pdf ;; https://doi.org/10.1017/S0960129505004962 ;; See also: (to "tlca2011") ;; (code-pdf-page "maiettimodcorr" "$S/https/www.math.unipd.it/~maietti/papers/tumscs.pdf") (code-pdf-text "maiettimodcorr" "$S/https/www.math.unipd.it/~maietti/papers/tumscs.pdf") ;; (find-maiettimodcorrpage) ;; (find-maiettimodcorrtext) ;; «maneggia» (to ".maneggia") ;; (find-books "__cats/__cats.el" "maneggia") (code-pdf-page "maneggia" "~/books/__cats/maneggia__models_of_linear_polymorphism.pdf") (code-pdf-text "maneggia" "~/books/__cats/maneggia__models_of_linear_polymorphism.pdf" 1) ;; (find-maneggiapage) ;; (find-maneggiapage 9 "Contents") ;; (find-maneggiapage 87 "3.5 A linear hyperdoctrine") ;; (find-maneggiatext 87 "3.5 A linear hyperdoctrine") ;; (find-maneggiatext "") ;; «mannone» (to ".mannone") ;; http://www.mathisintheair.com/eng/2018/01/30/creative-mathematics-an-application-of-category-theory/ ;; http://www.mathisintheair.com/eng/2020/06/27/smiling-math/ ;; http://mariamannone.com/ ;; http://mariamannone.com/composizioni.html ;; ;; Maria Mannone: "Introduction to Gestural Similarity in Music. An ;; Application of Category Theory to the Orchestra" (2019) ;; ;; https://arxiv.org/abs/1904.10340 ;; https://arxiv.org/pdf/1904.10340.pdf (code-pdf-page "mannoneigs" "$S/https/arxiv.org/pdf/1904.10340.pdf") (code-pdf-text "mannoneigs" "$S/https/arxiv.org/pdf/1904.10340.pdf") ;; (find-mannoneigspage) ;; (find-mannoneigstext) ;; ;; Mannone/Turchet: "Shall We (Math and) Dance?" (2019) ;; https://arxiv.org/abs/1912.13411 ;; https://arxiv.org/pdf/1912.13411.pdf (code-pdf-page "mannonemad" "$S/https/arxiv.org/pdf/1912.13411.pdf") (code-pdf-text "mannonemad" "$S/https/arxiv.org/pdf/1912.13411.pdf") ;; (find-mannonemadpage) ;; (find-mannonemadtext) ;; «marmolejo» (to ".marmolejo") ;; http://www.tac.mta.ca/tac/volumes/1997/n2/n2.pdf ;; "Doctrines Whose Structure Forms a Fully Faithful Adjoint String" (code-pdf-page "marmolejodffas" "$S/http/www.tac.mta.ca/tac/volumes/1997/n2/n2.pdf") (code-pdf-text "marmolejodffas" "$S/http/www.tac.mta.ca/tac/volumes/1997/n2/n2.pdf") ;; (find-marmolejodffaspage) ;; (find-marmolejodffastext) ;; «marquis» (to ".marquis") ;; (find-books "__cats/__cats.el" "marquis") ;; Marquis: "From a Geometrical Point of View - Logic, Epistemology, and the Unity of Science" (2009) ;; https://www.springer.com/gp/book/9781402093838 (code-pdf-page "marquis" "~/books/__cats/marquis__from_a_geometrical_point_of_view.pdf") (code-pdf-text "marquis" "~/books/__cats/marquis__from_a_geometrical_point_of_view.pdf" 12) ;; (find-marquispage) ;; (find-marquispage 11 "Contents") ;; (find-marquistext "Contents") ;; (find-marquispage (+ 12 1) "Introduction") ;; (find-marquispage (+ 12 9) "1 Category Theory and Klein's Erlangen Program") ;; (find-marquispage (+ 12 9) "1.1 Eilenberg and Mac Lane's Claim") ;; (find-marquispage (+ 12 12) "1.2 Klein's Program: Basic Aspects") ;; (find-marquispage (+ 12 12) "1.2.1 A Philosophical Fable") ;; (find-marquispage (+ 12 15) "1.2.2 Transformation Groups: Encoding Basic Geometric Facts") ;; (find-marquispage (+ 12 25) "1.2.3 Transfer of Structure: The Irrelevance of the Nature of the Elements of a Space") ;; (find-marquispage (+ 12 28) "1.2.4 Why a Transformation Group is not Quite Enough") ;; (find-marquispage (+ 12 29) "1.2.5 But Then Again, why a Group is Enough") ;; (find-marquispage (+ 12 31) "1.2.6 Classifying Geometries") ;; (find-marquispage (+ 12 32) "1.3 Logical Remarks") ;; (find-marquispage (+ 12 34) "1.4 Main Ontological and Epistemological Consequences of Klein's Program") ;; (find-marquispage (+ 12 36) "1.5 Groups and Geometries: Formal Supervenience and Reduction") ;; (find-marquispage (+ 12 39) "1.6 Summing Up") ;; (find-marquispage (+ 12 41) "2 Introducing Categories, Functors and Natural Transformations") ;; (find-marquispage (+ 12 44) "2.1 From a Transformation Group to the Algebra of Mappings") ;; (find-marquispage (+ 12 51) "2.2 Foundations of Category Theory") ;; (find-marquispage (+ 12 54) "2.3 Philosophical Interlude: An Argument Against the Foundational Status of Category Theory") ;; (find-marquispage (+ 12 60) "2.4 At Last, Natural Transformations") ;; (find-marquispage (+ 12 64) "2.5 Extending Klein's Program in the Wrong Direction") ;; (find-marquispage (+ 12 67) "2.6 Category Theory: The First Phase 1945­1958") ;; (find-marquispage (+ 12 73) "3 Categories as Spaces, Functors as Transformations") ;; (find-marquispage (+ 12 74) "3.1 Universal Morphisms") ;; (find-marquispage (+ 12 77) "3.1.1 Mac Lane: Doing Duality without Elements") ;; (find-marquispage (+ 12 86) "3.1.2 Universal Morphisms") ;; (find-marquispage (+ 12 90) "3.2 Grothendieck and Abelian Categories") ;; (find-marquispage (+ 12 92) "3.2.1 Abelian Categories") ;; (find-marquispage (+ 12 102) "3.2.2 Representable Functors") ;; (find-marquispage (+ 12 109) "4 Discovering Fundamental Categorical Transformations: Adjoint Functors") ;; (find-marquispage (+ 12 114) "4.1 The Background: Homotopy Theory and Category Theory") ;; (find-marquispage (+ 12 125) "4.2 Kan's Discovery") ;; (find-marquispage (+ 12 132) "4.3 Kan's 1958 Papers "Adjoint Functors"") ;; (find-marquispage (+ 12 138) "Kan succeeded in doing all three.") ;; (find-marquistext (+ 12 138) "Kan succeeded in doing all three.") ;; (find-marquispage (+ 12 147) "5 Adjoint Functors: What They are, What They Mean") ;; (find-marquispage (+ 12 148) "5.1 Adjointness") ;; (find-marquispage (+ 12 161) "5.2 Equivalence of Categories Again") ;; (find-marquispage (+ 12 164) "5.3 Back to Klein") ;; (find-marquispage (+ 12 166) "5.4 From Groups to Groupoids") ;; (find-marquispage (+ 12 175) "5.5 The Foundations of Category Theory. Again") ;; (find-marquispage (+ 12 191) "6 Invariants in Foundations: Algebraic Logic") ;; (find-marquispage (+ 12 194) "6.1 Lawvere's Thesis") ;; (find-marquispage (+ 12 197) "6.2 The Category of Categories as a Foundational Framework") ;; (find-marquispage (+ 12 208) "6.3 The Elementary Theory of the Category of Sets") ;; (find-marquispage (+ 12 210) "6.4 Categorical Logic: the Program") ;; (find-marquispage (+ 12 216) "6.5 An Adjoint Presentation of Propositional Logic") ;; (find-marquispage (+ 12 220) "6.6 Quantifiers as Adjoint Functors") ;; (find-marquispage (+ 12 225) "6.7 Graphical Syntax: Sketches") ;; (find-marquispage (+ 12 234) "6.8 Categorical Theories: Conceptual and Generic Structures") ;; (find-marquispage (+ 12 246) "6.9 Summing Up") ;; (find-marquispage (+ 12 247) "7 Invariants in Foundations: Geometric Logic") ;; (find-marquispage (+ 12 248) "7.1 Grothendieck Toposes: Generalized Spaces") ;; (find-marquispage (+ 12 261) "7.2 Elementary Toposes") ;; (find-marquispage (+ 12 267) "7.3 Invariants Under Geometric Transformations") ;; (find-marquispage (+ 12 271) "7.4 Invariants Under Logical Transformations") ;; (find-marquispage (+ 12 276) "7.5 Invariant Foundational Frameworks") ;; (find-marquispage (+ 12 282) "7.6 Using Geometric and Logical Invariants") ;; (find-marquispage (+ 12 283) "7.7 Summing Up") ;; (find-marquispage (+ 12 285) "Conclusion") ;; (find-marquispage (+ 12 291) "References") ;; (find-marquispage (+ 12 303) "Index") ;; (find-marquistext "Index") ;; (find-marquistext) ;; http://www.math.mcgill.ca/rags/seminar/ ;; http://www.math.mcgill.ca/rags/seminar/Marquis_KreiselLawvere.pdf ;; https://www.youtube.com/watch?v=efd7oiUDPy0 The Kreisel Lawvere Debate on Categories and the Foundations of Mathematics ;; 54:00 species of categories ;; 56:00 logical ops as adjoints ;; 58:30 semantics and structure ;; 1:04:00 a regular category can be thought as a deductive system -> coherent ;; -> heyting category -> boolean category (code-pdf-page "marquiskrelaw" "$S/http/www.math.mcgill.ca/rags/seminar/Marquis_KreiselLawvere.pdf") (code-pdf-text "marquiskrelaw" "$S/http/www.math.mcgill.ca/rags/seminar/Marquis_KreiselLawvere.pdf") ;; (find-marquiskrelawpage) ;; (find-marquiskrelawtext) ;; «marquis-reyes» (to ".marquis-reyes") ;; (find-books "__cats/__cats.el" "marquis-reyes") ;; https://www.webdepot.umontreal.ca/Usagers/marquisj/MonDepotPublic/HistofCatLog.pdf (code-pdf-page "histofcatlog" "$S/https/www.webdepot.umontreal.ca/Usagers/marquisj/MonDepotPublic/HistofCatLog.pdf") (code-pdf-text "histofcatlog" "$S/https/www.webdepot.umontreal.ca/Usagers/marquisj/MonDepotPublic/HistofCatLog.pdf") ;; (find-histofcatlogpage) ;; (find-histofcatlogtext) ;; (find-histofcatlogpage 25 "1. Lawvere introduces") ;; (find-histofcatlogtext 25 "1. Lawvere introduces") ;; (find-histofcatlogpage 26 "Corry") ;; (find-histofcatlogtext 26 "Corry") ;; (find-histofcatlogpage 26 "polyadic") ;; (find-histofcatlogtext 26 "polyadic") ;; (find-histofcatlogpage 103 "vertical notation") ;; (find-histofcatlogtext 103 "vertical notation") ;; «maruyama» (to ".maruyama") ;; (find-books "__cats/__cats.el" "maruyama") ;; "Meaning and Duality From Categorical Logic to Quantum Physics" (PhD Thesis, 2016) ;; http://www.cs.ox.ac.uk/people/bob.coecke/Yoshi.pdf ;; (find-fline "$S/http/www.cs.ox.ac.uk/people/bob.coecke/") (code-pdf-page "maruyama" "$S/http/www.cs.ox.ac.uk/people/bob.coecke/Yoshi.pdf") (code-pdf-text "maruyama" "$S/http/www.cs.ox.ac.uk/people/bob.coecke/Yoshi.pdf") ;; (find-maruyamapage) ;; (find-maruyamatext) ;; (find-maruyamapage 11 "Contents") ;; (find-maruyamatext 11 "Contents") ;; (find-maruyamapage (+ 12 2) "1 Introduction") ;; (find-maruyamapage (+ 12 2) "1.1 Dualism") ;; (find-maruyamapage (+ 12 5) "1.2 Duality") ;; (find-maruyamapage (+ 12 8) "1.3 Disduality") ;; (find-maruyamapage (+ 12 10) "1.4 Synopsis") ;; (find-maruyamapage (+ 12 17) "2 Categorical Duality") ;; (find-maruyamapage (+ 12 17) "2.1 Introduction to the Chapter") ;; (find-maruyamapage (+ 12 21) "2.2 Duality Theory via Categorical Topology and Algebra") ;; (find-maruyamapage (+ 12 22) "2.2.1 A Categorical Conception of Point-Set Spaces") ;; (find-maruyamapage (+ 12 25) "2.2.2 Dual Adjunction via Harmony Condition") ;; (find-maruyamapage (+ 12 33) "2.3 Domain-Convexity Duality") ;; (find-maruyamapage (+ 12 33) "2.3.1 Convexity-Theoretical Duality for Scott's Continuous Domains") ;; (find-maruyamapage (+ 12 36) "2.3.2 Jacobs Duality for Algebras of the Distribution Monad") ;; (find-maruyamapage (+ 12 40) "2.4 Categorical Duality as Philosophy of Space") ;; (find-maruyamapage (+ 12 48) "3 Articulating Duality") ;; (find-maruyamapage (+ 12 48) "3.1 Introduction to the First Part") ;; (find-maruyamapage (+ 12 52) "3.2 The Notion of ISPM and the Kripke Condition") ;; (find-maruyamapage (+ 12 56) "3.3 Modal Semi-Primal Duality") ;; (find-maruyamapage (+ 12 68) "3.4 Coalgebraic Duality and its Applications") ;; (find-maruyamapage (+ 12 73) "3.5 Introduction to the Second Part") ;; (find-maruyamapage (+ 12 77) "3.6 The Notion of Topological Dualisability") ;; (find-maruyamapage (+ 12 78) "3.7 Non-Hausdorff Stone Duality and its Applications") ;; (find-maruyamapage (+ 12 94) "3.8 Mathematical and Philosophical Remarks") ;; (find-maruyamapage (+ 12 100) "4 Duality and Categorical Logic") ;; (find-maruyamapage (+ 12 101) "4.1 Introduction to the First Part") ;; (find-maruyamapage (+ 12 105) "4.2 Typed Full Lambek Calculus and Full Lambek Hyperdoctrine") ;; (find-maruyamapage (+ 12 119) "4.3 Hyperdoctrinal Girard and Godel Translation") ;; (find-maruyamapage (+ 12 120) "4.4 Higher-Order Full Lambek Calculus and Full Lambek Tripos") ;; (find-maruyamapage (+ 12 130) "4.5 Tripos-Theoretical Girard and Godel Translation") ;; (find-maruyamapage (+ 12 133) "4.6 Introduction to the Second Part") ;; (find-maruyamapage (+ 12 136) "4.7 Categorical Universal Logic") ;; (find-maruyamapage (+ 12 142) "4.8 Duality as Categorical Semantics") ;; (find-maruyamapage (+ 12 150) "4.9 Geometric Logic, Convexity Logic, and Quantum Logic, Categorically") ;; (find-maruyamapage (+ 12 156) "4.10 Lawvere-Tierney Topology as Logical Translation") ;; (find-maruyamapage (+ 12 161) "4.11 Remarks on Duality in Logic and Algebraic Geometry") ;; (find-maruyamapage (+ 12 166) "5 Duality and Quantum Physics") ;; (find-maruyamapage (+ 12 166) "5.1 Introduction to the Chapter") ;; (find-maruyamapage (+ 12 169) "5.2 Duality and Chu Space Representation") ;; (find-maruyamapage (+ 12 170) "5.2.1 Chu Representation of Quantum Systems") ;; (find-maruyamapage (+ 12 172) "5.2.2 Chu Theory of T1 -Type Dualities via Closure Conditions") ;; (find-maruyamapage (+ 12 183) "5.3 Quantum Symmetries and Closure-Based Coalgebras") ;; (find-maruyamapage (+ 12 184) "5.3.1 Born Coalgebras on Closure Spaces") ;; (find-maruyamapage (+ 12 186) "5.3.2 Quantum Symmetries Are Purely Coalgebraic") ;; (find-maruyamapage (+ 12 191) "5.4 Remarks on the Duality of Reproducing Kernel Hilbert Spaces") ;; (find-maruyamapage (+ 12 197) "6 Conclusions and Prospects") ;; (find-maruyamapage (+ 12 197) "6.1 How Duality Emerges, Changes, and Breaks") ;; (find-maruyamapage (+ 12 199) "6.2 A Bird's-Eye View of Stone Dualities") ;; (find-maruyamapage (+ 12 201) "6.3 The Disclosure of Meaning") ;; (find-maruyamapage (+ 12 207) "A Scheme-Theoretical Duality Theory") ;; (find-maruyamapage (+ 12 224) "B Duality, Modality, and Vagueness") ;; (find-maruyamapage (+ 12 250) "C Artificial Intelligence Applications") ;; (find-maruyamapage (+ 12 266) "Bibliography") ;; «maschio» (to ".maschio") ;; (find-books "__cats/__cats.el" "maschio") ;; https://scholar.google.com/citations?user=KfcKFaYAAAAJ# (code-pdf-page "maschionepic" "~/books/__cats/maschio__numerical_existence_property_and_categories_with_an_internal_copy.pdf") (code-pdf-text "maschionepic" "~/books/__cats/maschio__numerical_existence_property_and_categories_with_an_internal_copy.pdf" 1) ;; (find-maschionepicpage) ;; (find-maschionepicpage 1 "Contents") ;; (find-maschionepicpage (+ 1 189) "Index") ;; (find-maschionepictext "") ;; «master» (to ".master") ;; https://jadeedenstarmaster.wordpress.com/2021/01/29/nets-within-nets-from-the-grothendieck-construction/ ;; https://jadeedenstarmaster.wordpress.com/2018/09/27/lets-grothendieck-everything-in-sight-week-2/ ;; https://jadeedenstarmaster.wordpress.com/2020/04/29/marked-petri-nets-via-the-grothendieck-construction/ ;; Master: "Petri Nets Based on Lawvere Theories" ;; https://arxiv.org/abs/1904.09091 ;; https://arxiv.org/pdf/1904.09091.pdf (code-pdf-page "masterpetriblaw" "$S/https/arxiv.org/pdf/1904.09091.pdf") (code-pdf-text "masterpetriblaw" "$S/https/arxiv.org/pdf/1904.09091.pdf") ;; (find-masterpetriblawpage) ;; (find-masterpetriblawtext) ;; «mazur» (to ".mazur") ;; Barry Mazur: "When is one thing equal to some other thing?" (2007) ;; http://people.math.harvard.edu/~mazur/preprints/when_is_one.pdf (code-pdf-page "mazurwhen" "$S/http/people.math.harvard.edu/~mazur/preprints/when_is_one.pdf") (code-pdf-text "mazurwhen" "$S/http/people.math.harvard.edu/~mazur/preprints/when_is_one.pdf") ;; (find-mazurwhenpage) ;; (find-mazurwhentext) ;; (find-mazurwhenpage 6 "4 Category Theory as balancing act") ;; (find-mazurwhentext 6 "4 Category Theory as balancing act") ;; (find-mazurwhenpage 12 "10 Defining the natural numbers as an \"initial object.\"") ;; (find-mazurwhentext 12 "10 Defining the natural numbers as an \"initial object.\"") ;; (find-mazurwhenpage 19 "15 Representable functors") ;; (find-mazurwhentext 19 "15 Representable functors") ;; (find-mazurwhenpage 22 "18 Object and problem") ;; (find-mazurwhentext 22 "18 Object and problem") ;; (find-mazurwhenpage 23 "19 Object and equality") ;; (find-mazurwhentext 23 "19 Object and equality") ;; «mclarty» (to ".mclarty") ;; (find-books "__cats/__cats.el" "mclarty") ;; (find-LATEX "catsem.bib" "bib-McLarty") ;; http://www.colinmclarty.com/ ;; http://www.colinmclarty.com/files/McLartyCV_2006.pdf ;; https://philosophy.case.edu/faculty/colin-mclarty/ ;; "Elementary Categories, Elementary Toposes" (code-pdf-page "mclarty" "~/books/__cats/mclarty__elementary_categories_elementary_toposes.pdf") (code-pdf-text "mclarty" "~/books/__cats/mclarty__elementary_categories_elementary_toposes.pdf") ;; (find-mclartypage 6 "Contents") ;; (find-mclartypage (+ 10 1) "Introduction") ;; (find-mclartypage (+ 8 13) "1. Rudimentary structures in a category") ;; (find-mclartypage (+ 8 20) "2. Products, equalizers, and their duals") ;; (find-mclartypage (+ 8 34) "3. Groups") ;; (find-mclartypage (+ 8 38) "4. Sub-objects, pullbacks, and limits") ;; (find-mclartypage (+ 8 54) "5. Relations") ;; (find-mclartypage (+ 8 57) "6. Cartesian Closed Categories") ;; (find-mclartypage (+ 8 58) "the name of f") ;; (find-mclartypage (+ 8 68) "7. Product operators and others") ;; (find-mclartypage (+ 6 73) "8. Functors and categories") ;; (find-mclartypage (+ 6 82) "9. Natural transformations") ;; (find-mclartypage (+ 6 88) "10. Adjunctions") ;; (find-mclartypage (+ 6 99) "11. Slice categories") ;; (find-mclartypage (+ 6 107) "12. Mathematical foundations") ;; (find-mclartypage (+ 4 117) "13. Basics") ;; (find-mclartypage (+ 4 117) "13.2. The sub-object classifier") ;; (find-mclartypage (+ 4 118) "13.3. Conjunction and intersection") ;; (find-mclartypage (+ 4 119) "13.4. Order and implicates") ;; (find-mclartypage (+ 4 126) "14. The internal language") ;; (find-mclartypage (+ 4 135) "15. Soundness proof for topos logic") ;; (find-mclartypage (+ 4 141) "16. From the internal language to the topos") ;; (find-mclartypage (+ 4 154) "17. The fundamental theorem") ;; (find-mclartypage (+ 4 167) "18. External semantics") ;; (find-mclartypage (+ 4 172) "19. Natural numbers objects") ;; (find-mclartypage (+ 4 182) "20. Categories in a topos") ;; (find-mclartypage (+ 4 196) "21. Topologies") ;; (find-mclartypage (+ 4 198) "21.2. Sheaves") ;; (find-mclartypage (+ 4 199) "21.3. The sheaf reflection") ;; (find-mclartypage (+ 4 205) "21.4. Grothendieck toposes") ;; (find-mclartypage (+ 2 211) "22. Sets") ;; (find-mclartypage (+ 2 219) "23. Synthetic differential geometry") ;; (find-mclartypage (+ 2 229) "24. The effective topos") ;; (find-mclartypage (+ 2 241) "25. Relations in regular categories") ;; (find-mclartypage (+ 2 253) "Further reading") ;; (find-mclartypage (+ 2 257) "Bibliography") ;; (find-mclartypage (+ 2 262) "Symbol Index") ;; (find-mclartypage (+ 2 263) "Subject Index") ;; (brg "~/books/__cats/mclarty__elementary_categories_elementary_toposes.pdf") ;; (find-mclartypage 200) ;; (find-mclartypage 211) ;; (format "%d-%d" (+ 4 196) (+ 17 129)) ;; DOI: 10.1093/bjps/41.3.351 (code-pdf-page "mclartyua" "~/books/__cats/mclarty__the_uses_and_abuses_of_the_history_of_topos_theory.pdf") (code-pdf-text "mclartyua" "~/books/__cats/mclarty__the_uses_and_abuses_of_the_history_of_topos_theory.pdf" -351) ;; (find-mclartyuapage) ;; (find-mclartyuatext) ;; (find-mclartyuapage (+ -351 352) "I INTRODUCTION") ;; (find-mclartyuatext (+ -351 352) "I INTRODUCTION") ;; (find-mclartyuatext "") (code-pdf-page "mclartysmlu" "~/books/__cats/mclarty__saunders_mac_lane_and_the_universal_in_mathematics.pdf") (code-pdf-text "mclartysmlu" "~/books/__cats/mclarty__saunders_mac_lane_and_the_universal_in_mathematics.pdf" 1) ;; (find-mclartysmlupage) ;; (find-mclartysmlupage 1 "Contents") ;; (find-mclartysmlupage (+ 1 189) "Index") ;; (find-mclartysmlutext "") ;; McLarty: "Saunders Mac Lane (1909-2005): His Mathematical Life and Philosophical Works" (2005) ;; Philosophia Mathematica, Volume 13, Issue 3, October 2005, Pages 237-251 ;; https://doi.org/10.1093/philmat/nki038 ;; Published: 01 October 2005 (code-pdf-page "mclartysmhiml" "~/books/__cats/mclarty__saunders_mac_lane_his_mathematical_life_and_philosophical_works.pdf") (code-pdf-text "mclartysmhiml" "~/books/__cats/mclarty__saunders_mac_lane_his_mathematical_life_and_philosophical_works.pdf" 1) ;; (find-mclartysmhimlpage) ;; (find-mclartysmhimlpage 1 "Contents") ;; (find-mclartysmhimlpage (+ 1 189) "Index") ;; (find-mclartysmhimltext "") (code-pdf-page "mclartylast" "~/books/__cats/mclarty__the_last_mathematician_from_hilberts_gottingen_saunders_maclane.pdf") (code-pdf-text "mclartylast" "~/books/__cats/mclarty__the_last_mathematician_from_hilberts_gottingen_saunders_maclane.pdf" 1) ;; (find-mclartylastpage) ;; (find-mclartylastpage 1 "Contents") ;; (find-mclartylastpage (+ 1 189) "Index") ;; (find-mclartylasttext "") ;; «mclarty-risingsea» (to ".mclarty-risingsea") ;; (find-books "__cats/__cats.el" "mclarty-risingsea") ;; http://www.landsburg.com/grothendieck/mclarty1.pdf ;; The Rising Sea: Grothendieck on simplicity and generality I (code-pdf-page "risingsea" "$S/http/www.landsburg.com/grothendieck/mclarty1.pdf") (code-pdf-text "risingsea" "$S/http/www.landsburg.com/grothendieck/mclarty1.pdf") ;; (find-risingseapage) ;; (find-risingseatext) ;; (find-risingseapage 1 "nut to be opened") ;; (find-risingseatext 1 "nut to be opened") ;; «mclarty-twocons» (to ".mclarty-twocons") ;; (find-books "__cats/__cats.el" "mclarty") ;; Colin McLarty: "Two Constructivist Aspects of Category Theory" (2006) ;; https://journals.openedition.org/philosophiascientiae/413 ;; https://journals.openedition.org/philosophiascientiae/pdf/413 (code-pdf-page "mclarty-twocons" "~/books/__cats/mclarty__two_constructivist_aspects_of_category_theory.pdf") (code-pdf-text "mclarty-twocons" "~/books/__cats/mclarty__two_constructivist_aspects_of_category_theory.pdf" 1) ;; (find-mclarty-twoconspage) ;; (find-mclarty-twoconspage 1 "Contents") ;; (find-mclarty-twoconspage (+ 1 189) "Index") ;; (find-mclarty-twoconstext "") ;; "Emmy Noether's first great mathematics and the culmination of ;; first-phase logicism, formalism, and intuitionism": ;; https://link.springer.com/article/10.1007/s00407-010-0073-y ;; Elementary Axioms for Canonical Points of Toposes ;; https://www.jstor.org/stable/2273873?seq=1 ;; «marsden» (to ".marsden") ;; (find-books "__cats/__cats.el" "marsden") ;; https://www.cs.ox.ac.uk/people/dan.marsden/ ;; https://www.cs.ox.ac.uk/people/publications/date/Dan.Marsden.html ;; ;; «marsden-dragging» (to ".marsden-dragging") ;; (find-books "__cats/__cats.el" "marsden-dragging") ;; "Dragging Proofs Out of Pictures" (2016) ;; http://dx.doi.org/10.1007/978-3-319-30936-1_8 (code-pdf-page "hmdragging" "~/books/__cats/hinze_marsden__dragging_proofs_out_of_pictures.pdf") (code-pdf-text "hmdragging" "~/books/__cats/hinze_marsden__dragging_proofs_out_of_pictures.pdf" -151) ;; (find-hmdraggingpage) ;; (find-hmdraggingtext "") ;; (find-hmdraggingpage (+ -151 153) "horizontal tangent") ;; (find-hmdraggingtext (+ -151 153) "horizontal tangent") ;; «marsden-ctusd» (to ".marsden-ctusd") ;; (find-books "__cats/__cats.el" "marsden-ctusd") ;; (find-LATEX "catsem-ab.bib" "bib-MarsdenCTUSD") ;; (find-LATEX "catsem-u.bib" "bib-MarsdenCTUSD") ;; (find-es "tikz" "ctusd") ;; https://arxiv.org/abs/1401.7220 "Category Theory Using String Diagrams" (2014) ;; https://arxiv.org/pdf/1401.7220.pdf ;; (code-pdf-page "ctusd" "~/books/__cats/marsden__category_theory_using_string_diagrams.pdf") ;; (code-pdf-text "ctusd" "~/books/__cats/marsden__category_theory_using_string_diagrams.pdf" 1) (code-pdf-page "ctusd" "$S/https/arxiv.org/pdf/1401.7220.pdf") (code-pdf-text "ctusd" "$S/https/arxiv.org/pdf/1401.7220.pdf") ;; (find-ctusdpage) ;; (find-ctusdpage 1 "1 Introduction") ;; (find-ctusdtext 1 "1 Introduction") ;; (find-ctusdpage 3 "calculational style similar to [Fokkinga, 1992b]") ;; (find-ctusdtext 3 "calculational style similar to [Fokkinga, 1992b]") ;; (find-ctusdpage 4 "Finally, we will sketch") ;; (find-ctusdtext 4 "Finally, we will sketch") ;; (find-ctusdpage 4 "three styles" "of reasoning:") ;; (find-ctusdtext 4 "three styles" "of reasoning:") ;; (find-ctusdpage 5 "2 An Outline of the Graphical Approach") ;; (find-ctusdtext 5 "2 An Outline of the Graphical Approach") ;; (find-ctusdpage 9 "Naturality") ;; (find-ctusdtext 9 "Naturality") ;; (find-ctusdpage 9 "3 Adjunctions") ;; (find-ctusdtext 9 "3 Adjunctions") ;; (find-ctusdpage 19 "4 Monads") ;; (find-ctusdtext 19 "4 Monads") ;; (find-ctusdpage 36 "5 Representable Functors") ;; (find-ctusdtext 36 "5 Representable Functors") ;; (find-ctusdpage 42 "6 Limits and colimits") ;; (find-ctusdtext 42 "6 Limits and colimits") ;; (find-ctusdpage 53 "7 Bifunctors") ;; (find-ctusdtext 53 "7 Bifunctors") ;; (find-ctusdpage 55 "8 Conclusion") ;; (find-ctusdtext 55 "8 Conclusion") ;; (find-ctusdpage 56 "References") ;; (find-ctusdtext 56 "References") ;; (find-ctusdtext "") ;; «meleiro» (to ".meleiro") ;; Juan Meleiro/Hugo Mariano: "Formalizing the Curry-Howard Correspondence" (2019) ;; https://arxiv.org/abs/1912.10961 ;; https://arxiv.org/pdf/1912.10961.pdf (code-pdf-page "meleiro" "$S/https/arxiv.org/pdf/1912.10961.pdf") (code-pdf-text "meleiro" "$S/https/arxiv.org/pdf/1912.10961.pdf") ;; (find-meleiropage) ;; (find-meleirotext) ;; «mellies» (to ".mellies") ;; https://www.irif.fr/~mellies/ ;; https://www.irif.fr/~mellies/gallery.html ;; ;; Mellies: "Categorical Semantics of Linear Logic" ;; https://www.irif.fr/~mellies/papers/panorama.pdf (code-pdf-page "melliescatsemlilo" "$S/https/www.irif.fr/~mellies/papers/panorama.pdf") (code-pdf-text "melliescatsemlilo" "$S/https/www.irif.fr/~mellies/papers/panorama.pdf") ;; (find-melliescatsemlilopage) ;; (find-melliescatsemlilotext) ;; ;; «mellies-zeilberger-hyp» (to ".mellies-zeilberger-hyp") ;; (find-books "__cats/__cats.el" "mellies-zeilberger-hyp") ;; Mellies/Zeilberger: "A bifibrational reconstruction of Lawvere's presheaf hyperdoctrine": ;; https://arxiv.org/abs/1601.06098 ;; https://arxiv.org/pdf/1601.06098.pdf (code-pdf-page "melliesbifib" "$S/https/arxiv.org/pdf/1601.06098.pdf") (code-pdf-text "melliesbifib" "$S/https/arxiv.org/pdf/1601.06098.pdf") ;; (find-melliesbifibpage) ;; (find-melliesbifibtext) ;; «menni» (to ".menni") ;; (find-books "__cats/__cats.el" "menni") ;; Matias Menni: "Every sufficiently cohesive topos is infinitesimally generated" ;; (find-fline "$S/http/cahierstgdc.com/wp-content/uploads/2019/01/") (code-xpdf "menni" "$S/http/cahierstgdc.com/wp-content/uploads/2019/01/Menni_-LX-1.pdf") (code-pdf-text "menni" "$S/http/cahierstgdc.com/wp-content/uploads/2019/01/Menni_-LX-1.pdf") ;; (find-mennipage) ;; (find-mennitext) ;; "One: a characterization of skeletal objects for the ;; Aufhebung of Level 0 in certain toposes of spaces": ;; http://conferences.inf.ed.ac.uk/ct2019/slides/58.pdf ;; «milewski» (to ".milewski") ;; https://bartoszmilewski.com/ ;; https://github.com/BartoszMilewski/Publications ;; https://stackoverflow.com/users/90088/bartosz-milewski ;; https://www.researchgate.net/profile/Bartosz_Milewski2 ;; https://ncatlab.org/nlab/show/Bartosz+Milewski ;; https://rakhim.org/summary-of-truth-about-types-a-talk-by-bartosz-milewski/ ;; «milewski-ctfp» (to ".milewski-ctfp") ;; (find-books "__cats/__cats.el" "milewski-ctfp") ;; (find-LATEX "catsem-u.bib" "bib-MilewskiCTFPOCaml") ;; (find-es "ocaml" "ctfp") ;; https://bartoszmilewski.com/2014/10/28/category-theory-for-programmers-the-preface/ ;; https://www.youtube.com/playlist?list=PLbgaMIhjbmEnaH_LTkxLI7FMa2HsnawM_ ;; https://github.com/hmemcpy/milewski-ctfp-pdf/ ;; https://github.com/hmemcpy/milewski-ctfp-pdf/releases ;; https://github.com/hmemcpy/milewski-ctfp-pdf/releases/tag/v1.4.0-rc1 ;; https://github.com/hmemcpy/milewski-ctfp-pdf/releases/download/v1.4.0-rc1/category-theory-for-programmers-ocaml.pdf (code-pdf-page "ctfpocaml" "$S/https/github.com/hmemcpy/milewski-ctfp-pdf/releases/download/v1.4.0-rc1/category-theory-for-programmers-ocaml.pdf") (code-pdf-text "ctfpocaml" "$S/https/github.com/hmemcpy/milewski-ctfp-pdf/releases/download/v1.4.0-rc1/category-theory-for-programmers-ocaml.pdf" 20) ;; (find-ctfpocamlpage) ;; (find-ctfpocamltext) ;; (find-ctfpocamlpage 3 "Contents") ;; (find-ctfpocamltext 3 "Contents") ;; (find-ctfpocamlpage (+ 20 2) "1\nCategory: The Essence of Composition") ;; (find-ctfpocamltext (+ 20 2) "1\nCategory: The Essence of Composition") ;; «milewski-dao» (to ".milewski-dao") ;; (find-books "__cats/__cats.el" "milewski") (code-pdf-page "daofp" "~/books/__cats/milewski__the_dao_of_functional_programming.pdf") (code-pdf-text "daofp" "~/books/__cats/milewski__the_dao_of_functional_programming.pdf" 1) ;; (find-daofppage) ;; (find-daofppage 1 "Contents") ;; (find-daofppage (+ 1 189) "Index") ;; (find-daofptext "") ;; «mitchell» (to ".mitchell") ;; (find-books "__cats/__cats.el" "mitchell") (code-pdf "mitchell" "~/books/__cats/mitchell__theory_of_categories.pdf") (code-pdftotext "mitchell" "~/books/__cats/mitchell__theory_of_categories.pdf" 1) ;; (find-mitchellpage) ;; (find-mitchellpage 12 "Contents") ;; (find-mitchellpage (+ 17 1) "1. Preliminaries") ;; (find-mitchelltext "") ;; «mitchell-rso» (to ".mitchell-rso") ;; (find-books "__cats/__cats.el" "mitchell-rso") ;; https://www.sciencedirect.com/science/article/pii/0001870872900023 ;; http://www.therisingsea.org/notes/RingsWithSeveralObjects.pdf (code-pdf-page "mitchellrso" "~/books/__cats/mitchell__rings_with_several_objects.pdf") (code-pdf-text "mitchellrso" "~/books/__cats/mitchell__rings_with_several_objects.pdf" 1) ;; (find-mitchellrsopage) ;; (find-mitchellrsopage 1 "Contents") ;; (find-mitchellrsopage (+ 1 189) "Index") ;; (find-mitchellrsotext "") ;; «miraglia» (to ".miraglia") ;; http://lna.unb.br/lnal ;; http://lna.unb.br/An%20Introduction%20to%20Partially%20Ordered%20Structures%20and%20Sheaves.pdf ;; Francisco Miraglia: An Introduction to Partially Ordered Structures and Sheaves (code-pdf-page "miragliaiposs" "$S/http/lna.unb.br/An%20Introduction%20to%20Partially%20Ordered%20Structures%20and%20Sheaves.pdf") (code-pdf-text "miragliaiposs" "$S/http/lna.unb.br/An%20Introduction%20to%20Partially%20Ordered%20Structures%20and%20Sheaves.pdf") ;; (find-miragliaiposspage) ;; (find-miragliaiposstext) ;; (find-miragliaiposspage 10 "Contents") ;; (find-miragliaiposstext 10 "Contents") ;; «moeller» (to ".moeller") ;; (find-books "__cats/__cats.el" "moeller") ;; https://johncarlosbaez.wordpress.com/2020/04/24/the-monoidal-grothendieck-construction-2/ ;; http://math.ucr.edu/home/baez/mathematical/ACTUCR/Moeller_Monoidal_Grothendieck_Construction.pdf ;; https://arxiv.org/abs/1809.00727 (code-pdf-page "moellermogroslides" "$S/http/math.ucr.edu/home/baez/mathematical/ACTUCR/Moeller_Monoidal_Grothendieck_Construction.pdf") (code-pdf-text "moellermogroslides" "$S/http/math.ucr.edu/home/baez/mathematical/ACTUCR/Moeller_Monoidal_Grothendieck_Construction.pdf") ;; (find-moellermogroslidespage) ;; (find-moellermogroslidestext) ;; ;; Moeller/Vasilakopoulou: "Monoidal Grothendieck Construction" ;; https://arxiv.org/abs/1809.00727 ;; https://arxiv.org/pdf/1809.00727.pdf (code-pdf-page "monoidalgroth" "$S/https/arxiv.org/pdf/1809.00727.pdf") (code-pdf-text "monoidalgroth" "$S/https/arxiv.org/pdf/1809.00727.pdf") ;; (find-monoidalgrothpage) ;; (find-monoidalgrothtext) ;; «moerdijk» (to ".moerdijk") ;; (find-books "__cats/__cats.el" "moerdijk") ;; (find-books "__cats/__cats.el" "maclane-moerdijk") ;; (find-angg ".emacs.papers" "moerdijk") ;; ;; http://gigapedia.org/items/39282/models-for-smooth-infinitesimal-analysis (code-djvu "moerdijkreyes" "~/books/__cats/moerdijk_reyes__models_for_smooth_infinitesimal_analysis.djvu") ;; (find-moerdijkreyespage 8 "Contents") ;; (find-moerdijkreyespage (+ 9 24) "I.2. Manifolds as Cinfty-rings") ;; (find-moerdijkreyespage (+ 9 27) "transversal") ;; (find-moerdijkreyespage (+ 9 387) "Index") ;; ;; http://gigapedia.com/items/81450/classifying-spaces-and-classifying-topoi--lecture-notes-in-mathematics- (code-djvu "moerdijkcsct" "~/books/__cats/moerdijk__classifying_spaces_and_classifying_topoi.djvu") ;; (find-moerdijkcsctpage 6 "Contents") ;; (find-moerdijkcsctpage (+ 6 92) "Index") ;; «moerdijk-reyes» (to ".moerdijk-reyes") ;; (find-books "__cats/__cats.el" "moerdijk-reyes") (code-pdf-page "moerdijkreyes" "~/books/__cats/moerdijk_reyes__models_for_smooth_infinitesimal_analysis.pdf") (code-pdf-text "moerdijkreyes" "~/books/__cats/moerdijk_reyes__models_for_smooth_infinitesimal_analysis.pdf" 1) ;; (find-moerdijkreyespage) ;; (find-moerdijkreyespage 7 "Contents") ;; (find-moerdijkreyestext 7 "Contents") ;; (find-moerdijkreyespage (+ 1 189) "Index") ;; (find-moerdijkreyestext "") ;; «morrison» (to ".morrison") ;; https://www.cs.bham.ac.uk/~sjv/MorrisonAUs.pdf ;; Alan Morrison: "Reasoning in Arithmetic Universes" (MsC Thesis, 1996) ;; (find-fline "$S/https/www.cs.bham.ac.uk/~sjv/") (code-pdf-page "morrisonaus" "$S/https/www.cs.bham.ac.uk/~sjv/MorrisonAUs.pdf") (code-pdf-text "morrisonaus" "$S/https/www.cs.bham.ac.uk/~sjv/MorrisonAUs.pdf") ;; (find-morrisonauspage) ;; (find-morrisonaustext) ;; (find-morrisonauspage (+ 4 1) "1. Introduction") ;; (find-morrisonauspage (+ 4 1) "1. Introduction" "Joyal") ;; (find-morrisonauspage (+ 4 6) "2. Arithmetic Universes") ;; (find-morrisonauspage (+ 4 6) "2.1. Parameterised Recursion") ;; (find-morrisonauspage (+ 4 12) "2.2. List Arithmetic Categories") ;; (find-morrisonauspage (+ 4 18) "2.3. Natural Numbers Objects") ;; (find-morrisonauspage (+ 4 20) "2.4. Inductive Proofs in Arithmetic Categories") ;; (find-morrisonauspage (+ 4 23) "3. Internal Categories") ;; «mortberg» (to ".mortberg") ;; Anders Mörtberg: "Cubical Methods in Homotopy Type Theory and Univalent Foundations" (slides) ;; https://topos.site/topos-colloquium/slides/2021-10-07.pdf (code-pdf-page "mortbergcm" "$S/https/topos.site/topos-colloquium/slides/2021-10-07.pdf") (code-pdf-text "mortbergcm" "$S/https/topos.site/topos-colloquium/slides/2021-10-07.pdf") ;; (find-mortbergcmpage) ;; (find-mortbergcmtext) ;; «myers» (to ".myers") ;; (find-books "__cats/__cats.el" "myers") ;; http://davidjaz.com/about/ ;; http://davidjaz.com/Talks/DJM_Coimbra2020.pdf ;; https://arxiv.org/abs/1612.02762 ;; https://arxiv.org/pdf/1612.02762.pdf ;; "String Diagrams for Double Categories and Equipments" (2016) ;; (find-psne-arxiv-links "https://arxiv.org/pdf/1612.02762.pdf" "myerssddce") (code-pdf-page "myerssddce" "$S/https/arxiv.org/pdf/1612.02762.pdf") (code-pdf-text "myerssddce" "$S/https/arxiv.org/pdf/1612.02762.pdf") (code-c-d "myerssddce" "~/usrc/arxiv-myerssddce/") ;; (find-myerssddcefile "") ;; (find-myerssddcepage) ;; (find-myerssddcetext) ;; «myersdynb» (to ".myersdynb") ;; (find-books "__cats/__cats.el" "myersdynb") ;; http://davidjaz.com/Papers/DynamicalBook.pdf ;; (find-fline "$S/http/davidjaz.com/Papers/") (code-pdf-page "myersdynb" "$S/http/davidjaz.com/Papers/DynamicalBook.pdf") (code-pdf-text "myersdynb" "$S/http/davidjaz.com/Papers/DynamicalBook.pdf") ;; (find-myersdynbpage) ;; (find-myersdynbtext) ;; (find-myersdynbpage (+ 12 244) "Theorem 5.3.3.1" "Behave") ;; (find-myersdynbtext (+ 12 244) "Theorem 5.3.3.1" "Behave") ;; «myers-yeveq» (to ".myers-yeveq") ;; (find-books "__cats/__cats.el" "myers-yeveq") ;; https://arxiv.org/abs/2003.02124 ;; https://arxiv.org/pdf/2003.02124.pdf ;; "A Yoneda-style embedding for virtual equipments" (2020) (code-pdf-page "myersyeveq" "$S/https/arxiv.org/pdf/2003.02124.pdf") (code-pdf-text "myersyeveq" "$S/https/arxiv.org/pdf/2003.02124.pdf") (code-c-d "myersyeveq" "~/usrc/arxiv-myersyeveq/") ;; (find-psne-arxiv-links "https://arxiv.org/pdf/2003.02124.pdf" "myersyeveq") ;; (find-myersyeveqfile "") ;; (find-myersyeveqpage) ;; (find-myersyeveqpage "10") ;; (find-myersyeveqtext) ;; ;; "String Diagrams for (Virtual) Proarrow Equipments" ;; http://davidjaz.com/Talks/DJaz_CT17_Strings.pdf ;; (find-fline "$S/http/davidjaz.com/Talks/" "DJaz_CT17_Strings.pdf") (code-pdf-page "myerssdvpe" "$S/http/davidjaz.com/Talks/DJaz_CT17_Strings.pdf") (code-pdf-text "myerssdvpe" "$S/http/davidjaz.com/Talks/DJaz_CT17_Strings.pdf") ;; (find-myerssdvpepage) ;; (find-myerssdvpetext) ;; (find-myerssdvpepage 26 "Tile it") ;; (find-myerssdvpetext 26 "Tile it") ;; «oberg» (to ".oberg") ;; Sebastian Öberg - Homotopy Theory and TDA with a View Towards Category Theory ;; (find-fline "~/books/__cats/") ;; (find-fline "~/tmp/derived_functor.jpg") ;; https://www.facebook.com/photo.php?fbid=10156423947836169&set=gm.2229271090718276&type=3&theater (code-pdf-page "obergbananasplit" "~/books/__cats/oberg__banana_split.pdf") (code-pdf-text "obergbananasplit" "~/books/__cats/oberg__banana_split.pdf" 8) ;; (find-obergbananasplitpage) ;; (find-obergbananasplittext) ;; (find-obergbananasplitpage (+ 8 2) "banana split exact sequence") ;; (find-obergbananasplittext (+ 8 2) "banana split exact sequence") ;; «ochs» (to ".ochs") ;; (find-books "__cats/__cats.el" "ochs") ;; (find-LATEX "catsem-u.bib" "bib-Ochs") ;; (find-LATEX "catsem-u.bib" "bib-Ochs" "OchsIDARCT") ;; (find-angg ".emacs" "idarct-preprint") ;; IDARCT, published version: ;; https://link.springer.com/journal/11787/7/3/page/1 ;; https://link.springer.com/article/10.1007/s11787-013-0083-z (code-pdf-page "ochsidarct" "~/books/__cats/ochs__idarct_2013.pdf") (code-pdf-text "ochsidarct" "~/books/__cats/ochs__idarct_2013.pdf" 1) ;; (find-TH "math-b" "internal-diags-in-ct") ;; (find-ochsidarctpage) ;; (find-ochsidarctpage 1 "Contents") ;; (find-ochsidarctpage (+ -290 291) "Index") ;; (find-ochsidarcttext "") ;; «paixao» (to ".paixao") ;; (find-books "__cats/__cats.el" "paixao") ;; Paixao, Rufino, Sobocinski: "High-level Axioms for Graphical Linear Algebra" (draft) (code-pdf-page "paixaorsgla" "~/books/__cats/paixao_rufino_sobocinski__high-level-axiom_GLA.pdf") (code-pdf-text "paixaorsgla" "~/books/__cats/paixao_rufino_sobocinski__high-level-axiom_GLA.pdf" 1) ;; (find-paixaorsglapage) ;; (find-paixaorsglapage 1 "Contents") ;; (find-paixaorsglapage (+ 1 189) "Index") ;; (find-paixaorsglatext "") ;; «pare-schumacher» (to ".pare-schumacher") ;; (find-books "__cats/__cats.el" "pare-schumacher") ;; (find-books "__cats/__cats.el" "slnm0661") ;; (find-LATEX "catsem-u.bib" "bib-PareSchumacher") ;; https://www.mscs.dal.ca/~pare/ ;; https://www.mscs.dal.ca/~pare/publications.html ;; https://ncatlab.org/nlab/show/cleavage ;; https://ncatlab.org/nlab/show/Grothendieck+fibration (code-pdf-page "paresch" "~/books/__cats/slnm_661__indexed_categories_and_their_applications.pdf") (code-pdf-text "paresch" "~/books/__cats/slnm_661__indexed_categories_and_their_applications.pdf" 6) ;; (find-pareschpage) ;; (find-pareschpage 1 "Indexed Categories and Their Applications") ;; (find-pareschpage 3 "Preface") ;; (find-pareschpage (+ 6 1) "0. Introduction") ;; (find-pareschpage (+ 6 3) "indexed category" "fibration") ;; (find-pareschpage (+ 6 6) "I. Abstract families") ;; (find-pareschpage (+ 6 6) "0. Preliminaries") ;; (find-pareschpage (+ 6 7) "1. Definitions") ;; (find-pareschpage (+ 6 7) "an S-indexed category") ;; (find-pareschpage (+ 6 9) "2. Examples") ;; (find-pareschpage (+ 6 16) "3. Localization") ;; (find-pareschpage (+ 6 22) "II. Smallness") ;; (find-pareschpage (+ 6 22) "1. Small categories") ;; (find-pareschpage (+ 6 29) "2. General smallness conditions") ;; (find-pareschpage (+ 6 29) "We express this by saying that there is a bijection") ;; (find-pareschpage (+ 6 34) "3. Small homs") ;; (find-pareschpage (+ 6 42) "sequence of natural bijections") ;; (find-pareschpage (+ 6 45) "4. Well-powered categories") ;; (find-pareschpage (+ 6 61) "III. Limites") ;; (find-pareschpage (+ 6 61) "1. Functor categories") ;; (find-pareschpage (+ 6 68) "2. Adjoints") ;; (find-pareschpage (+ 6 75) "3. Small limits") ;; (find-pareschpage (+ 6 87) "4. Completeness") ;; (find-pareschpage (+ 6 94) "IV. The adjoint functor theorems") ;; (find-pareschpage (+ 6 94) "1. The general adjoint functor theorem") ;; (find-pareschpage (+ 6 98) "2. Generators") ;; (find-pareschpage (+ 6 105) "3. The special adjoint functor theorem") ;; (find-pareschpage (+ 6 108) "V. Applications") ;; (find-pareschpage (+ 6 108) "1. Small categories") ;; (find-pareschpage (+ 6 111) "2. Free phi-algebras") ;; (find-pareschpage (+ 6 121) "3. Existence of colimits") ;; (find-pareschpage (+ 6 122) "4. Logical functors") ;; (find-pareschpage (+ 6 124) "References") ;; (find-pareschtext) ;; «pareigis» (to ".pareigis") ;; (find-books "__cats/__cats.el" "pareigis") ;; http://www.mathematik.uni-muenchen.de/~pareigis/ (code-pdf-page "pareigis" "~/books/__cats/pareigis__categories_and_functors.pdf") (code-pdf-text "pareigis" "~/books/__cats/pareigis__categories_and_functors.pdf" 9) ;; (find-pareigispage) ;; (find-pareigispage 6 "Contents") ;; (find-pareigispage (+ 9 41) "1.15 The Yoneda Lemma") ;; (find-pareigistext (+ 9 41) "1.15 The Yoneda Lemma") ;; (find-pareigispage (+ 1 189) "Index") ;; (find-pareigistext "") ;; «pavlovic» (to ".pavlovic") ;; http://www.isg.rhul.ac.uk/dusko/papers/1990-proefschrift-dusko.pdf (code-pdf-page "duskophd" "$S/http/www.isg.rhul.ac.uk/dusko/papers/1990-proefschrift-dusko.pdf") (code-pdf-text "duskophd" "$S/http/www.isg.rhul.ac.uk/dusko/papers/1990-proefschrift-dusko.pdf") ;; (find-duskophdpage) ;; (find-duskophdpage 7 "Contents") ;; (find-duskophdtext) (code-pdf-page "duskopad" "~/books/__cats/pavlovic__programs_as_diagrams.pdf") (code-pdf-text "duskopad" "~/books/__cats/pavlovic__programs_as_diagrams.pdf" 1) ;; (find-duskopadpage) ;; (find-duskopadpage 3 "Contents") ;; (find-duskopadpage (+ 1 189) "Index") ;; (find-duskopadtext "") ;; https://arxiv.org/pdf/2007.10057.pdf ;; Pavlovic: Retracing some paths in categorical semantics: From process-propositions-as-types to categorified reals and computers ;; (find-pdf-page "$S/https/arxiv.org/pdf/2007.10057.pdf") ;; (find-pdf-text "$S/https/arxiv.org/pdf/2007.10057.pdf") ;; «paykin-zdancewic» (to ".paykin-zdancewic") ;; https://arxiv.org/abs/1502.04770 ;; https://arxiv.org/pdf/1502.04770.pdf ;; Paykin/Zdancewic: "A Linear/Producer/Consumer Model of Classical Linear Logic" (code-pdf-page "lpcmcll" "$S/https/arxiv.org/pdf/1502.04770.pdf") (code-pdf-text "lpcmcll" "$S/https/arxiv.org/pdf/1502.04770.pdf") ;; (find-lpcmcllpage) ;; (find-lpcmclltext) ;; «pedicchio» (to ".pedicchio") ;; (find-books "__cats/__cats.el" "pedicchio") ;; ;; «pedicchio-tholen» (to ".pedicchio-tholen") ;; (find-books "__cats/__cats.el" "pedicchio-tholen") ;; (find-books "__cats/__cats.el" "macdonald-sobral") (code-pdf-page "catfoundations" "~/books/__cats/pedicchio_tholen__categorical_foundations.pdf") (code-pdf-text "catfoundations" "~/books/__cats/pedicchio_tholen__categorical_foundations.pdf" 16) ;; (find-catfoundationspage) ;; (find-catfoundationspage 3 "Summary of Contents") ;; (find-catfoundationspage 7 "Contents") ;; (find-catfoundationspage (+ 16 222) "2. Conditions for monadicity") ;; (find-catfoundationstext (+ 16 222) "2. Conditions for monadicity") ;; (find-catfoundationspage (+ 16 407) "Index") ;; (find-catfoundationstext "") ;; ``Categorical Foundations: Special Topics in Order, Topology, Algebra, and Sheaf Theory'' (2003) ;; «pedrot» (to ".pedrot") ;; Pierre-Marie Pedrot ;; https://www.xn--pdrot-bsa.fr/ ;; https://www.pédrot.fr/ ;; ;; «pedrot-sheaftt» (to ".pedrot-sheaftt") ;; (find-booksfile "__cats/__cats.el" "pedrot-sheaftt") ;; Pierre-Marie Pedrot: "Debunking Sheaves" (2021) ;; https://www.xn--pdrot-bsa.fr/drafts/sheaftt.pdf ;; https://www.pédrot.fr/drafts/sheaftt.pdf (code-pdf-page "pedrotsheaftt" "$S/https/www.xn--pdrot-bsa.fr/drafts/sheaftt.pdf") (code-pdf-text "pedrotsheaftt" "$S/https/www.xn--pdrot-bsa.fr/drafts/sheaftt.pdf") ;; (find-pedrotsheafttpage) ;; (find-pedrotsheaftttext) ;; (find-pedrotsheafttpage 6 "3.1 Set theory as a type theory") ;; (find-pedrotsheaftttext 6 "3.1 Set theory as a type theory") ;; ;; https://www.xn--pdrot-bsa.fr/drafts/cbvpresheaf.pdf ;; https://www.pédrot.fr/drafts/cbvpresheaf.pdf ;; (find-fline "$S/https/www.xn--pdrot-bsa.fr/drafts/") (code-pdf-page "pedrotcbv" "$S/https/www.xn--pdrot-bsa.fr/drafts/cbvpresheaf.pdf") (code-pdf-text "pedrotcbv" "$S/https/www.xn--pdrot-bsa.fr/drafts/cbvpresheaf.pdf") ;; (find-pedrotcbvpage) ;; (find-pedrotcbvtext) ;; ;; «pedrot-markov» (to ".pedrot-markov") ;; Pierre-Marie Pedrot: "Russian Constructivism in a Prefascist Theory" (2020) ;; https://www.xn--pdrot-bsa.fr/articles/markov.pdf ;; https://www.pédrot.fr/articles/markov.pdf ;; (find-fline "$S/https/www.xn--pdrot-bsa.fr/articles/") (code-pdf-page "pedrotmarkov" "$S/https/www.xn--pdrot-bsa.fr/articles/markov.pdf") (code-pdf-text "pedrotmarkov" "$S/https/www.xn--pdrot-bsa.fr/articles/markov.pdf") ;; (find-pedrotmarkovpage) ;; (find-pedrotmarkovtext) ;; «pelissier» (to ".pelissier") ;; (find-books "__cats/__cats.el" "pelissier") ;; Luc Pelissier: "Reductions & Linear approximations" (PhD thesis) ;; https://lipn.univ-paris13.fr/~pellissier/soutenance/manuscript.pdf (code-pdf-page "pelissier" "$S/https/lipn.univ-paris13.fr/~pellissier/soutenance/manuscript.pdf") (code-pdf-text "pelissier" "$S/https/lipn.univ-paris13.fr/~pellissier/soutenance/manuscript.pdf") ;; (find-pelissierpage) ;; (find-pelissiertext) ;; (find-pelissierpage 5 "Contents") ;; (find-pelissiertext 5 "Contents") ;; «perrone» (to ".perrone") ;; (find-books "__cats/__cats.el" "perrone") ;; (find-LATEX "catsem-u.bib" "bib-Perrone") ;; http://www.paoloperrone.org/ ;; Paolo Perrone: "Notes on Category Theory with examples from basic mathematics" ;; (find-psne-arxiv-links "https://arxiv.org/pdf/1912.10642.pdf" "perronenct") ;; https://arxiv.org/abs/1912.10642 ;; https://arxiv.org/pdf/1912.10642.pdf (code-pdf-page "perronenct" "$S/https/arxiv.org/pdf/1912.10642.pdf") (code-pdf-text "perronenct" "$S/https/arxiv.org/pdf/1912.10642.pdf") ;; (find-perronenctpage) ;; (find-perronenctpage 2 "Contents") ;; (find-perronencttext 2 "Contents") ;; (find-perronenctpage 108 "4 Adjunctions") ;; (find-perronencttext 108 "4 Adjunctions") ;; (find-perronenctpage 2 "Contents") ;; (find-perronenctpage 5 "About these notes") ;; (find-perronenctpage 6 "Acknowledgements") ;; (find-perronenctpage 6 "Notation and conventions") ;; (find-perronenctpage 7 "1 Basic concepts") ;; (find-perronenctpage 7 "1.1 Categories") ;; (find-perronenctpage 8 "1.1.1 Categories as relations") ;; (find-perronenctpage 11 "1.1.2 Categories as operations") ;; (find-perronenctpage 13 "1.1.3 Categories as spaces and maps with extra structure") ;; (find-perronenctpage 15 "1.1.4 Set-theoretical considerations") ;; (find-perronenctpage 16 "1.1.5 Isomorphisms and groupoids") ;; (find-perronenctpage 18 "1.1.6 Diagrams, informally") ;; (find-perronenctpage 20 "1.1.7 The opposite category") ;; (find-perronenctpage 22 "1.2 Mono and epi") ;; (find-perronenctpage 22 "1.2.1 Monomorphisms") ;; (find-perronenctpage 23 "1.2.2 Split monomorphisms") ;; (find-perronenctpage 25 "1.2.3 Epimorphisms") ;; (find-perronenctpage 26 "1.2.4 Split epimorphisms") ;; (find-perronenctpage 27 "1.3 Functors and functoriality") ;; (find-perronenctpage 28 "1.3.1 Functors as mappings preserving relations") ;; (find-perronenctpage 28 "1.3.2 Functors as mappings preserving operations") ;; (find-perronenctpage 30 "1.3.3 Functors defining induced maps") ;; (find-perronenctpage 37 "1.3.4 Functors and cocycles") ;; (find-perronenctpage 39 "1.3.5 Functors, mono and epi") ;; (find-perronenctpage 42 "1.3.6 What is not a functor?") ;; (find-perronenctpage 42 "1.3.7 Contravariant functors and presheaves") ;; (find-perronenctpage 45 "1.4 Natural transformations") ;; (find-perronenctpage 45 "1.4.1 Natural transformations as systems of arrows") ;; (find-perronenctpage 46 "1.4.2 Natural transformations as structure-preserving mappings") ;; (find-perronenctpage 48 "1.4.3 Natural transformations as canonical maps") ;; (find-perronenctpage 51 "1.4.4 What is not natural?") ;; (find-perronenctpage 52 "1.4.5 Functor categories and diagrams") ;; (find-perronenctpage 54 "1.4.6 Whiskering and horizontal composition") ;; (find-perronenctpage 57 "1.5 Studying categories by means of functors") ;; (find-perronenctpage 57 "1.5.1 The category of categories") ;; (find-perronenctpage 58 "1.5.2 Subcategories") ;; (find-perronenctpage 59 "1.5.3 Full, faithful, essentially surjective") ;; (find-perronenctpage 61 "1.5.4 Equivalences of categories") ;; (find-perronenctpage 66 "2 Universal properties and the Yoneda lemma") ;; (find-perronenctpage 66 "2.1 Representable functors and the Yoneda embedding theorem") ;; (find-perronenctpage 66 "2.1.1 Extracting sets from objects") ;; (find-perronenctpage 67 "2.1.2 Representable functors") ;; (find-perronenctpage 70 "2.1.3 The Yoneda embedding theorem") ;; (find-perronenctpage 71 "2.2 The Yoneda lemma") ;; (find-perronenctpage 72 "2.2.1 Proof of the Yoneda lemma") ;; (find-perronenctpage 74 "2.2.2 Particular cases") ;; (find-perronenctpage 76 "2.3 Universal properties") ;; (find-perronenctpage 77 "2.3.1 The universal property of the cartesian product") ;; (find-perronenctpage 80 "2.3.2 The universal property of the tensor product") ;; (find-perronenctpage 82 "3 Limits and colimits") ;; (find-perronenctpage 82 "3.1 General definitions") ;; (find-perronenctpage 86 "3.2 Particular limits and colimits") ;; (find-perronenctpage 86 "3.2.1 The poset case: constrained optimization") ;; (find-perronenctpage 87 "3.2.2 The group case: invariants and orbits") ;; (find-perronenctpage 89 "3.2.3 Products and coproducts") ;; (find-perronenctpage 91 "3.2.4 Equalizers and coequalizers") ;; (find-perronenctpage 93 "3.2.5 Pullbacks and pushouts") ;; (find-perronenctpage 97 "3.2.6 Initial and terminal objects, trivial cases") ;; (find-perronenctpage 99 "3.3 Functors, limits and colimits") ;; (find-perronenctpage 100 "3.3.1 The power set and probability functors, and complexity") ;; (find-perronenctpage 102 "3.3.2 Continuous functors and equivalence") ;; (find-perronenctpage 102 "3.3.3 The case of representable functors and presheaves") ;; (find-perronenctpage 103 "3.4 Limits and colimits of sets") ;; (find-perronenctpage 103 "3.4.1 Completeness of the category of sets") ;; (find-perronenctpage 106 "3.4.2 General proof of Theorem 3.3.16") ;; (find-perronenctpage 108 "4 Adjunctions") ;; (find-perronencttext 108 "4. Adjunctions") ;; (find-perronenctpage 108 "4.1 General definitions") ;; (find-perronenctpage 108 "4.1.1 Free-forgetful adjunctions") ;; (find-perronenctpage 110 "4.1.2 Galois connections") ;; (find-perronenctpage 111 "4.2 Unit and counit as universal arrows") ;; (find-perronenctpage 116 "4.2.1 Alternative definition of adjunctions") ;; (find-perronenctpage 116 "precisely the universal property of a basis") ;; (find-perronencttext 116 "precisely the universal property of a basis") ;; (find-perronenctpage 119 "4.2.2 Example: the adjunction between categories and multigraphs") ;; (find-perronenctpage 124 "4.3 Adjunctions, limits and colimits") ;; (find-perronenctpage 124 "4.3.1 Right-adjoints and binary products") ;; (find-perronenctpage 125 "4.3.2 General proof of Theorem 4.3.1") ;; (find-perronenctpage 126 "4.3.3 Examples") ;; (find-perronenctpage 127 "4.4 The adjoint functor theorem for preorders") ;; (find-perronenctpage 128 "4.4.1 The case of convex subsets") ;; (find-perronenctpage 128 "4.4.2 Proof of Theorem 4.4.1") ;; (find-perronenctpage 129 "4.4.3 Further considerations and examples") ;; (find-perronenctpage 131 "5 Monads and comonads") ;; (find-perronenctpage 132 "5.1 Monads as extensions of spaces") ;; (find-perronenctpage 137 "5.1.1 Kleisli morphisms") ;; (find-perronenctpage 143 "5.1.2 The Kleisli adjunction") ;; (find-perronenctpage 145 "5.1.3 Closure operators and idempotent monads") ;; (find-perronenctpage 148 "5.2 Monads as theories of operations") ;; (find-perronenctpage 151 "5.2.1 Algebras of a monad") ;; (find-perronenctpage 155 "5.2.2 Free algebras") ;; (find-perronenctpage 156 "5.2.3 The Eilenberg-Moore adjunction") ;; (find-perronenctpage 159 "5.3 Comonads as extra information") ;; (find-perronenctpage 162 "5.3.1 Co-Kleisli morphisms") ;; (find-perronenctpage 164 "5.3.2 The co-Kleisli adjunction") ;; (find-perronenctpage 165 "5.4 Comonads as processes on spaces") ;; (find-perronenctpage 168 "5.4.1 Coalgebras of a comonad") ;; (find-perronenctpage 172 "5.4.2 The adjunction of coalgebras") ;; (find-perronenctpage 173 "5.5 Adjunctions, monads and comonads") ;; (find-perronenctpage 177 "5.5.1 The adjunction between categories and multigraphs is monadic") ;; (find-perronenctpage 180 "Conclusion") ;; (find-perronenctpage 181 "Bibliography") ;; (find-perronencttext) ;; «perrone-kan» (to ".perrone-kan") ;; (find-books "__cats/__cats.el" "perrone-kan") ;; https://www.youtube.com/watch?v=wTjdEzFGuOg Paolo Perrone: Kan extensions are partial colimits ;; «piaget» (to ".piaget") ;; (find-books "__cats/__cats.el" "piaget") ;; https://www.karger.com/Article/Abstract/275811 ;; https://doi.org/10.1159/000275811 (code-pdf-page "davidsonpiaget" "~/books/__cats/davidson__piaget_s_category_theoretic.pdf") (code-pdf-text "davidsonpiaget" "~/books/__cats/davidson__piaget_s_category_theoretic.pdf" 1) ;; (find-davidsonpiagetpage) ;; (find-davidsonpiagetpage (+ -224 225) "") ;; (find-davidsonpiagettext "") ;; «picado-pultr» (to ".picado-pultr") ;; (find-books "__cats/__cats.el" "picado-pultr") ;; https://mail.google.com/mail/ca/u/0/#inbox/KtbxLrjZrWwDvVtgXJVXhnlRlDcnDVdCLB (code-pdf-page "picadopultr" "~/books/__cats/picado_pultr__frames_and_locales_topology_without_points.pdf") (code-pdf-text "picadopultr" "~/books/__cats/picado_pultr__frames_and_locales_topology_without_points.pdf" 1) ;; (find-picadopultrpage) ;; (find-picadopultrpage 7 "Contents") ;; (find-picadopultrpage (+ 1 189) "Index") ;; (find-picadopultrtext "") ;; «pierce» (to ".pierce") ;; (find-books "__cats/__cats.el" "pierce") (code-pdf-page "bctcs" "~/books/__cats/pierce__basic_category_theory_for_computer_scientists.pdf") (code-pdf-text "bctcs" "~/books/__cats/pierce__basic_category_theory_for_computer_scientists.pdf" 1) ;; (find-bctcspage) ;; (find-bctcspage 7 "Contents") ;; (find-bctcspage (+ 12 1) "1 Basic Constructions") ;; (find-bctcstext (+ 12 1) "Basic Constructions") ;; (find-bctcspage (+ 12 1) "1.1 Categories") ;; (find-bctcspage (+ 12 10) "1.2 Diagrams") ;; (find-bctcspage (+ 12 13) "1.3 Monomorphisms, Epimorphisms, and Isomorphisms") ;; (find-bctcspage (+ 12 16) "1.4 Initial and Terminal Objects") ;; (find-bctcspage (+ 12 17) "1.5 Products") ;; (find-bctcspage (+ 12 20) "1.6 Universal Constructions") ;; (find-bctcspage (+ 12 21) "1.7 Equalizers") ;; (find-bctcspage (+ 12 22) "1.8 Pullbacks") ;; (find-bctcspage (+ 12 26) "1.9 Limits") ;; (find-bctcspage (+ 12 33) "1.10 Exponentiation") ;; (find-bctcspage (+ 12 36) "2 Functors, Natural Transformations, and Adjoints") ;; (find-bctcspage (+ 12 36) "2.1 Functors") ;; (find-bctcspage (+ 12 39) "2.2 F-Algebras") ;; (find-bctcspage (+ 12 41) "2.3 Natural Transformations") ;; (find-bctcspage (+ 12 45) "2.4 Adjoints") ;; (find-bctcspage (+ 12 53) "3 Applications") ;; (find-bctcspage (+ 12 53) "3.1 Cartesian Closed Categories") ;; (find-bctcspage (+ 12 57) "3.2 Implicit Conversions and Generic Operators") ;; (find-bctcspage (+ 12 59) "3.3 Programming Language Semantics") ;; (find-bctcspage (+ 12 61) "3.4 Recursive Domain Equations") ;; (find-bctcspage (+ 12 73) "4 Further Reading") ;; (find-bctcspage (+ 12 73) "4.1 Textbooks") ;; (find-bctcspage (+ 12 74) "4.2 Introductory Articles") ;; (find-bctcspage (+ 12 76) "4.3 Reference Books") ;; (find-bctcspage (+ 12 78) "4.4 Selected Research Articles") ;; (find-bctcspage (+ 12 95) "Index") ;; (find-bctcstext "") ;; «plotkin» (to ".plotkin") ;; (find-books "__comp/__comp.el" "plotkin-partdiff") ;; «pratt» (to ".pratt") ;; http://boole.stanford.edu/pratt.html ;; The Yoneda Lemma without category theory: algebra and applications ;; http://boole.stanford.edu/pub/yon.pdf (code-pdf-page "prattyon" "$S/http/boole.stanford.edu/pub/yon.pdf") (code-pdf-text "prattyon" "$S/http/boole.stanford.edu/pub/yon.pdf") ;; (find-prattyonpage) ;; (find-prattyontext) ;; «power» (to ".power") ;; ;; «power-pasting» (to ".power-pasting") ;; (find-books "__cats/__cats.el" "power") ;; Power: "A 2-Categorical Pasting Theorem" (1990) ;; https://www.sciencedirect.com/journal/journal-of-algebra/vol/129/issue/2 ;; https://core.ac.uk/download/pdf/81929927.pdf (code-pdf-page "power2catpast" "~/books/__cats/power__a_2-categorical_pasting_theorem.pdf") (code-pdf-text "power2catpast" "~/books/__cats/power__a_2-categorical_pasting_theorem.pdf" -438) ;; (find-power2catpastpage (+ -438 439) "1. Introduction") ;; (find-power2catpasttext "") ;; «pym-ritter» (to ".pym-ritter") ;; http://gigapedia.com/items/100288/reductive-logic-and-proof-search--proof-theory--semantics--and-control--oxford-logic-guides--45- (code-xpdf "pymritter" "~/books/__cats/pym_ritter__reductive_logic_and_proof_search.pdf") (code-pdftotext "pymritter" "~/books/__cats/pym_ritter__reductive_logic_and_proof_search.pdf") ;; (find-pymritterpage 1) ;; (find-pymritterpage (+ 1 1)) ;; (find-pymrittertext) ;; «rabe» (to ".rabe") ;; https://uniformal.github.io/ ;; https://uniformal.github.io/doc/philosophy/papers.html ;; https://kwarc.info/people/frabe/ ;; https://kwarc.info/people/frabe/Research/pubscv.html ;; https://kwarc.info/people/frabe/Research/KR_ilfsurvey_20.pdf ;; https://kwarc.info/people/frabe/Research/RS_diagops_19.pdf ;; https://vimeo.com/421123419 Florian Rabe: MMT - A Foundation-Independent Logical System ;; «rabe-diagops» (to ".rabe-diagops") ;; https://kwarc.info/people/frabe/Research/RS_diagops_19.pdf (code-pdf-page "rabediagops" "$S/https/kwarc.info/people/frabe/Research/RS_diagops_19.pdf") (code-pdf-text "rabediagops" "$S/https/kwarc.info/people/frabe/Research/RS_diagops_19.pdf") ;; (find-rabediagopspage) ;; (find-rabediagopstext) ;; (find-rabediagopspage 3 "N is an optional notation") ;; (find-rabediagopstext 3 "N is an optional notation") ;; «reddy» (to ".reddy") ;; (find-books "__cats/__cats.el" "reddy") ;; https://www.cs.bham.ac.uk/~udr/ ;; ;; Hermida, Reddy, Robinson: "Logical Relations and Parametricity - A ;; Reynolds Programme for Category Theory and Programming Languages" (2013) ;; https://www.cs.bham.ac.uk/~udr/papers/logical-relations-and-parametricity.pdf (code-pdf-page "reddylrp" "$S/https/www.cs.bham.ac.uk/~udr/papers/logical-relations-and-parametricity.pdf") (code-pdf-text "reddylrp" "$S/https/www.cs.bham.ac.uk/~udr/papers/logical-relations-and-parametricity.pdf") ;; (find-reddylrppage) ;; (find-reddylrptext) ;; «reutter-vicary» (to ".reutter-vicary") ;; Reutter/Vicary: "High-level methods for homotopy construction in associative n-categories" ;; https://vimeo.com/484400667 ;; ncatlab.org/nlab/show/homotopy.io ;; https://arxiv.org/abs/1902.03831 ;; https://arxiv.org/pdf/1902.03831.pdf (code-pdf-page "reuttervicaryhlm" "$S/https/arxiv.org/pdf/1902.03831.pdf") (code-pdf-text "reuttervicaryhlm" "$S/https/arxiv.org/pdf/1902.03831.pdf") ;; (find-reuttervicaryhlmpage) ;; (find-reuttervicaryhlmtext) ;; «reyes» (to ".reyes") ;; (find-books "__cats/__cats.el" "reyes") ;; (find-LATEX "catsem.bib" "bib-Reyes") ;; https://mail.google.com/mail/ca/u/0/#inbox/1614394cb9eb3ac3 e-mail to me and other people ;; ;; 2019jun04: ;; https://reyes-reyes.com/category/categorical-logic/ ;; https://reyes-reyes.com/2019/02/13/topos-theory-in-montreal-in-the-1970s-my-personal-involvement/ ;; https://reyes-reyes.com/1996/06/01/bi-heyting-algebras-toposes-and-modalities/ ;; ;; https://reyes-reyes.com/2004/06/01/generic-figures-and-their-glueings-a-constructive-approach-to-functor-categories/ ;; https://marieetgonzalo.files.wordpress.com/2004/06/generic-figures.pdf (code-pdf-page "reyeszolf" "$S/https/marieetgonzalo.files.wordpress.com/2004/06/generic-figures.pdf") (code-pdf-text "reyeszolf" "$S/https/marieetgonzalo.files.wordpress.com/2004/06/generic-figures.pdf") ;; (find-reyeszolfpage) ;; (find-reyeszolftext) ;; (find-reyeszolfpage 11 "1 The category of C-Sets") ;; (find-reyeszolfpage 12 "1.1 Examples of C-Sets") ;; (find-reyeszolfpage 19 "1.2 Monomorphism, epimorphism, isomorphism") ;; (find-reyeszolfpage 22 "2 Representable C-sets and Yoneda lemma") ;; (find-reyeszolfpage 23 "2.1 Computation of representable -sets in the examples") ;; (find-reyeszolfpage 29 "2.2 Yoneda lemma") ;; (find-reyeszolfpage 30 "3 A C-set as a container of generic figures") ;; (find-reyeszolfpage 32 "3.1 Glueing in the examples") ;; (find-reyeszolfpage 34 "3.2 Glueing schemes as categories") ;; (find-reyeszolfpage 36 "4 Operations on -sets") ;; (find-reyeszolfpage 36 "4.1 Finite limits and finite collimates") ;; (find-reyeszolfpage 51 "4.2 Limits and colimits") ;; (find-reyeszolfpage 58 "4.3 Exponentiation") ;; (find-reyeszolfpage 70 "5 Generic figures") ;; (find-reyeszolfpage 70 "5.1 What is a generic figure?") ;; (find-reyeszolfpage 74 "5.2 Continuous C-sets and the Cauchy completion of the category") ;; (find-reyeszolfpage 81 "6 The object of truth values") ;; (find-reyeszolfpage 83 "6.1 Computation of the object in the examples") ;; (find-reyeszolfpage 90 "6.2 as a classifier") ;; (find-reyeszolfpage 95 "7 Adjointness in posets") ;; (find-reyeszolfpage 95 "7.1 General theory") ;; (find-reyeszolfpage 100 "7.2 Logical operations as adjoint maps") ;; (find-reyeszolfpage 106 "8 Adjointness in categories") ;; (find-reyeszolfpage 107 "8.1 Adjoint functors") ;; (find-reyeszolfpage 112 "8.2 Examples of adjoint functors") ;; (find-reyeszolfpage 120 "9 Logical operations in C-Sets") ;; (find-reyeszolfpage 121 "9.1 The poset of sub-C-sets of a C-set") ;; (find-reyeszolfpage 130 "9.2 Naturality of logical operations") ;; (find-reyeszolfpage 140 "9.3 Quantifiers") ;; (find-reyeszolfpage 144 "9.4 Internal power sets") ;; (find-reyeszolfpage 151 "9.5 Examples of internal power sets") ;; (find-reyeszolfpage 156 "10 Doctrines") ;; (find-reyeszolfpage 156 "10.1 Propositional doctrines") ;; (find-reyeszolfpage 159 "10.2 Predicate doctrines") ;; (find-reyeszolfpage 170 "11 Geometric morphisms") ;; (find-reyeszolfpage 170 "11.1 The pair (DD,GG)") ;; (find-reyeszolfpage 177 "11.2 Sieves and") ;; (find-reyeszolfpage 179 "11.3 Essential geometric morphisms") ;; (find-reyeszolfpage 183 "11.4 Geometric morphisms in examples") ;; (find-reyeszolfpage 188 "11.5 The right adjoint to GG: the functor B") ;; (find-reyeszolfpage 195 "12 Connectivity") ;; (find-reyeszolfpage 195 "12.1 Connected C-sets") ;; (find-reyeszolfpage 202 "12.2 Connectivity of") ;; (find-reyeszolfpage 209 "13 Geometric morphisms (bis)") ;; (find-reyeszolfpage 210 "13.1 Geometric morphisms: general case") ;; (find-reyeszolfpage 221 "13.2 The right adjoint to u") ;; (find-reyeszolfpage 231 "13.3 Comparing objects") ;; (find-reyeszolfpage 236 "14 Points of a category of C-sets") ;; (find-reyeszolfpage 247 "14.1 Categories and theories") ;; (to "slnm1448") ;; ;; (find-angg ".emacs" "caderno") ;; (find-caderno2page 51 "RRZ's book is centered on presheaves") ;; https://marieetgonzalo.files.wordpress.com/2011/04/history-of-categorical-logic-1963-1977-jean-pierre-marquis-and-gonzalo-e-reyes.pdf ;; «riehl» (to ".riehl") ;; (find-books "__cats/__cats.el" "riehl") ;; (find-LATEX "catsem-u.bib" "bib-Riehl") ;; Emily Riehl: "Category Theory in Context" (2016) ;; https://www.amazon.com/Category-Theory-Context-Aurora-Originals/dp/048680903X/ ;; http://www.math.jhu.edu/~eriehl/ ;; http://www.math.jhu.edu/~eriehl/context.pdf ;; (find-fline "$S/http/www.math.jhu.edu/~eriehl/") (code-pdf-page "riehlcc" "$S/http/www.math.jhu.edu/~eriehl/context.pdf") (code-pdf-text "riehlcc" "$S/http/www.math.jhu.edu/~eriehl/context.pdf" 18) ;; (find-riehlccpage) ;; (find-riehlcctext) ;; (find-riehlccpage 7 "Contents") ;; (find-riehlcctext) ;; (find-riehlccpage (+ 18 1) "1. Categories, Functors, Natural Transformations") ;; (find-riehlccpage (+ 18 3) "1.1. Abstract and concrete categories") ;; (find-riehlccpage (+ 18 9) "1.2. Duality") ;; (find-riehlccpage (+ 18 13) "1.3. Functoriality") ;; (find-riehlccpage (+ 18 17) "functor is depicted as follows") ;; (find-riehlcctext (+ 18 17) "functor is depicted as follows") ;; (find-riehlccpage (+ 18 19) "functors represented by") ;; (find-riehlcctext (+ 18 19) "functors represented by") ;; (find-riehlccpage (+ 18 23) "1.4. Naturality") ;; (find-riehlccpage (+ 18 29) "1.5. Equivalence of categories") ;; (find-riehlccpage (+ 18 36) "1.6. The art of the diagram chase") ;; (find-riehlcctext (+ 18 36) "1.6. The art of the diagram chase") ;; (find-riehlccpage (+ 18 40) "equational reasoning") ;; (find-riehlccpage (+ 18 44) "1.7. The 2-category of categories") ;; (find-riehlccpage (+ 18 49) "2. Universal Properties, Representability, and the Yoneda Lemma") ;; (find-riehlccpage (+ 18 50) "2.1. Representable functors") ;; (find-riehlccpage (+ 18 55) "2.2. The Yoneda lemma") ;; (find-riehlccpage (+ 18 57) "Theorem 2.2.4 (Yoneda lemma).") ;; (find-riehlcctext (+ 18 57) "Theorem 2.2.4 (Yoneda lemma).") ;; (find-riehlccpage (+ 18 60) "Corollary 2.2.8 (Yoneda embedding)") ;; (find-riehlcctext (+ 18 60) "Corollary 2.2.8 (Yoneda embedding)") ;; (find-riehlccpage (+ 18 62) "2.3. Universal properties and universal elements") ;; (find-riehlccpage (+ 18 66) "2.4. The category of elements") ;; (find-riehlccpage (+ 18 73) "3. Limits and Colimits") ;; (find-riehlccpage (+ 18 74) "3.1. Limits and colimits as universal cones") ;; (find-riehlccpage (+ 18 84) "3.2. Limits in the category of sets") ;; (find-riehlccpage (+ 18 90) "3.3. Preservation, reflection, and creation of limits and colimits") ;; (find-riehlccpage (+ 18 93) "3.4. The representable nature of limits and colimits") ;; (find-riehlccpage (+ 18 99) "3.5. Complete and cocomplete categories") ;; (find-riehlccpage (+ 18 106) "3.6. Functoriality of limits and colimits") ;; (find-riehlccpage (+ 18 109) "3.7. Size matters") ;; (find-riehlccpage (+ 18 110) "3.8. Interactions between limits and colimits") ;; (find-riehlccpage (+ 18 115) "4. Adjunctions") ;; (find-riehlccpage (+ 18 116) "4.1. Adjoint functors") ;; (find-riehlccpage (+ 18 122) "4.2. The unit and counit as universal arrows") ;; (find-riehlccpage (+ 18 126) "4.3. Contravariant and multivariable adjoint functors") ;; (find-riehlccpage (+ 18 132) "4.4. The calculus of adjunctions") ;; (find-riehlccpage (+ 18 136) "4.5. Adjunctions, limits, and colimits") ;; (find-riehlccpage (+ 18 136) "Theorem 4.5.2 (RAPL)") ;; (find-riehlcctext (+ 18 136) "Theorem 4.5.2 (RAPL)") ;; (find-riehlccpage (+ 18 143) "4.6. Existence of adjoint functors") ;; (find-riehlccpage (+ 18 153) "5. Monads and their Algebras") ;; (find-riehlccpage (+ 18 154) "5.1. Monads from adjunctions") ;; (find-riehlccpage (+ 18 158) "5.2. Adjunctions from monads") ;; (find-riehlccpage (+ 18 160) "Eilenberg-Moore Category") ;; (find-riehlccpage (+ 18 162) "Kleisli Category") ;; (find-riehlccpage (+ 18 166) "5.3. Monadic functors") ;; (find-riehlccpage (+ 18 168) "5.4. Canonical presentations via free algebras") ;; (find-riehlccpage (+ 18 173) "5.5. Recognizing categories of algebras") ;; (find-riehlccpage (+ 18 180) "5.6. Limits and colimits in categories of algebras") ;; (find-riehlccpage (+ 18 189) "6. All Concepts are Kan Extensions") ;; (find-riehlccpage (+ 18 190) "6.1. Kan extensions") ;; (find-riehlccpage (+ 18 193) "6.2. A formula for Kan extensions") ;; (find-riehlccpage (+ 18 199) "6.3. Pointwise Kan extensions") ;; (find-riehlccpage (+ 18 204) "6.4. Derived functors as Kan extensions") ;; (find-riehlccpage (+ 18 209) "6.5. All concepts") ;; (find-riehlccpage (+ 18 217) "Epilogue: Theorems in Category Theory") ;; (find-riehlccpage (+ 18 217) "E.1. Theorems in basic category theory") ;; (find-riehlccpage (+ 18 219) "E.2. Coherence for symmetric monoidal categories") ;; (find-riehlccpage (+ 18 221) "E.3. The universal property of the unit interval") ;; (find-riehlccpage (+ 18 222) "E.4. A characterization of Grothendieck toposes") ;; (find-riehlccpage (+ 18 223) "E.5. Embeddings of abelian categories") ;; (find-riehlccpage (+ 18 225) "Bibliography") ;; (find-riehlccpage (+ 18 229) "Catalog of Categories") ;; (find-riehlccpage (+ 18 231) "Glossary of Notation") ;; (find-riehlccpage (+ 18 233) "Index") ;; (find-riehlccpage (+ 18 235) "Index" "Eilenberg-Moore") ;; «riehl-matrices» (to ".riehl-matrices") ;; (find-books "__cats/__cats.el" "riehl-matrices") ;; http://www.math.jhu.edu/~eriehl/matrices.pdf (code-pdf-page "riehlmatrices" "$S/http/www.math.jhu.edu/~eriehl/matrices.pdf") (code-pdf-text "riehlmatrices" "$S/http/www.math.jhu.edu/~eriehl/matrices.pdf") ;; (find-riehlmatricespage) ;; (find-riehlmatricestext) ;; «rileycops» (to ".rileycops") ;; https://arxiv.org/abs/1809.00738 ;; https://arxiv.org/pdf/1809.00738.pdf ;; Mitchell Riley: "Categories of Optics" (code-pdf-page "rileycops" "$S/https/arxiv.org/pdf/1809.00738.pdf") (code-pdf-text "rileycops" "$S/https/arxiv.org/pdf/1809.00738.pdf") ;; (find-rileycopspage) ;; (find-rileycopstext) ;; «rivas» (to ".rivas") ;; (find-books "__cats/__cats.el" "rivas") ;; https://dcc.fceia.unr.edu.ar/~erivas/ ;; Exequiel Rivas: "Relating Idioms, Arrows and Monads from Monoidal Adjunctions" ;; https://arxiv.org/abs/1807.04084v1 ;; https://arxiv.org/pdf/1807.04084v1.pdf (code-pdf-page "rivasriamma" "$S/https/arxiv.org/pdf/1807.04084v1.pdf") (code-pdf-text "rivasriamma" "$S/https/arxiv.org/pdf/1807.04084v1.pdf") ;; (find-rivasriammapage) ;; (find-rivasriammatext) ;; «roberts-fixps» (to ".roberts-fixps") ;; https://arxiv.org/abs/2110.00239 ;; https://arxiv.org/pdf/2110.00239.pdf ;; David Michael Roberts: ;; "Substructural fixed-point theorems and the diagonal argument: theme and variations" (code-pdf-page "dmrfixed" "$S/http/2110.00239.pdf") (code-pdf-text "dmrfixed" "$S/http/2110.00239.pdf") ;; (find-dmrfixedpage) ;; (find-dmrfixedtext) ;; «rodin» (to ".rodin") ;; (find-books "__cats/__cats.el" "rodin") ;; Also here: ;; https://arxiv.org/abs/1210.1478 ;; http://arxiv.org/pdf/1210.1478v1.pdf (code-pdf-page "rodinamct" "~/books/__cats/rodin__axiomatic_method_and_category_theory.pdf") (code-pdf-text "rodinamct" "~/books/__cats/rodin__axiomatic_method_and_category_theory.pdf" 12) ;; (find-rodinamctpage) ;; (find-rodinamctpage 10 "Contents") ;; (find-rodinamctpage (+ 12 1) "1 Introduction") ;; (find-rodinamctpage (+ 12 13) "Part I A Brief History of the Axiomatic Method") ;; (find-rodinamctpage (+ 12 15) "2 Euclid: Doing and Showing.") ;; (find-rodinamctpage (+ 12 16) "2.1 Demonstration and "Monstration".") ;; (find-rodinamctpage (+ 12 19) "2.2 Are Euclid's Proofs Logical?") ;; (find-rodinamctpage (+ 12 23) "2.3 Instantiation, Objecthood and Objectivity") ;; (find-rodinamctpage (+ 12 27) "2.4 Proto-Logical Deduction and Geometrical Production") ;; (find-rodinamctpage (+ 12 35) "2.5 Euclid and Modern Mathematics") ;; (find-rodinamctpage (+ 11 39) "3 Hilbert: Making It Formal") ;; (find-rodinamctpage (+ 11 40) "3.1 Foundations of 1899: Logical Form and Mathematical Intuition") ;; (find-rodinamctpage (+ 11 47) "3.2 Foundations of 1899: Logicality and Logicism") ;; (find-rodinamctpage (+ 11 54) "3.3 Axiomatization of Logic: Logical Form Versus Symbolic Form") ;; (find-rodinamctpage (+ 11 60) "3.4 Foundations of 1927: Intuition Strikes Back") ;; (find-rodinamctpage (+ 11 64) "3.5 Symbolic Logic and Diagrammatic Logic") ;; (find-rodinamctpage (+ 11 68) "3.6 Foundations of 1934­1939: Doing Is Showing?") ;; (find-rodinamctpage (+ 11 70) "useful fictions") ;; (find-rodinamcttext (+ 11 70) "useful fictions") ;; (find-rodinamctpage (+ 11 73) "4 Formal Axiomatic Method and the Twentieth Century Mathematics") ;; (find-rodinamctpage (+ 11 74) "4.1 Set Theory") ;; (find-rodinamctpage (+ 11 76) "if-thenism") ;; (find-rodinamcttext (+ 11 76) "if-thenism") ;; (find-rodinamctpage (+ 11 78) "4.2 Bourbaki") ;; (find-rodinamctpage (+ 11 81) "GT is not categorical") ;; (find-rodinamcttext (+ 11 81) "GT is not categorical") ;; (find-rodinamctpage (+ 11 85) "concept of structure") ;; (find-rodinamcttext (+ 11 85) "concept of structure") ;; (find-rodinamctpage (+ 11 87) "4.3 Galilean Science and Set-Theoretic Foundations of Mathematics") ;; (find-rodinamctpage (+ 11 93) "4.4 Towards the New Axiomatic Method: Interpreting Logic") ;; (find-rodinamctpage (+ 10 99) "5 Lawvere: Pursuit of Objectivity") ;; (find-rodinamctpage (+ 10 104) "5.1 Elementary Theory of the Category of Sets") ;; (find-rodinamctpage (+ 10 105) "5.2 Category of Categories as a Foundation.") ;; (find-rodinamctpage (+ 10 110) "5.3 Conceptual Theories and Their Presentations.") ;; (find-rodinamctpage (+ 10 112) "calculus ratiocinator") ;; (find-rodinamcttext (+ 10 112) "calculus ratiocinator") ;; (find-rodinamctpage (+ 10 118) "5.4 Curry-Howard Correspondence and Cartesian Closed Categories") ;; (find-rodinamctpage (+ 10 122) "5.5 Hyperdoctrines") ;; (find-rodinamctpage (+ 10 125) "5.6 Functorial Semantics") ;; (find-rodinamctpage (+ 10 126) "5.7 Formal and Conceptual") ;; (find-rodinamctpage (+ 10 128) "5.8 Categorical Logic and Hegelian Dialectics") ;; (find-rodinamctpage (+ 10 136) "5.9 Toposes and Their Internal Logic") ;; (find-rodinamctpage (+ 8 149) "Part II Identity and Categorification") ;; (find-rodinamctpage (+ 8 149) "6 Identity in Classical and Constructive Mathematics") ;; (find-rodinamctpage (+ 8 149) "6.1 Paradoxes of Identity and Mathematical Doubles") ;; (find-rodinamctpage (+ 8 152) "6.2 Types and Tokens.") ;; (find-rodinamctpage (+ 8 153) "6.3 Frege and Russell on the Identity of Natural Numbers") ;; (find-rodinamctpage (+ 8 154) "6.4 Plato") ;; (find-rodinamctpage (+ 8 156) "6.5 Definitions by Abstraction") ;; (find-rodinamctpage (+ 8 157) "6.6 Relative Identity") ;; (find-rodinamctpage (+ 8 158) "6.7 Internal Relations.") ;; (find-rodinamctpage (+ 8 160) "6.8 Classes") ;; (find-rodinamctpage (+ 8 163) "6.9 Individuals") ;; (find-rodinamctpage (+ 8 166) "6.10 Extension and Intension.") ;; (find-rodinamctpage (+ 8 169) "6.11 Identity in the Intuitionistic Type Theory") ;; (find-rodinamctpage (+ 7 175) "7 Identity Through Change, Category Theory and Homotopy Theory") ;; (find-rodinamctpage (+ 7 175) "7.1 Relations Versus Transformations") ;; (find-rodinamctpage (+ 7 181) "7.2 How to Think Circle") ;; (find-rodinamctpage (+ 7 183) "7.3 Categorification.") ;; (find-rodinamctpage (+ 7 187) "7.4 Are Identity Morphisms Logical?") ;; (find-rodinamctpage (+ 7 188) "7.5 Fibred Categories.") ;; (find-rodinamctpage (+ 7 190) "7.6 Higher Categories") ;; (find-rodinamctpage (+ 7 193) "7.7 Homotopies") ;; (find-rodinamctpage (+ 7 199) "7.8 Model Categories.") ;; (find-rodinamctpage (+ 7 201) "7.9 Homotopy Type Theory") ;; (find-rodinamctpage (+ 7 204) "7.10 Univalent Foundations") ;; (find-rodinamctpage (+ 5 214) "Part III Subjective Intuitions and Objective Structures") ;; (find-rodinamctpage (+ 5 215) "8 How Mathematical Concepts Get Their Bodies") ;; (find-rodinamctpage (+ 5 215) "8.1 Changing Intuition") ;; (find-rodinamctpage (+ 5 217) "8.2 Form and Motion") ;; (find-rodinamctpage (+ 5 219) "8.3 Non-Euclidean Intuition") ;; (find-rodinamctpage (+ 5 224) "8.4 Lost Ideals") ;; (find-rodinamctpage (+ 5 230) "8.5 Are Intuitions Fundamental?.") ;; (find-rodinamctpage (+ 5 235) "9 Categories Versus Structures") ;; (find-rodinamctpage (+ 5 236) "9.1 Structuralism, Mathematical") ;; (find-rodinamctpage (+ 5 238) "9.2 What Replaces What?") ;; (find-rodinamctpage (+ 5 242) "9.3 Erlangen Program and Axiomatic Method") ;; (find-rodinamctpage (+ 5 246) "9.4 Objective Structures") ;; (find-rodinamctpage (+ 5 249) "9.5 Types and Categories of Structures") ;; (find-rodinamctpage (+ 5 253) "9.6 Invariance Versus Functoriality") ;; (find-rodinamctpage (+ 5 255) "9.7 Are Categories Structures?") ;; (find-rodinamctpage (+ 5 257) "9.8 Objects Are Maps") ;; (find-rodinamctpage (+ 4 265) "10 New Axiomatic Method (Instead of Conclusion)") ;; (find-rodinamctpage (+ 4 265) "10.1 Unification") ;; (find-rodinamctpage (+ 4 267) "10.2 Concentration") ;; (find-rodinamctpage (+ 4 268) "10.3 Internal Logic as a Guide and as an Organizing Principle") ;; (find-rodinamctpage (+ 4 273) "Bibliography") ;; (find-rodinamctpage (+ 3 283) "Index") ;; (find-rodinamcttext "") ;; http://ffp14.cpt.univ-mrs.fr/DOCUMENTS/SLIDES/RODIN_Andrei.pdf ;; "Constructive Identities for Physics" - slides, 2014 (code-pdf-page "rodincifp" "$S/http/ffp14.cpt.univ-mrs.fr/DOCUMENTS/SLIDES/RODIN_Andrei.pdf") (code-pdf-text "rodincifp" "$S/http/ffp14.cpt.univ-mrs.fr/DOCUMENTS/SLIDES/RODIN_Andrei.pdf") ;; (find-rodincifppage) ;; (find-rodincifptext) ;; «roman» (to ".roman") ;; (find-books "__cats/__cats.el" "roman") ;; Clarke, Elkins, Gibbons, Loregian, Milewski, Pillmore, Roman: "Profunctor optics, a categorical update" ;; https://arxiv.org/abs/2001.07488v1 ;; https://arxiv.org/pdf/2001.07488v1.pdf (code-pdf-page "romanpoptics" "$S/https/arxiv.org/pdf/2001.07488v1.pdf") (code-pdf-text "romanpoptics" "$S/https/arxiv.org/pdf/2001.07488v1.pdf") ;; (find-romanpopticspage) ;; (find-romanpopticstext) ;; (find-romanpopticspage 2 "Contents") ;; (find-romanpopticstext 2 "Contents") ;; Steven Roman: "An Introduction to the Language of Category Theory" (Compact Textbooks in Maths) (code-pdf-page "romanilct" "~/books/__cats/roman__an_introduction_to_the_language_of_category_theory.pdf") (code-pdf-text "romanilct" "~/books/__cats/roman__an_introduction_to_the_language_of_category_theory.pdf" 11) ;; (find-romanilctpage) ;; (find-romanilctpage 10 "Contents") ;; (find-romanilcttext 10 "Contents") ;; (find-romanilctpage (+ 11 1) "1 Categories") ;; (find-romanilctpage (+ 11 1) "Foundations") ;; (find-romanilctpage (+ 11 1) "The Definition") ;; (find-romanilctpage (+ 11 7) "Functors") ;; (find-romanilctpage (+ 11 11) "The Category of All Small Categories") ;; (find-romanilctpage (+ 11 11) "Concrete Categories") ;; (find-romanilctpage (+ 11 12) "Subcategories") ;; (find-romanilctpage (+ 11 14) "Diagrams") ;; (find-romanilctpage (+ 11 17) "Special Types of Morphisms") ;; (find-romanilctpage (+ 11 20) "Initial, Terminal and Zero Objects") ;; (find-romanilctpage (+ 11 21) "Duality") ;; (find-romanilctpage (+ 11 23) "New Categories From Old Categories") ;; (find-romanilctpage (+ 11 29) "The Categorical Product") ;; (find-romanilctpage (+ 11 32) "Exercises") ;; (find-romanilctpage (+ 11 37) "2 Functors and Natural Transformations") ;; (find-romanilctpage (+ 11 37) "Examples of Functors") ;; (find-romanilctpage (+ 11 43) "Morphisms of Functors: Natural Transformations") ;; (find-romanilctpage (+ 11 53) "Functor Categories") ;; (find-romanilctpage (+ 11 53) "The Category of Diagrams") ;; (find-romanilctpage (+ 11 54) "Natural Equivalence") ;; (find-romanilctpage (+ 11 56) "Natural Transformations Between Hom Functors") ;; (find-romanilctpage (+ 11 57) "The Yoneda Embedding") ;; (find-romanilctpage (+ 11 60) "Yoneda's Lemma") ;; (find-romanilctpage (+ 11 65) "Exercises") ;; (find-romanilctpage (+ 11 71) "3 Universality") ;; (find-romanilctpage (+ 11 71) "The Universal Mapping Property") ;; (find-romanilctpage (+ 11 72) "The Mediating Morphism Maps") ;; (find-romanilctpage (+ 11 76) "Examples") ;; (find-romanilctpage (+ 11 80) "The Importance of Universality") ;; (find-romanilctpage (+ 11 80) "Uniqueness of Universal Pairs") ;; (find-romanilctpage (+ 11 82) "Couniversality") ;; (find-romanilctpage (+ 11 85) "Exercises") ;; (find-romanilctpage (+ 11 87) "4 Cones and Limits") ;; (find-romanilctpage (+ 11 87) "Cones and Cocones") ;; (find-romanilctpage (+ 11 88) "Cone and Cocone Categories") ;; (find-romanilctpage (+ 11 89) "Any Category Is a Cone Category: Objects Are One-Legged Cones") ;; (find-romanilctpage (+ 11 90) "Limits and Colimits") ;; (find-romanilctpage (+ 11 91) "Terminal Cones and Couniversality") ;; (find-romanilctpage (+ 11 92) "Categorical Constructions") ;; (find-romanilctpage (+ 11 93) "Equalizers and Coequalizers") ;; (find-romanilctpage (+ 11 98) "Products and Coproducts") ;; (find-romanilctpage (+ 11 101) "Pullbacks and Pushouts") ;; (find-romanilctpage (+ 11 106) "Exponentials") ;; (find-romanilctpage (+ 11 109) "Existence of Limits") ;; (find-romanilctpage (+ 11 113) "Exercises") ;; (find-romanilctpage (+ 11 119) "5 Adjoints") ;; (find-romanilctpage (+ 11 119) "Binaturalness") ;; (find-romanilctpage (+ 11 121) "The Unit-Counit Structure") ;; (find-romanilctpage (+ 11 124) "Uniqueness of Adjoints") ;; (find-romanilctpage (+ 11 125) "Summary") ;; (find-romanilctpage (+ 11 127) "Examples of Adjoints") ;; (find-romanilctpage (+ 11 133) "Adjoints and the Preservation of Limits") ;; (find-romanilctpage (+ 11 135) "The Existence of Adjoints") ;; (find-romanilctpage (+ 11 141) "Exercises") ;; (find-romanilctpage (+ 11 145) "Answers to Selected Exercises") ;; (find-romanilctpage (+ 11 163) "Index of Symbols") ;; (find-romanilctpage (+ 11 165) "References") ;; (find-romanilctpage (+ 11 167) "Index") ;; «rosebrugh-wood» (to ".rosebrugh-wood") ;; (find-books "__cats/__cats.el" "rosebrugh-wood") ;; http://www.ams.org/journals/proc/1994-122-02/home.html ;; http://www.ams.org/journals/proc/1994-122-02/S0002-9939-1994-1216823-2/S0002-9939-1994-1216823-2.pdf (code-pdf "acotcos" "~/books/__cats/rosebrugh_wood__an_adjoint_characterizationof_the_category_of_sets.pdf") (code-pdftotext "acotcos" "~/books/__cats/rosebrugh_wood__an_adjoint_characterizationof_the_category_of_sets.pdf" 1) ;; (find-acotcospage) ;; (find-acotcospage (+ -408 409) "Index") ;; (find-acotcostext "") ;; "Distributive Adjoint Strings" (1995): ;; http://www.tac.mta.ca/tac/volumes/1995/n6/v1n6.pdf ;; «rosiak» (to ".rosiak") ;; (find-books "__cats/__cats.el" "rosiak") (code-pdf-page "rosiak" "~/books/__cats/rosiak__sheaf_theory_through_examples.pdf") (code-pdf-text "rosiak" "~/books/__cats/rosiak__sheaf_theory_through_examples.pdf" 10) ;; (find-rosiakpage) ;; (find-rosiaktext "") ;; (find-rosiakpage 7 "Contents") ;; (find-rosiaktext 7 "Contents") ;; (find-rosiakpage (+ 10 1) "Introduction") ;; (find-rosiakpage (+ 10 21) "1 Categories") ;; (find-rosiakpage (+ 10 21) "1.1 Categorical Preliminaries") ;; (find-rosiakpage (+ 10 35) "1.2 A Few More Examples") ;; (find-rosiakpage (+ 10 36) "1.3 Returning to the Definition and Distinctions of Size") ;; (find-rosiakpage (+ 10 40) "1.4 Some New Categories from Old") ;; (find-rosiakpage (+ 10 43) "1.5 Aside on "No Objects"") ;; (find-rosiakpage (+ 10 45) "2 Prelude to Sheaves: Presheaves") ;; (find-rosiakpage (+ 10 46) "2.1 Functors") ;; (find-rosiakpage (+ 10 61) "2.2 Natural Transformations") ;; (find-rosiakpage (+ 10 65) "2.3 Seeing Structures as Presheaves") ;; (find-rosiakpage (+ 10 71) "2.4 The Presheaf Action") ;; (find-rosiakpage (+ 10 85) "2.5 Philosophical Pass: The Four Action Perspectives") ;; (find-rosiakpage (+ 10 89) "3 Universal Constructions") ;; (find-rosiakpage (+ 10 89) "3.1 Limits and Colimits") ;; (find-rosiakpage (+ 10 104) "3.2 Philosophical Pass: Universality and Mediation") ;; (find-rosiakpage (+ 10 109) "4 Topology: A First Pass at Space") ;; (find-rosiakpage (+ 10 109) "4.1 Motivation") ;; (find-rosiakpage (+ 10 111) "4.2 A Dialogue Introducing the Key Notions of Topology") ;; (find-rosiakpage (+ 10 123) "4.3 Topology and Topological Spaces More Formally") ;; (find-rosiakpage (+ 10 144) "4.4 Philosophical Pass: Open Questions") ;; (find-rosiakpage (+ 10 147) "5 First Look at Sheaves") ;; (find-rosiakpage (+ 10 147) "5.1 Sheaves: The Topological Definition") ;; (find-rosiakpage (+ 10 151) "5.2 Examples") ;; (find-rosiakpage (+ 10 168) "5.3 Philosophical Pass: Sheaf as Local-Global Passage") ;; (find-rosiakpage (+ 10 171) "6 There's a Yoneda Lemma for That") ;; (find-rosiakpage (+ 10 171) "6.1 First, Enrichment!") ;; (find-rosiakpage (+ 10 175) "6.2 Downsets and Yoneda in the Miniature") ;; (find-rosiakpage (+ 10 178) "Proposition 149 (Yoneda embedding for posets)") ;; (find-rosiaktext (+ 10 178) "Proposition 149 (Yoneda embedding for posets)") ;; (find-rosiakpage (+ 10 179) "6.3 Representability Simplified") ;; (find-rosiakpage (+ 10 183) "6.4 More on Representability, Fixed Points, and a Paradox") ;; (find-rosiakpage (+ 10 187) "6.5 Yoneda in the General") ;; (find-rosiakpage (+ 10 190) "6.6 Philosophical Pass: Yoneda and Relationality") ;; (find-rosiakpage (+ 10 195) "7 Adjunctions") ;; (find-rosiakpage (+ 10 195) "7.1 Adjunctions through Morphology") ;; (find-rosiakpage (+ 10 210) "7.2 Adjunctions through Modalities") ;; (find-rosiakpage (+ 10 237) "7.3 Some Additional Adjunctions and Final Thoughts") ;; (find-rosiakpage (+ 10 239) "7.4 Philosophical Pass: The Idea of Adjointness") ;; (find-rosiakpage (+ 10 241) "8 Sheaves Revisited") ;; (find-rosiakpage (+ 10 241) "8.1 Three Historically Significant Examples") ;; (find-rosiakpage (+ 10 267) "8.2 What Is Not a Sheaf?") ;; (find-rosiakpage (+ 10 271) "8.3 Presheaves and Sheaves in Order Theory") ;; (find-rosiakpage (+ 10 277) "9 Cellular Sheaf Cohomology through Examples") ;; (find-rosiakpage (+ 10 279) "9.1 Simplices and Their Sheaves") ;; (find-rosiakpage (+ 10 292) "9.2 Sheaf Cohomology") ;; (find-rosiakpage (+ 10 305) "9.3 Philosophical Pass: Sheaf Cohomology") ;; (find-rosiakpage (+ 10 306) "9.4 A Glimpse into Cosheaves") ;; (find-rosiakpage (+ 10 311) "10 Sheaves on a Site") ;; (find-rosiakpage (+ 10 311) "10.1 Revisiting Covers: Toward General Sheaves") ;; (find-rosiakpage (+ 10 314) "10.2 Grothendieck Toposes") ;; (find-rosiakpage (+ 10 353) "10.3 A Few More Examples") ;; (find-rosiakpage (+ 10 365) "10.4 Philosophical Pass: The Idea of Toposes") ;; (find-rosiakpage (+ 10 369) "11 Elementary Toposes") ;; (find-rosiakpage (+ 10 370) "11.1 The Subobject Classifier") ;; (find-rosiakpage (+ 10 377) "11.2 Examples of Elementary Toposes") ;; (find-rosiakpage (+ 10 379) "11.3 Lawvere-Tierney Topologies and Their Sheaves") ;; (find-rosiakpage (+ 10 394) "11.4 Morphisms of Toposes") ;; (find-rosiakpage (+ 10 400) "11.5 Toward Cohesive Toposes") ;; (find-rosiakpage (+ 10 411) "A Appendix (Revisiting Topology)") ;; (find-rosiakpage (+ 10 412) "A.1 Conceptual Motivation: Topology as Logic of Finite Observations") ;; (find-rosiakpage (+ 10 415) "A.2 Explicit Connections to Modal Logic") ;; (find-rosiakpage (+ 10 424) "A.3 The Idea of All This") ;; (find-rosiakpage (+ 10 426) "A.4 Why Opens?") ;; (find-rosiakpage (+ 10 429) "A.5 What Is Topology Really About?") ;; (find-rosiakpage (+ 10 431) "References") ;; (find-rosiakpage (+ 10 439) "Index") ;; «rydeheard-burstall» (to ".rydeheard-burstall") ;; (find-books "__cats/__cats.el" "rydeheard-burstall") ;; http://www.philipzucker.com/computational-category-theory-in-python-i-dictionaries-for-finset/ ;; http://www.philipzucker.com/computational-category-theory-in-python-ii-numpy-for-finvect/ ;; http://www.cs.man.ac.uk/~david/ ;; http://www.cs.man.ac.uk/~david/categories/index.html ;; http://www.cs.man.ac.uk/~david/categories/programs/ ;; http://www.cs.man.ac.uk/~david/categories/book/book.pdf ;; (find-fline "$S/http/www.cs.man.ac.uk/~david/categories/book/") (code-pdf-page "rydeheardburst" "$S/http/www.cs.man.ac.uk/~david/categories/book/book.pdf") (code-pdf-text "rydeheardburst" "$S/http/www.cs.man.ac.uk/~david/categories/book/book.pdf" 13) ;; (find-rydeheardburstpage) ;; (find-rydeheardbursttext) ;; (find-rydeheardburstpage 4 "Contents") ;; (find-rydeheardbursttext 4 "Contents") ;; (find-rydeheardburstpage (+ 13 1) "1 Introduction") ;; (find-rydeheardburstpage (+ 13 4) "1.1 The contents") ;; (find-rydeheardburstpage (+ 13 6) "1.2 Accompanying texts") ;; (find-rydeheardburstpage (+ 13 6) "1.2.1 Textbooks on category theory") ;; (find-rydeheardburstpage (+ 13 7) "1.2.2 ML references and availability") ;; (find-rydeheardburstpage (+ 13 7) "1.2.3 A selection of textbooks on functional programming") ;; (find-rydeheardburstpage (+ 13 8) "1.3 Acknowledgements") ;; (find-rydeheardburstpage (+ 13 9) "2 Functional Programming in ML") ;; (find-rydeheardburstpage (+ 13 11) "2.1 Expressions, values and environments") ;; (find-rydeheardburstpage (+ 13 13) "2.2 Functions") ;; (find-rydeheardburstpage (+ 13 14) "2.2.1 Recursive definitions") ;; (find-rydeheardburstpage (+ 13 14) "2.2.2 Higher order functions") ;; (find-rydeheardburstpage (+ 13 15) "2.3 Types") ;; (find-rydeheardburstpage (+ 13 16) "2.3.1 Primitive types") ;; (find-rydeheardburstpage (+ 13 16) "2.3.2 Compound types") ;; (find-rydeheardburstpage (+ 13 17) "2.3.3 Type abbreviation") ;; (find-rydeheardburstpage (+ 13 17) "2.4 Type polymorphism") ;; (find-rydeheardburstpage (+ 13 20) "2.5 Patterns") ;; (find-rydeheardburstpage (+ 13 21) "2.6 Defining types") ;; (find-rydeheardburstpage (+ 13 24) "2.7 Abstract types") ;; (find-rydeheardburstpage (+ 13 26) "2.8 Exceptions") ;; (find-rydeheardburstpage (+ 13 27) "2.9 Other facilities") ;; (find-rydeheardburstpage (+ 13 27) "2.10 Exercises") ;; (find-rydeheardburstpage (+ 13 35) "3 Categories and Functors") ;; (find-rydeheardburstpage (+ 13 35) "3.1 Categories") ;; (find-rydeheardburstpage (+ 13 38) "3.1.1 Diagram chasing") ;; (find-rydeheardburstpage (+ 13 39) "3.1.2 Subcategories, isomorphisms, monics and epis") ;; (find-rydeheardburstpage (+ 13 40) "3.2 Examples") ;; (find-rydeheardburstpage (+ 13 40) "3.2.1 Sets and finite sets") ;; (find-rydeheardburstpage (+ 13 40) "3.2.2 Graphs") ;; (find-rydeheardburstpage (+ 13 41) "3.2.3 Finite categories") ;; (find-rydeheardburstpage (+ 13 41) "3.2.4 Relations and partial orders") ;; (find-rydeheardburstpage (+ 13 42) "3.2.5 Partial orders as categories") ;; (find-rydeheardburstpage (+ 13 42) "3.2.6 Deductive systems") ;; (find-rydeheardburstpage (+ 13 43) "3.2.7 Universal algebra: terms, algebras and equations") ;; (find-rydeheardburstpage (+ 13 46) "3.2.8 Sets with structure and structure-preserving arrows") ;; (find-rydeheardburstpage (+ 13 47) "3.3 Categories computationally") ;; (find-rydeheardburstpage (+ 13 49) "3.4 Categories as values") ;; (find-rydeheardburstpage (+ 13 49) "3.4.1 The category of finite sets") ;; (find-rydeheardburstpage (+ 13 50) "3.4.2 Terms and term substitutions: the category T F in") ;; (find-rydeheardburstpage (+ 13 52) "3.4.3 A finite category") ;; (find-rydeheardburstpage (+ 13 53) "3.5 Functors") ;; (find-rydeheardburstpage (+ 13 54) "3.5.1 Functors computationally") ;; (find-rydeheardburstpage (+ 13 54) "3.5.2 Examples") ;; (find-rydeheardburstpage (+ 13 55) "3.6 Duality") ;; (find-rydeheardburstpage (+ 13 57) "3.7 An assessment") ;; (find-rydeheardburstpage (+ 13 60) "3.8 Conclusion") ;; (find-rydeheardburstpage (+ 13 60) "3.9 Exercises") ;; (find-rydeheardburstpage (+ 13 65) "4 Limits and Colimits") ;; (find-rydeheardburstpage (+ 13 67) "4.1 Definition by universality") ;; (find-rydeheardburstpage (+ 13 68) "4.2 Finite colimits") ;; (find-rydeheardburstpage (+ 13 69) "4.2.1 Initial objects") ;; (find-rydeheardburstpage (+ 13 70) "4.2.2 Binary coproducts") ;; (find-rydeheardburstpage (+ 13 72) "4.2.3 Coequalizers and pushouts") ;; (find-rydeheardburstpage (+ 13 74) "4.3 Computing colimits") ;; (find-rydeheardburstpage (+ 13 79) "4.4 Graphs, diagrams and colimits") ;; (find-rydeheardburstpage (+ 13 82) "4.5 A general construction of colimits") ;; (find-rydeheardburstpage (+ 13 88) "4.6 Colimits in the category of finite sets") ;; (find-rydeheardburstpage (+ 13 90) "4.7 A calculation of pushouts") ;; (find-rydeheardburstpage (+ 13 93) "4.8 Duality and limits") ;; (find-rydeheardburstpage (+ 13 95) "4.9 Limits in the category of finite sets") ;; (find-rydeheardburstpage (+ 13 97) "4.10 An application: operations on relations") ;; (find-rydeheardburstpage (+ 13 100) "4.11 Exercises") ;; (find-rydeheardburstpage (+ 13 103) " 5 Constructing Categories") ;; (find-rydeheardburstpage (+ 13 104) "5.1 Comma categories") ;; (find-rydeheardburstpage (+ 13 105) "5.1.1 Representing comma categories") ;; (find-rydeheardburstpage (+ 13 107) "5.2 Colimits in comma categories") ;; (find-rydeheardburstpage (+ 13 109) "5.3 Calculating colimits of graphs") ;; (find-rydeheardburstpage (+ 13 113) "5.4 Functor categories") ;; (find-rydeheardburstpage (+ 13 113) "5.4.1 Natural transformations") ;; (find-rydeheardburstpage (+ 13 114) "5.4.2 Functor categories") ;; (find-rydeheardburstpage (+ 13 116) "5.5 Colimits in functor categories") ;; (find-rydeheardburstpage (+ 13 118) "5.6 Duality and limits") ;; (find-rydeheardburstpage (+ 13 120) "5.7 Abstract colimits and limits") ;; (find-rydeheardburstpage (+ 13 121) "5.7.1 Abstract diagrams and colimits") ;; (find-rydeheardburstpage (+ 13 122) "5.7.2 Category constructions") ;; (find-rydeheardburstpage (+ 13 123) "5.7.3 Indexed colimit structures") ;; (find-rydeheardburstpage (+ 13 123) "5.7.4 Discussion") ;; (find-rydeheardburstpage (+ 13 124) "5.8 Exercises") ;; (find-rydeheardburstpage (+ 13 127) "6 Adjunctions") ;; (find-rydeheardburstpage (+ 13 128) "6.1 Definitions of adjunctions") ;; (find-rydeheardburstpage (+ 13 130) "6.2 Representing adjunctions") ;; (find-rydeheardburstpage (+ 13 131) "6.3 Examples") ;; (find-rydeheardburstpage (+ 13 132) "bers to integers") ;; (find-rydeheardburstpage (+ 13 132) "6.3.2 Components of a graph") ;; (find-rydeheardburstpage (+ 13 134) "6.3.3 Free algebras") ;; (find-rydeheardburstpage (+ 13 136) "6.3.4 Graph theory") ;; (find-rydeheardburstpage (+ 13 138) "6.3.5 Limits and colimits") ;; (find-rydeheardburstpage (+ 13 138) "6.3.6 Adjunctions and comma categories") ;; (find-rydeheardburstpage (+ 13 139) "6.3.7 Examples from algebra and topology") ;; (find-rydeheardburstpage (+ 13 140) "6.4 Computing with adjunctions") ;; (find-rydeheardburstpage (+ 13 142) "6.5 Free algebras") ;; (find-rydeheardburstpage (+ 13 143) "6.5.1 Constructing free algebras") ;; (find-rydeheardburstpage (+ 13 144) "6.5.2 A program") ;; (find-rydeheardburstpage (+ 13 146) "6.5.3 An example: transitive closure") ;; (find-rydeheardburstpage (+ 13 149) "6.5.4 Other constructions of free algebras") ;; (find-rydeheardburstpage (+ 13 152) "6.6 Exercises") ;; (find-rydeheardburstpage (+ 13 155) "7 Toposes") ;; (find-rydeheardburstpage (+ 13 156) "7.1 Cartesian closed categories") ;; (find-rydeheardburstpage (+ 13 157) "7.1.1 An example: the category of finite sets") ;; (find-rydeheardburstpage (+ 13 159) "7.2 Toposes") ;; (find-rydeheardburstpage (+ 13 161) " 7.2.1 An example: the topos of finite sets") ;; (find-rydeheardburstpage (+ 13 162) "7.2.2 Computing in a topos") ;; (find-rydeheardburstpage (+ 13 164) "7.2.3 Logic in a topos") ;; (find-rydeheardburstpage (+ 13 166) "7.2.4 An example: a three-valued logic") ;; (find-rydeheardburstpage (+ 13 170) "7.3 Conclusion") ;; (find-rydeheardburstpage (+ 13 171) "7.4 Exercises") ;; (find-rydeheardburstpage (+ 13 173) "8 A Categorical Unification Algorithm") ;; (find-rydeheardburstpage (+ 13 174) "8.1 The unification of terms") ;; (find-rydeheardburstpage (+ 13 175) "8.2 Unification as a coequalizer") ;; (find-rydeheardburstpage (+ 13 176) "8.3 On constructing coequalizers") ;; (find-rydeheardburstpage (+ 13 180) "8.4 A categorical program") ;; (find-rydeheardburstpage (+ 13 187) "9 Constructing Theories") ;; (find-rydeheardburstpage (+ 13 188) "9.1 Preliminaries") ;; (find-rydeheardburstpage (+ 13 190) "9.2 Constructing theories") ;; (find-rydeheardburstpage (+ 13 194) "9.3 Theories and institutions") ;; (find-rydeheardburstpage (+ 13 197) "9.4 Colimits of theories") ;; (find-rydeheardburstpage (+ 13 199) "9.5 Environments") ;; (find-rydeheardburstpage (+ 13 200) "9.6 Semantic operations") ;; (find-rydeheardburstpage (+ 13 201) "9.7 Implementing a categorical semantics") ;; (find-rydeheardburstpage (+ 13 203) "10 Formal Systems for Category Theory") ;; (find-rydeheardburstpage (+ 13 204) "10.1 Formal aspects of category theory") ;; (find-rydeheardburstpage (+ 13 207) "10.2 Category theory in OBJ") ;; (find-rydeheardburstpage (+ 13 216) "10.3 Category theory in a type theory") ;; (find-rydeheardburstpage (+ 13 218) "10.4 Categorical data types") ;; (find-rydeheardburstpage (+ 13 223) "A ML Keywords") ;; (find-rydeheardburstpage (+ 13 225) "B Index of ML Functions") ;; (find-rydeheardburstpage (+ 13 229) "C Other ML Functions") ;; (find-rydeheardburstpage (+ 13 231) "D Answers to Programming Exercises") ;; (find-rydeheardburstpage (+ 13 236) "References") ;; «schubert» (to ".schubert") ;; (find-books "__cats/__cats.el" "schubert") ;; Horst Schubert: "Categories" (1972) (code-pdf-page "schubertcats" "~/books/__cats/schubert__categories.pdf") (code-pdf-text "schubertcats" "~/books/__cats/schubert__categories.pdf" 12) ;; (find-schubertcatspage) ;; (find-schubertcatspage 9 "Contents") ;; (find-schubertcatspage (+ 12 1) "1. Categories") ;; (find-schubertcatspage (+ 12 378) "Index") ;; (find-schubertcatstext "") ;; «scedrov» (to ".scedrov") ;; (find-books "__cats/__cats.el" "scedrov") (code-pdf-page "scedrovfact" "~/books/__cats/scedrov__forcing_and_classifying_topoi.pdf") (code-pdf-text "scedrovfact" "~/books/__cats/scedrov__forcing_and_classifying_topoi.pdf" 1) ;; (find-scedrovfactpage) ;; (find-scedrovfactpage 3 "Contents") ;; (find-scedrovfactpage (+ 10 1) "0. Preliminaries") ;; (find-scedrovfacttext "") ;; «scott» (to ".scott") ;; http://www.site.uottawa.ca/~phil/ ;; http://www.site.uottawa.ca/~phil/papers/Lambekfest2.pdf ;; Phil Scott: "From Gödel to Lambek: Studies in the Foundations of Mathematics" (code-pdf-page "scottfgtl" "$S/http/www.site.uottawa.ca/~phil/papers/Lambekfest2.pdf") (code-pdf-text "scottfgtl" "$S/http/www.site.uottawa.ca/~phil/papers/Lambekfest2.pdf") ;; (find-scottfgtlpage) ;; (find-scottfgtltext) ;; Cubric, Dybjer, Scott: "Normalization and the Yoneda Embedding" ;; https://www.site.uottawa.ca/~phil/papers/yonedaccc.pdf (ugly) ;; https://dl.acm.org/doi/10.1017/S0960129597002508 (code-pdf-page "yonedaccc" "~/books/__cats/cubric_dybjer_scott__normalization_and_the_yoneda_embedding.pdf") (code-pdf-text "yonedaccc" "~/books/__cats/cubric_dybjer_scott__normalization_and_the_yoneda_embedding.pdf" 1) ;; (find-yonedacccpage) ;; (find-yonedacccpage 1 "Contents") ;; (find-yonedacccpage (+ 1 189) "Index") ;; (find-yonedaccctext "") ;; Dana Scott: Relating theories of the lambda-calculus (1980) ;; http://maxsnew.com/docs/scott80.pdf (code-pdf-page "danascott80rtl" "$S/http/maxsnew.com/docs/scott80.pdf") (code-pdf-text "danascott80rtl" "$S/http/maxsnew.com/docs/scott80.pdf") ;; (find-danascott80rtlpage) ;; (find-danascott80rtltext) ;; «seely» (to ".seely") ;; (find-books "__cats/__cats.el" "seely") ;; «seely-hyp» (to ".seely-hyp") ;; (find-books "__cats/__cats.el" "seely-hyp") ;; (find-LATEX "catsem.bib" "bib-SeelyBeck") ;; (find-angg ".emacs.papers" "seely") ;; "Hyperdoctrines, Natural Deduction and The Beck Condition" (1983) ;; http://www.math.mcgill.ca/rags/ZML/ZML.PDF ;; https://richardzach.org/2007/10/08/zeitschrift-fur-mathematische-logik-und-grundlagen-der-mathematik/ (code-pdf-page "seelyhyp" "$S/http/www.math.mcgill.ca/rags/ZML/ZML.PDF") (code-pdf-text "seelyhyp" "$S/http/www.math.mcgill.ca/rags/ZML/ZML.PDF" -504) ;; (find-angg ".emacs.papers" "seely-hyp") ;; (find-seelyhyppage (+ -504 505) "1. First Order Logic") ;; (find-seelyhyppage (+ -504 507) "equality rules") ;; (find-seelyhyppage (+ -504 508) "2. Operations on derivations") ;; (find-seelyhyppage (+ -504 510) "3. Hyperdoctrines") ;; (find-seelyhyppage (+ -504 511) "Beck condition") ;; (find-seelyhyppage (+ -504 512) "4. Construction 1: LPCE -> Hyperdoctrine") ;; (find-seelyhyppage (+ -504 513) "These are the required adjoints") ;; (find-seelyhyppage (+ -504 516) "ap is a derived rule") ;; (find-seelyhyppage (+ -504 518) "5. Construction 2: Hyperdoctrine -> LPCE") ;; (find-seelyhyppage (+ -504 525) "6. Equivalences") ;; (find-seelyhyppage (+ -504 527) "7. Examples") ;; (find-seelyhyppage (+ -504 529) "8. The Beck Condition") ;; (find-seelyhyppage (+ -504 523) "Lawvere [10]") ;; (find-seelyhyptext "") ;; «seely-lccc» (to ".seely-lccc") ;; (find-books "__cats/__cats.el" "seely-lccc") ;; (find-angg ".emacs.papers" "seely-lccc") ;; (find-LATEX "catsem.bib" "bib-SeelyLCCC") ;; "Locally cartesian closed categories and type theory" (1984) ;; http://www.math.mcgill.ca/rags/LCCC/LCCC.pdf ;; (find-books "__cats/__cats.el" "tlca2011") (code-pdf-page "seelylccc" "$S/http/www.math.mcgill.ca/rags/LCCC/LCCC.pdf") (code-pdf-text "seelylccc" "$S/http/www.math.mcgill.ca/rags/LCCC/LCCC.pdf" -32) ;; (find-seelylcccpage) ;; (find-seelylccctext) ;; (find-seelylcccpage (+ -32 33) "0. Introduction") ;; (find-seelylccctext (+ -32 33) "0. Introduction") ;; (find-seelylcccpage (+ -32 33) "1. The type theory ML") ;; (find-seelylccctext (+ -32 33) "1. The type theory ML") ;; (find-seelylcccpage (+ -32 35) "1-2. Remarks") ;; (find-seelylccctext (+ -32 35) "1-2. Remarks") ;; (find-seelylcccpage (+ -32 36) "2. Categorical preliminaries") ;; (find-seelylccctext (+ -32 36) "2. Categorical preliminaries") ;; (find-seelylcccpage (+ -32 37) "(iv) P satisfies the Beck condition:") ;; (find-seelylccctext (+ -32 37) "(iv) P satisfies the Beck condition:") ;; (find-seelylcccpage (+ -32 38) "3. From ML to LCC") ;; (find-seelylccctext (+ -32 38) "3. From ML to LCC") ;; (find-seelylcccpage (+ -32 41) "4. Interpreting ML in LGC") ;; (find-seelylccctext (+ -32 41) "4. Interpreting ML in LGC") ;; (find-seelylcccpage (+ -32 46) "5. From LCC to ML") ;; (find-seelylccctext (+ -32 46) "5. From LCC to ML") ;; «seely-plc» (to ".seely-plc") ;; (find-books "__cats/__cats.el" "seely-plc") ;; (find-angg ".emacs.papers" "seely-plc") ;; (find-LATEX "catsem.bib" "bib-SeelyPLC") ;; "Categorical Semantics for Higher Order Polymorphic Lambda Calculus" (1987) ;; http://www.math.mcgill.ca/rags/JSL/PLC.pdf ;; https://www.jstor.org/stable/2273831 / doi:10.2307/2273831  (code-pdf-page "seelyplc" "~/books/__cats/seely__categorical_semantics_for_higher_order_polymorphic_lambda_calculus.pdf") (code-pdf-text "seelyplc" "~/books/__cats/seely__categorical_semantics_for_higher_order_polymorphic_lambda_calculus.pdf" -967) ;; (find-seelyplcpage) ;; (find-seelyplcpage (+ -967 969) "0. Introduction") ;; (find-seelyplcpage (+ -967 972) "1.1.2. Operators") ;; (find-seelyplctext (+ -967 972) "1.1.2. Operators") ;; (find-seelyplcpage (+ -967 972) "1.1.4. Terms") ;; (find-seelyplctext (+ -967 972) "1.1.4. Terms") ;; (find-seelyplcpage (+ -967 974) "2. PL categories") ;; (find-seelyplctext (+ -967 974) "2. PL categories") ;; (find-seelyplcpage (+ -967 988) "REFERENCES") ;; (find-seelyplctext (+ -967 988) "REFERENCES") ;; (find-seelyplctext "") ;; «seely-diff» (to ".seely-diff") ;; (find-books "__cats/__cats.el" "seely-diff") ;; (find-LATEX "catsem.bib" "bib-SeelyDiff") ;; (find-angg ".emacs.papers" "seely-diff") ;; Blute/Cockett/Seely: "Differential categories" ;; http://www.math.mcgill.ca/rags/difftl/difftl.pdf (code-pdf-page "seelydiff" "$S/http/www.math.mcgill.ca/rags/difftl/difftl.pdf") (code-pdf-text "seelydiff" "$S/http/www.math.mcgill.ca/rags/difftl/difftl.pdf") ;; (find-seelydiffpage) ;; (find-seelydifftext) ;; «seely-cartdiffstor» (to ".seely-cartdiffstor") ;; http://www.math.mcgill.ca/rags/difftl/cart-diff-stor.pdf (code-pdf-page "cartdiffstor" "$S/http/www.math.mcgill.ca/rags/difftl/cart-diff-stor.pdf") (code-pdf-text "cartdiffstor" "$S/http/www.math.mcgill.ca/rags/difftl/cart-diff-stor.pdf") ;; (find-cartdiffstorpage) ;; (find-cartdiffstortext) ;; «seely-dcr» (to ".seely-dcr") ;; (find-books "__cats/__cats.el" "seely-dcr") ;; Blute/Cockett/Lemay/Seely: "Differential Categories Revisited" (2019) ;; https://arxiv.org/abs/1806.04804 ;; https://arxiv.org/pdf/1806.04804.pdf (code-pdf-page "seelydcr" "$S/https/arxiv.org/pdf/1806.04804.pdf") (code-pdf-text "seelydcr" "$S/https/arxiv.org/pdf/1806.04804.pdf") ;; (find-seelydcrpage) ;; (find-seelydcrtext) ;; «seely-lics» (to ".seely-lics") ;; "Modelling computations: a 2-categorical framework" ;; http://www.math.mcgill.ca/rags/WkAdj/ ;; http://www.math.mcgill.ca/rags/WkAdj/LICS.pdf (code-pdf-page "seelylics" "$S/http/www.math.mcgill.ca/rags/WkAdj/LICS.pdf") (code-pdf-text "seelylics" "$S/http/www.math.mcgill.ca/rags/WkAdj/LICS.pdf") ;; (find-seelylicspage) ;; (find-seelylicstext) ;; «seely-thesis» (to ".seely-thesis") ;; (find-books "__cats/__cats.el" "seely-thesis") (code-pdf-page "seelythesis" "~/books/__cats/seely__thesis_chapter_1.pdf") (code-pdf-text "seelythesis" "~/books/__cats/seely__thesis_chapter_1.pdf" 1) ;; (find-seelythesispage) ;; (find-seelythesispage (+ -5 7) "0. Introduction") ;; (find-seelythesispage (+ -7 10) "1. LPC") ;; (find-seelythesispage (+ -9 15) "1.2. Reductions and expansions") ;; (find-seelythesispage (+ -12 21) "2. LPC as a 2-category") ;; (find-seelythesispage (+ -13 23) "3. Structure of the connectives and quantifiers") ;; (find-seelythesispage (+ -23 43) "4. Formal adjointness") ;; (find-seelythesispage (+ 1 189) "Index") ;; «seely-bang» (to ".seely-bang") ;; (find-books "__cats/__cats.el" "seely-bang") ;; http://www.math.mcgill.ca/rags/bang/bang.pdf ;; https://www.cambridge.org/core/journals/mathematical-structures-in-computer-science/issue/48C25B04C6A6335045C0AF083F38E469 ;; https://www.cambridge.org/core/journals/mathematical-structures-in-computer-science/article/and-storage-as-tensorial-strength/FDCA0CA55952F87BD9C9FCE818FF2BBA ;; https://doi.org/10.1017/S0960129500001055 (code-pdf-page "seelybang" "$S/http/www.math.mcgill.ca/rags/bang/bang.pdf") (code-pdf-text "seelybang" "$S/http/www.math.mcgill.ca/rags/bang/bang.pdf") ;; (find-seelybangpage) ;; (find-seelybangtext) (code-pdf-page "seelybang" "~/books/__cats/blute_cockett_seely__storage_as_tensorial_strength.pdf") (code-pdf-text "seelybang" "~/books/__cats/blute_cockett_seely__storage_as_tensorial_strength.pdf" 1) ;; (find-seelybangpage) ;; (find-seelybangpage 1 "Contents") ;; (find-seelybangpage (+ 1 189) "Index") ;; (find-seelybangtext "") ;; «seely-cut» (to ".seely-cut") ;; "Proof Theory of the Cut Rule" ;; http://www.math.mcgill.ca/rags/misc/proof_theory-essay.pdf (code-pdf-page "seelycut" "$S/http/www.math.mcgill.ca/rags/misc/proof_theory-essay.pdf") (code-pdf-text "seelycut" "$S/http/www.math.mcgill.ca/rags/misc/proof_theory-essay.pdf") ;; (find-seelycutpage) ;; (find-seelycuttext) ;; «seely-sum-prod» (to ".seely-sum-prod") ;; (find-books "__cats/__cats.el" "seely-sum-prod") ;; Cockett/Seely: "Finite Sum-Product Logic" ;; http://www.tac.mta.ca/tac/volumes/8/n5/n5.pdf (code-pdf-page "seelysumprod" "$S/http/www.tac.mta.ca/tac/volumes/8/n5/n5.pdf") (code-pdf-text "seelysumprod" "$S/http/www.tac.mta.ca/tac/volumes/8/n5/n5.pdf") ;; (find-seelysumprodpage) ;; (find-seelysumprodtext) ;; http://www.math.mcgill.ca/rags/nets/nets.pdf ;; «selinger» (to ".selinger") ;; (find-books "__cats/__cats.el" "selinger") ;; https://www.mathstat.dal.ca/~selinger/ ;; https://www.mathstat.dal.ca/~selinger/people.html ;; https://www.mathstat.dal.ca/~selinger/papers.html#diss ;; https://www.mathstat.dal.ca/~selinger/papers/diss.pdf (code-pdf-page "selingerdiss" "$S/https/www.mathstat.dal.ca/~selinger/papers/diss.pdf") (code-pdf-text "selingerdiss" "$S/https/www.mathstat.dal.ca/~selinger/papers/diss.pdf" 13) ;; (find-selingerdisspage) ;; (find-selingerdisstext) ;; (find-selingerdisspage 9 "Contents") ;; (find-selingerdisstext 9 "Contents") ;; (find-selingerdisspage (+ 13 1) "Introduction") ;; (find-selingerdisspage (+ 13 5) "1 Preliminaries") ;; (find-selingerdisspage (+ 13 5) "1.1 Basic category theory") ;; (find-selingerdisspage (+ 13 5) "1.1.1 Categories") ;; (find-selingerdisspage (+ 13 6) "1.1.2 Functors") ;; (find-selingerdisspage (+ 13 7) "1.1.3 Natural transformations") ;; (find-selingerdisspage (+ 13 7) "1.1.4 Adjunctions") ;; (find-selingerdisspage (+ 13 7) "1.1.5 Limits and colimits") ;; (find-selingerdisspage (+ 13 8) "1.1.6 Cartesian-closed categories") ;; (find-selingerdisspage (+ 13 10) "1.2 Basic domain theory") ;; (find-selingerdisspage (+ 13 10) "1.2.1 Preorders and posets") ;; (find-selingerdisspage (+ 13 11) "1.2.2 Complete partial orders") ;; (find-selingerdisspage (+ 13 11) "1.2.3 Bounded complete partial orders") ;; (find-selingerdisspage (+ 13 11) "1.2.4 Stability") ;; (find-selingerdisspage (+ 13 12) "1.2.5 Domain equations") ;; (find-selingerdisspage (+ 13 13) "1.2.6 The D -construction") ;; (find-selingerdisspage (+ 13 13) "1.3 Basic universal algebra") ;; (find-selingerdisspage (+ 13 13) "1.3.1 -algebras") ;; (find-selingerdisspage (+ 13 14) "1.3.2 Term algebras") ;; (find-selingerdisspage (+ 13 14) "1.3.3 Algebraic varieties") ;; (find-selingerdisspage (+ 13 15) "1.3.4 Indeterminates") ;; (find-selingerdisspage (+ 13 16) "1.3.5 Ordered algebras") ;; (find-selingerdisspage (+ 13 17) "1.3.6 Dcpo-algebras") ;; (find-selingerdisspage (+ 13 19) "2 The Lambda Calculus is Algebraic") ;; (find-selingerdisspage (+ 13 20) "2.1 The lambda calculus") ;; (find-selingerdisspage (+ 13 20) "2.1.1 Lambda conversion") ;; (find-selingerdisspage (+ 13 21) "2.1.2 Lambda reduction and consistency") ;; (find-selingerdisspage (+ 13 22) "2.2 Combinatory models of the lambda calculus") ;; (find-selingerdisspage (+ 13 22) "2.2.1 Combinatory algebras and combinatory logic") ;; (find-selingerdisspage (+ 13 23) "2.2.2 The derived lambda abstractor") ;; (find-selingerdisspage (+ 13 23) "2.2.3 The local interpretation of lambda terms") ;; (find-selingerdisspage (+ 13 24) "2.2.4 Lambda algebras") ;; (find-selingerdisspage (+ 13 25) "2.3 Lambda algebras and indeterminates") ;; (find-selingerdisspage (+ 13 25) "2.3.1 A characterization of A[x] for lambda algebras") ;; (find-selingerdisspage (+ 13 26) "2.3.2 The absolute interpretation") ;; (find-selingerdisspage (+ 13 28) "2.3.3 Soundness and completeness for lambda algebras") ;; (find-selingerdisspage (+ 13 28) "2.4 Lambda theories and lambda algebras form equivalent categories") ;; (find-selingerdisspage (+ 13 29) "2.5 Lambda models") ;; (find-selingerdisspage (+ 13 30) "2.6 Models of the lambda--calculus") ;; (find-selingerdisspage (+ 13 30) "2.6.1 Curry algebras") ;; (find-selingerdisspage (+ 13 30) "2.6.2 Extensional models") ;; (find-selingerdisspage (+ 13 30) "2.7 Lambda algebras and categorical models") ;; (find-selingerdisspage (+ 13 30) "2.7.1 Reflexive ccc models") ;; (find-selingerdisspage (+ 13 31) "2.7.2 Reflexive ccc models and lambda algebras") ;; (find-selingerdisspage (+ 13 35) "3 Unorderability") ;; (find-selingerdisspage (+ 13 36) "3.1 Lambda terms cannot be ordered") ;; (find-selingerdisspage (+ 13 36) "3.1.1 Plotkin's unorderable algebra: Separability") ;; (find-selingerdisspage (+ 13 36) "3.1.2 The standard term algebras are unorderable") ;; (find-selingerdisspage (+ 13 37) "3.2 The Topological Completeness Problem") ;; (find-selingerdisspage (+ 13 39) "3.3 A characterization of absolutely unorderable algebras") ;; (find-selingerdisspage (+ 13 39) "3.3.1 Absolutely unorderable algebras and generalized Mal'cev operators") ;; (find-selingerdisspage (+ 13 40) "3.3.2 An application to ordered algebras and dcpo-algebras") ;; (find-selingerdisspage (+ 13 41) "3.4 Absolutely unorderable combinatory algebras") ;; (find-selingerdisspage (+ 13 43) "3.5 Relating different notions of unorderability") ;; (find-selingerdisspage (+ 13 43) "3.5.1 Local notions") ;; (find-selingerdisspage (+ 13 44) "3.5.2 Absolute notions") ;; (find-selingerdisspage (+ 13 47) "4 Finite Lambda Models") ;; (find-selingerdisspage (+ 13 47) "4.1 Models of reduction") ;; (find-selingerdisspage (+ 13 47) "4.1.1 Syntactical models of reduction") ;; (find-selingerdisspage (+ 13 48) "4.1.2 Categorical models of reduction") ;; (find-selingerdisspage (+ 13 49) "4.1.3 Models of -reduction: Order-extensionality") ;; (find-selingerdisspage (+ 13 49) "4.2 Tree models") ;; (find-selingerdisspage (+ 13 49) "4.2.1 Recapturing convertibility") ;; (find-selingerdisspage (+ 13 50) "4.2.2 A method for constructing models") ;; (find-selingerdisspage (+ 13 51) "4.3 Partial models") ;; (find-selingerdisspage (+ 13 52) "4.4 Examples") ;; (find-selingerdisspage (+ 13 52) "4.4.1 A class of finite models to distinguish the terms n") ;; (find-selingerdisspage (+ 13 53) "4.4.2 A non-trivial 3-element model") ;; (find-selingerdisspage (+ 13 54) "4.5 Completeness") ;; (find-selingerdisspage (+ 13 54) "4.6 Relating models of reduction to D -models") ;; (find-selingerdisspage (+ 13 57) "5 Henkin Representations, Polymorphism, and Empty Types") ;; (find-selingerdisspage (+ 13 58) "5.1 Henkin representations of cartesian-closed categories") ;; (find-selingerdisspage (+ 13 58) "5.1.1 Henkin representations") ;; (find-selingerdisspage (+ 13 59) "5.1.2 Henkin representations and well-pointed ccc's") ;; (find-selingerdisspage (+ 13 60) "5.1.3 Freely adjoining arrows to a ccc") ;; (find-selingerdisspage (+ 13 62) "5.1.4 Henkin representation theorems") ;; (find-selingerdisspage (+ 13 64) "5.2 The interpretation of the simply-typed lambda calculus") ;; (find-selingerdisspage (+ 13 64) "5.2.1 The simply-typed lambda calculus") ;; (find-selingerdisspage (+ 13 65) "5.2.2 Strict interpretation in a cartesian-closed category") ;; (find-selingerdisspage (+ 13 67) "5.2.3 The cartesian-closed category associated to a theory") ;; (find-selingerdisspage (+ 13 67) "5.2.4 Henkin representations of a free ccc") ;; (find-selingerdisspage (+ 13 67) "5.2.5 The non-strict interpretation of the simply-typed lambda calculus") ;; (find-selingerdisspage (+ 13 68) "5.3 From Henkin representation theorems to completeness theorems") ;; (find-selingerdisspage (+ 13 68) "5.3.1 The problem with empty types") ;; (find-selingerdisspage (+ 13 69) "5.3.2 A categorical analysis of the rule (non-empty)") ;; (find-selingerdisspage (+ 13 69) "5.3.3 Set-theoretic models with non-empty types") ;; (find-selingerdisspage (+ 13 69) "5.3.4 Set-theoretic models with empty types") ;; (find-selingerdisspage (+ 13 72) "5.3.5 Kripke lambda models") ;; (find-selingerdisspage (+ 13 72) "5.3.6 A remark on the principal model property") ;; (find-selingerdisspage (+ 13 72) "5.4 Henkin representations of PL -categories") ;; (find-selingerdisspage (+ 13 72) "5.4.1 PL -categories") ;; (find-selingerdisspage (+ 13 74) "5.4.2 Henkin-PL -representations") ;; (find-selingerdisspage (+ 13 75) "5.4.3 Standard structures") ;; (find-selingerdisspage (+ 13 76) "5.4.4 Freely adjoining arrows to the base of a PL -category") ;; (find-selingerdisspage (+ 13 77) "5.4.5 Henkin-PL -representation theorems") ;; (find-selingerdisspage (+ 13 78) "5.5 The interpretation of the polymorphic lambda calculus") ;; (find-selingerdisspage (+ 13 78) "5.5.1 The polymorphic lambda calculus") ;; (find-selingerdisspage (+ 13 79) "5.5.2 Strict interpretation in a PL -category") ;; (find-selingerdisspage (+ 13 81) "5.5.3 The PL -category associated to a theory") ;; (find-selingerdisspage (+ 13 81) "5.5.4 The non-strict interpretation of the polymorphic lambda calculus") ;; (find-selingerdisspage (+ 13 82) "5.6 From Henkin-PL -representation theorems to polymorphic completeness theorems") ;; (find-selingerdisspage (+ 13 82) "5.6.1 Set-theoretic models with non-empty types") ;; (find-selingerdisspage (+ 13 82) "5.6.2 Polymorphic Kripke models") ;; (find-selingerdisspage (+ 13 83) "6 First-Order Axioms for Asynchrony") ;; (find-selingerdisspage (+ 13 83) "6.1 An elementary definition of asynchrony") ;; (find-selingerdisspage (+ 13 84) "6.1.1 Labeled transition systems and bisimulation") ;; (find-selingerdisspage (+ 13 85) "6.1.2 Input, output and sequential composition") ;; (find-selingerdisspage (+ 13 87) "6.1.3 Buffers and queues") ;; (find-selingerdisspage (+ 13 87) "6.1.4 Notions of asynchrony") ;; (find-selingerdisspage (+ 13 88) "6.1.5 Examples") ;; (find-selingerdisspage (+ 13 89) "6.2 First-order axioms for asynchrony") ;; (find-selingerdisspage (+ 13 89) "6.2.1 Out-buffered agents") ;; (find-selingerdisspage (+ 13 92) "6.2.2 In-buffered agents") ;; (find-selingerdisspage (+ 13 93) "6.2.3 Out-queued and in-queued agents") ;; (find-selingerdisspage (+ 13 93) "6.3 More agent constructors and asynchrony with feedback") ;; (find-selingerdisspage (+ 13 93) "6.3.1 Some operations on agents") ;; (find-selingerdisspage (+ 13 94) "6.3.2 Asynchrony with feedback") ;; (find-selingerdisspage (+ 13 96) "6.4 Example: Asynchronous CCS") ;; (find-selingerdisspage (+ 13 99) "6.5 Example: The core join calculus") ;; (find-selingerdisspage (+ 13 100) "6.6 Other characterizations of asynchrony") ;; (find-selingerdisspage (+ 13 100) "6.6.1 Out-buffered agents") ;; (find-selingerdisspage (+ 13 102) "6.6.2 In-buffered agents") ;; (find-selingerdisspage (+ 13 104) "6.6.3 Out-queued and in-queued agents") ;; «selinger-ln» (to ".selinger-ln") ;; (find-books "__cats/__cats.el" "selinger-ln") ;; (find-LATEX "catsem-ab.bib" "bib-SelingerLN") ;; https://www.mathstat.dal.ca/~selinger/papers.html#lambdanotes ;; https://www.mathstat.dal.ca/~selinger/papers/lambdanotes.pdf ;; Also here: https://arxiv.org/pdf/0804.3434.pdf ;; https://arxiv.org/abs/0804.3434v2 (code-pdf-page "selingerln" "$S/https/www.mathstat.dal.ca/~selinger/papers/lambdanotes.pdf") (code-pdf-text "selingerln" "$S/https/www.mathstat.dal.ca/~selinger/papers/lambdanotes.pdf") ;; (find-selingerlnpage) ;; (find-selingerlntext) ;; (find-selingerlnpage 1 "Contents") ;; (find-selingerlntext 1 "Contents") ;; (find-selingerlnpage 6 "1 Introduction") ;; (find-selingerlnpage 6 "1.1 Extensional vs. intensional view of functions") ;; (find-selingerlnpage 7 "1.2 The lambda calculus") ;; (find-selingerlnpage 8 "1.3 Untyped vs. typed lambda-calculi") ;; (find-selingerlnpage 9 "1.4 Lambda calculus and computability") ;; (find-selingerlnpage 10 "1.5 Connections to computer science") ;; (find-selingerlnpage 10 "1.6 Connections to logic") ;; (find-selingerlnpage 11 "1.7 Connections to mathematics") ;; (find-selingerlnpage 11 "2 The untyped lambda calculus") ;; (find-selingerlnpage 11 "2.1 Syntax") ;; (find-selingerlnpage 13 "2.2 Free and bound variables, -equivalence") ;; (find-selingerlnpage 15 "2.3 Substitution") ;; (find-selingerlnpage 17 "2.4 Introduction to -reduction") ;; (find-selingerlnpage 18 "2.5 Formal definitions of -reduction and -equivalence") ;; (find-selingerlnpage 19 "3 Programming in the untyped lambda calculus") ;; (find-selingerlnpage 19 "3.1 Booleans") ;; (find-selingerlnpage 20 "3.2 Natural numbers") ;; (find-selingerlnpage 22 "3.3 Fixed points and recursive functions") ;; (find-selingerlnpage 24 "3.4 Other data types: pairs, tuples, lists, trees, etc.") ;; (find-selingerlnpage 26 "4 The Church-Rosser Theorem") ;; (find-selingerlnpage 26 "4.1 Extensionality, -equivalence, and -reduction") ;; (find-selingerlnpage 28 "4.2 Statement of the Church-Rosser Theorem, and some consequences") ;; (find-selingerlnpage 30 "4.3 Preliminary remarks on the proof of the Church-Rosser Theorem") ;; (find-selingerlnpage 32 "4.4 Proof of the Church-Rosser Theorem") ;; (find-selingerlnpage 37 "4.5 Exercises") ;; (find-selingerlnpage 38 "5 Combinatory algebras") ;; (find-selingerlnpage 39 "5.1 Applicative structures") ;; (find-selingerlnpage 40 "5.2 Combinatory completeness") ;; (find-selingerlnpage 42 "5.3 Combinatory algebras") ;; (find-selingerlnpage 43 "5.4 The failure of soundness for combinatory algebras") ;; (find-selingerlnpage 45 "5.5 Lambda algebras") ;; (find-selingerlnpage 49 "5.6 Extensional combinatory algebras") ;; (find-selingerlnpage 51 "6 Simply-typed lambda calculus, propositional logic, and the Curry-Howard isomorphism") ;; (find-selingerlnpage 51 "6.1 Simple types and simply-typed terms") ;; (find-selingerlnpage 52 "typing judgment") ;; (find-selingerlntext 52 "typing judgment") ;; (find-selingerlnpage 54 "6.2 Connections to propositional logic") ;; (find-selingerlnpage 56 "6.3 Propositional intuitionistic logic") ;; (find-selingerlnpage 58 "6.4 An alternative presentation of natural deduction") ;; (find-selingerlnpage 60 "6.5 The Curry-Howard Isomorphism") ;; (find-selingerlnpage 62 "6.6 Reductions in the simply-typed lambda calculus") ;; (find-selingerlnpage 63 "6.7 A word on Church-Rosser") ;; (find-selingerlnpage 64 "6.8 Reduction as proof simplification") ;; (find-selingerlnpage 65 "6.9 Getting mileage out of the Curry-Howard isomorphism") ;; (find-selingerlnpage 66 "6.10 Disjunction and sum types") ;; (find-selingerlnpage 68 "6.11 Classical logic vs. intuitionistic logic") ;; (find-selingerlnpage 70 "6.12 Classical logic and the Curry-Howard isomorphism") ;; (find-selingerlnpage 71 "7 Weak and strong normalization") ;; (find-selingerlnpage 71 "7.1 Definitions") ;; (find-selingerlnpage 72 "7.2 Weak and strong normalization in typed lambda calculus") ;; (find-selingerlnpage 73 "8 Polymorphism") ;; (find-selingerlnpage 73 "8.1 Syntax of System F") ;; (find-selingerlnpage 74 "8.2 Reduction rules") ;; (find-selingerlnpage 75 "8.3 Examples") ;; (find-selingerlnpage 75 "8.3.1 Booleans") ;; (find-selingerlnpage 76 "8.3.2 Natural numbers") ;; (find-selingerlnpage 77 "8.3.3 Pairs") ;; (find-selingerlnpage 77 "8.4 Church-Rosser property and strong normalization") ;; (find-selingerlnpage 78 "8.5 The Curry-Howard isomorphism") ;; (find-selingerlnpage 79 "8.6 Supplying the missing logical connectives") ;; (find-selingerlnpage 80 "8.7 Normal forms and long normal forms") ;; (find-selingerlnpage 82 "8.8 The structure of closed normal forms") ;; (find-selingerlnpage 84 "8.9 Application: representation of arbitrary data in System F") ;; (find-selingerlnpage 86 "9 Type inference") ;; (find-selingerlnpage 87 "9.1 Principal types") ;; (find-selingerlnpage 87 "9.2 Type templates and type substitutions") ;; (find-selingerlnpage 89 "9.3 Unifiers") ;; (find-selingerlnpage 90 "9.4 The unification algorithm") ;; (find-selingerlnpage 92 "9.5 The type inference algorithm") ;; (find-selingerlnpage 93 "10 Denotational semantics") ;; (find-selingerlnpage 94 "10.1 Set-theoretic interpretation") ;; (find-selingerlnpage 96 "10.2 Soundness") ;; (find-selingerlnpage 98 "10.3 Completeness") ;; (find-selingerlnpage 98 "11 The language PCF") ;; (find-selingerlnpage 99 "11.1 Syntax and typing rules") ;; (find-selingerlnpage 100 "11.2 Axiomatic equivalence") ;; (find-selingerlnpage 101 "11.3 Operational semantics") ;; (find-selingerlnpage 103 "11.4 Big-step semantics") ;; (find-selingerlnpage 105 "11.5 Operational equivalence") ;; (find-selingerlnpage 106 "11.6 Operational approximation") ;; (find-selingerlnpage 106 "11.7 Discussion of operational equivalence") ;; (find-selingerlnpage 107 "11.8 Operational equivalence and parallel or") ;; (find-selingerlnpage 109 "12 Complete partial orders") ;; (find-selingerlnpage 109 "12.1 Why are sets not enough, in general?") ;; (find-selingerlnpage 109 "12.2 Complete partial orders") ;; (find-selingerlnpage 111 "12.3 Properties of limits") ;; (find-selingerlnpage 111 "12.4 Continuous functions") ;; (find-selingerlnpage 112 "12.5 Pointed cpo's and strict functions") ;; (find-selingerlnpage 112 "12.6 Products and function spaces") ;; (find-selingerlnpage 114 "12.7 The interpretation of the simply-typed lambda calculus in complete partial orders") ;; (find-selingerlnpage 114 "12.8 Cpo's and fixed points") ;; (find-selingerlnpage 115 "12.9 Example: Streams") ;; (find-selingerlnpage 116 "13 Denotational semantics of PCF") ;; (find-selingerlnpage 116 "13.1 Soundness and adequacy") ;; (find-selingerlnpage 118 "13.2 Full abstraction") ;; (find-selingerlnpage 119 "14 Acknowledgements") ;; (find-selingerlnpage 120 "15 Bibliography") ;; https://www.mathstat.dal.ca/~selinger/papers.html#lh ;; https://www.mathstat.dal.ca/~selinger/papers/lh.pdf ;; "LH has nonempty products" (code-pdf-page "selingerlh" "$S/https/www.mathstat.dal.ca/~selinger/papers/lh.pdf") (code-pdf-text "selingerlh" "$S/https/www.mathstat.dal.ca/~selinger/papers/lh.pdf") ;; (find-selingerlhpage) ;; (find-selingerlhtext) ;; «selinger-surveygl» (to ".selinger-surveygl") ;; (find-books "__cats/__cats.el" "selinger-surveygl") ;; (find-books "__cats/__cats.el" "coecke-newstrup") ;; "A survey of graphical languages for monoidal categories" (2009) ;; Also here: https://arxiv.org/pdf/0908.3347.pdf ;; https://www.mscs.dal.ca/~selinger/papers/graphical.pdf (code-pdf-page "selingersurveygl" "$S/https/www.mscs.dal.ca/~selinger/papers/graphical.pdf") (code-pdf-text "selingersurveygl" "$S/https/www.mscs.dal.ca/~selinger/papers/graphical.pdf") ;; (find-selingersurveyglpage) ;; (find-selingersurveygltext) ;; ;; "A Categorical Model for a Quantum Circuit Description Language (Extended Abstract)" ;; https://arxiv.org/abs/1706.02630 ;; https://arxiv.org/pdf/1706.02630.pdf (code-pdf-page "selingerquipper" "$S/https/arxiv.org/pdf/1706.02630.pdf") (code-pdf-text "selingerquipper" "$S/https/arxiv.org/pdf/1706.02630.pdf") ;; (find-selingerquipperpage) ;; (find-selingerquippertext) ;; «shulman» (to ".shulman") ;; (find-books "__cats/__cats.el" "shulman") ;; https://home.sandiego.edu/~shulman/ ;; https://home.sandiego.edu/~shulman/hottminicourse2012/ ;; https://home.sandiego.edu/~shulman/hottminicourse2012/01typetheory-handout1up.pdf ;; https://home.sandiego.edu/~shulman/hottminicourse2012/02hott-handout1up.pdf ;; https://home.sandiego.edu/~shulman/hottminicourse2012/03models-handout1up.pdf ;; https://home.sandiego.edu/~shulman/hottminicourse2012/04induction-handout1up.pdf (code-pdf-page "shulmanhott20121" "$S/https/home.sandiego.edu/~shulman/hottminicourse2012/01typetheory-handout1up.pdf") (code-pdf-text "shulmanhott20121" "$S/https/home.sandiego.edu/~shulman/hottminicourse2012/01typetheory-handout1up.pdf") ;; (find-shulmanhott20121page) ;; (find-shulmanhott20121text) ;; ;; https://arxiv.org/abs/0810.1279 Set Theory for Category Theory (2008) ;; https://arxiv.org/pdf/0810.1279.pdf (code-pdf-page "shulmanstforct" "$S/https/arxiv.org/pdf/0810.1279.pdf") (code-pdf-text "shulmanstforct" "$S/https/arxiv.org/pdf/0810.1279.pdf") ;; (find-shulmanstforctpage) ;; (find-shulmanstforcttext) ;; ;; «shulman-catlog» (to ".shulman-catlog") ;; "Categorical logic from a categorical point of view" (2016) ;; https://mikeshulman.github.io/catlog/catlog.pdf ;; https://github.com/mikeshulman/catlog (code-pdf-page "shulmancatlog" "$S/https/mikeshulman.github.io/catlog/catlog.pdf") (code-pdf-text "shulmancatlog" "$S/https/mikeshulman.github.io/catlog/catlog.pdf") ;; (find-shulmancatlogpage) ;; (find-shulmancatlogtext) ;; (find-shulmancatlogpage (+ 3 48) "sequent calculus and natural\ndeduction make different choices") ;; (find-shulmancatlogtext (+ 3 48) "sequent calculus and natural\ndeduction make different choices") ;; «shulman-starautenv» (to ".shulman-starautenv") ;; (find-books "__cats/__cats.el" "shulman-starautenv") ;; Michael Shulman: "*-Autonomous Envelopes" ;; https://arxiv.org/abs/2004.08487 ;; https://arxiv.org/pdf/2004.08487.pdf ;; https://johncarlosbaez.wordpress.com/2020/04/21/star-autonomous-envelopes/ ;; http://home.sandiego.edu/~shulman/papers/clsaut-act-ucr.pdf slides 2020apr22 (code-pdf-page "shulmanstarautenv" "$S/https/arxiv.org/pdf/2004.08487.pdf") (code-pdf-text "shulmanstarautenv" "$S/https/arxiv.org/pdf/2004.08487.pdf") ;; (find-shulmanstarautenvpage) ;; (find-shulmanstarautenvtext) ;; Avoiding large cardinals in category theory ;; http://home.sandiego.edu/~shulman/papers/wisconsin-lgcard.pdf ;; «shulman-2chud» (to ".shulman-2chud") ;; "The 2-Chu-Dialectica Construction and the Polycategory of Multivariable Adjunctions" ;; https://arxiv.org/abs/1806.06082 ;; https://arxiv.org/pdf/1806.06082.pdf (code-pdf-page "shulman2chud" "$S/https/arxiv.org/pdf/1806.06082.pdf") (code-pdf-text "shulman2chud" "$S/https/arxiv.org/pdf/1806.06082.pdf") ;; (find-shulman2chudpage) ;; (find-shulman2chudtext) ;; ;; Also here: ;; http://tac.mta.ca/tac/volumes/35/4/35-04abs.html ;; http://www.tac.mta.ca/tac/volumes/35/4/35-04.pdf ;; ;; See also: ;; https://golem.ph.utexas.edu/category/2020/04/model_categories_as_a_chu_cons.html ;; ;; «shulman-brouwer» (to ".shulman-brouwer") ;; Shulman: "Brouwer's Fixed-Point Theorem in Real-Cohesive Homotopy Type Theory" ;; https://arxiv.org/abs/1509.07584 ;; https://arxiv.org/pdf/1509.07584.pdf (code-pdf-page "brorcohott" "$S/https/arxiv.org/pdf/1509.07584.pdf") (code-pdf-text "brorcohott" "$S/https/arxiv.org/pdf/1509.07584.pdf") ;; (find-brorcohottpage) ;; (find-brorcohotttext) ;; "Unbounded quantifiers and strong axioms in topos theory" (slides, 2009): ;; http://home.sandiego.edu/~shulman/papers/uqsatalk.pdf ;; «shulman-linear» (to ".shulman-linear") ;; "Linear logic for constructive mathematics" (slides, 2019): ;; http://home.sandiego.edu/~shulman/papers/lcm-bloomington-talk.pdf ;; ;; https://golem.ph.utexas.edu/category/2018/05/linear_logic_for_constructive.html ;; ;; "Linear logic for constructive mathematics" (slides): ;; https://arxiv.org/abs/1805.07518 ;; https://arxiv.org/pdf/1805.07518.pdf (code-pdf-page "shulmanlinear" "$S/https/arxiv.org/pdf/1805.07518.pdf") (code-pdf-text "shulmanlinear" "$S/https/arxiv.org/pdf/1805.07518.pdf") ;; (find-shulmanlinearpage) ;; (find-shulmanlineartext) ;; «shulman-lnl» (to ".shulman-lnl") ;; (find-books "__cats/__cats.el" "shulman-lnl") ;; Michael Shulman: "LNL polycategories and doctrines of linear logic" ;; https://arxiv.org/abs/2106.15042 ;; https://arxiv.org/pdf/2106.15042.pdf (code-pdf-page "shulmanlnl" "$S/https/arxiv.org/pdf/2106.15042.pdf") (code-pdf-text "shulmanlnl" "$S/https/arxiv.org/pdf/2106.15042.pdf") ;; (find-shulmanlnlpage) ;; (find-shulmanlnltext) ;; «shulman-stacksem» (to ".shulman-stacksem") ;; Shulman: "Stack Semantics and the Comparison of Material and Structural Set Theories" (2010) ;; https://arxiv.org/abs/1004.3802 ;; https://arxiv.org/pdf/1004.3802.pdf (code-pdf-page "shulmanstacksem" "$S/https/arxiv.org/pdf/1004.3802.pdf") (code-pdf-text "shulmanstacksem" "$S/https/arxiv.org/pdf/1004.3802.pdf") ;; (find-shulmanstacksempage) ;; (find-shulmanstacksemtext) ;; Michael Shulman: "Homotopy Type Theory: A synthetic approach to higher equalities" ;; https://arxiv.org/pdf/1601.05035.pdf ;; «simmons» (to ".simmons") ;; (find-books "__cats/__cats.el" "simmons") (code-pdf-page "simmonsi" "~/books/__cats/simmons__an_introduction_to_category_theory.pdf") (code-pdf-text "simmonsi" "~/books/__cats/simmons__an_introduction_to_category_theory.pdf" 12) ;; (find-simmonsipage) ;; (find-simmonsitext "") ;; (find-simmonsipage (+ 12 1) "1 Categories") ;; (find-simmonsipage (+ 12 1) "1.1 Categories defined") ;; (find-simmonsipage (+ 12 8) "1.2 Categories of structured sets") ;; (find-simmonsipage (+ 12 16) "1.3 An arrow need not be a function") ;; (find-simmonsipage (+ 12 27) "1.4 More complicated categories") ;; (find-simmonsipage (+ 12 31) "1.5 Two simple categories and a bonus") ;; (find-simmonsipage (+ 12 34) "2 Basic gadgetry") ;; (find-simmonsipage (+ 12 34) "2.1 Diagram chasing") ;; (find-simmonsipage (+ 12 37) "2.2 Monics and epics") ;; (find-simmonsipage (+ 12 43) "2.3 Simple limits and colimits") ;; (find-simmonsipage (+ 12 45) "2.4 Initial and final objects") ;; (find-simmonsipage (+ 12 47) "2.5 Products and coproducts") ;; (find-simmonsipage (+ 12 56) "2.6 Equalizers and coequalizers") ;; (find-simmonsipage (+ 12 64) "2.7 Pullbacks and pushouts") ;; (find-simmonsipage (+ 12 71) "2.8 Using the opposite category") ;; (find-simmonsipage (+ 12 72) "3 Functors and natural transformations") ;; (find-simmonsipage (+ 12 73) "3.1 Functors defined") ;; (find-simmonsipage (+ 12 76) "3.2 Some simple functors") ;; (find-simmonsipage (+ 12 79) "3.3 Some less simple functors") ;; (find-simmonsipage (+ 12 90) "3.4 Natural transformations defined") ;; (find-simmonsipage (+ 12 93) "3.5 Examples of natural transformations") ;; (find-simmonsipage (+ 12 108) "4 Limits and colimits in general") ;; (find-simmonsipage (+ 12 109) "4.1 Template and diagram - a first pass") ;; (find-simmonsipage (+ 12 114) "4.2 Functor categories") ;; (find-simmonsipage (+ 12 118) "4.3 Problem and solution") ;; (find-simmonsipage (+ 12 120) "4.4 Universal solution") ;; (find-simmonsipage (+ 12 124) "4.5 A geometric limit and colimit") ;; (find-simmonsipage (+ 12 130) "4.6 How to calculate certain limits") ;; (find-simmonsipage (+ 12 143) "4.7 Confluent colimits in Set") ;; (find-simmonsipage (+ 12 148) "5 Adjunctions") ;; (find-simmonsipage (+ 12 148) "5.1 Adjunctions defined") ;; (find-simmonsipage (+ 12 153) "5.2 Adjunctions illustrated") ;; (find-simmonsipage (+ 12 164) "5.3 Adjunctions uncoupled") ;; (find-simmonsipage (+ 12 170) "5.4 The unit and the counit") ;; (find-simmonsipage (+ 12 174) "5.5 Free and cofree constructions") ;; (find-simmonsipage (+ 12 186) "5.6 Contravariant adjunctions") ;; (find-simmonsipage (+ 12 190) "6 Posets and monoid sets") ;; (find-simmonsipage (+ 12 190) "6.1 Posets and complete posets") ;; (find-simmonsipage (+ 12 191) "6.2 Two categories of complete posets") ;; (find-simmonsipage (+ 12 193) "6.3 Sections of a poset") ;; (find-simmonsipage (+ 12 195) "6.4 The two completions") ;; (find-simmonsipage (+ 12 197) "6.5 Three endo-functors on Pos") ;; (find-simmonsipage (+ 12 199) "6.6 Long strings of adjunctions") ;; (find-simmonsipage (+ 12 202) "6.7 Two adjunctions for R-sets") ;; (find-simmonsipage (+ 12 205) "6.8 The upper left adjoint") ;; (find-simmonsipage (+ 12 209) "6.9 The upper adjunction") ;; (find-simmonsipage (+ 12 212) "6.10 The lower right adjoint") ;; (find-simmonsipage (+ 12 218) "6.11 The lower adjunction") ;; (find-simmonsipage (+ 12 221) "6.12 Some final projects") ;; (find-simmonsipage (+ 12 223) "Bibliography") ;; (find-simmonsipage (+ 12 224) "Index") ;; «simmons-omegasets» (to ".simmons-omegasets") ;; (find-books "__cats/__cats.el" "simmons-omegasets") ;; (find-angg ".emacs.papers" "simmons") ;; http://www.cs.man.ac.uk/~hsimmons/DOCUMENTS/papersandnotes.html ;; http://www.cs.man.ac.uk/~hsimmons/DOCUMENTS/PAPERSandNOTES/Omegasets.pdf ;; https://www.researchgate.net/scientific-contributions/72394402_Harold_Simmons ;; http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.192.9322&rep=rep1&type=pdf ;; http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.192.9322 (code-pdf-page "omegasets" "$S/http/www.cs.man.ac.uk/~hsimmons/DOCUMENTS/PAPERSandNOTES/Omegasets.pdf") (code-pdf-text "omegasets" "$S/http/www.cs.man.ac.uk/~hsimmons/DOCUMENTS/PAPERSandNOTES/Omegasets.pdf") ;; (find-omegasetspage 1) ;; (find-omegasetstext) ;; (find-omegasetspage 1 "Contents") ;; (find-omegasetstext 1 "Contents") ;; (find-omegasetspage 1 "1 Introduction") ;; (find-omegasetspage 4 "2 Presheaves and sheaves") ;; (find-omegasetspage 8 "Exercises") ;; (find-omegasetspage 9 "3 Prestacks and presheaves") ;; (find-omegasetspage 12 "Exercises") ;; (find-omegasetspage 13 "4 Separated and collated prestacks") ;; (find-omegasetspage 15 "Exercises") ;; (find-omegasetspage 16 "5 Completeness properties of a prestack") ;; (find-omegasetspage 19 "Exercises - To be done") ;; (find-omegasetspage 19 "6 Omega-sets") ;; (find-omegasetspage 22 "Exercises") ;; (find-omegasetspage 23 "7 Omega-morphisms") ;; (find-omegasetspage 28 "Exercises") ;; (find-omegasetspage 29 "8 Separated Omega-sets") ;; (find-omegasetspage 37 "Exercises") ;; (find-omegasetspage 37 "9 Replete Ome-sets") ;; (find-omegasetspage 42 "10 Sheafification") ;; (find-omegasetspage 49 "Exercises") ;; (find-omegasetspage 49 "References") ;; (find-omegasetspage 51 "Some solutions") ;; «smith» (to ".smith") ;; (find-books "__cats/__cats.el" "smith") ;; (find-books "__logic/__logic.el" "smith") ;; Peter Smith: "Category Theory: A Gentle Introduction" ;; http://www.logicmatters.net/categories/ (lots of links) ;; Deleted: ;; http://www.logicmatters.net/resources/pdfs/GentleIntro.pdf (code-pdf-page "smithctgi" "$S/http/www.logicmatters.net/resources/pdfs/GentleIntro.pdf") (code-pdf-text "smithctgi" "$S/http/www.logicmatters.net/resources/pdfs/GentleIntro.pdf") ;; (find-smithctgipage) ;; (find-smithctgitext) ;; (find-smithctgipage (+ 10 49) "6.3 Elements and generalized elements") ;; (find-smithctgitext (+ 10 49) "6.3 Elements and generalized elements") ;; «sobocinski» (to ".sobocinski") ;; (find-books "__cats/__cats.el" "sobocinski") ;; https://www.ioc.ee/~pawel/ ;; https://www.southampton.ac.uk/~ps1a06/ ;; https://graphicallinearalgebra.net/ ;; https://graphicallinearalgebra.net/2015/04/24/methodology-handwaving-and-diagrams/ ;; https://graphicallinearalgebra.net/2015/04/29/dumbing-down-magic-lego-and-the-rules-of-the-game-part-1/ ;; https://graphicallinearalgebra.net/2015/05/16/natural-numbers-diagrammatically/ ;; https://graphicallinearalgebra.net/2015/05/23/from-diagrams-to-matrices/ ;; https://graphicallinearalgebra.net/2015/05/06/crema-di-mascarpone-rules-of-the-game-part-2-and-diagrammatic-reasoning/ ;; https://graphicallinearalgebra.net/2015/10/01/22-the-frobenius-equation/ ;; "Diagrammatic Algebra: From Linear to Concurrent Systems": ;; https://www.ioc.ee/~pawel/papers/popl19.pdf (code-pdf-page "sobodalcs" "$S/https/www.ioc.ee/~pawel/papers/popl19.pdf") (code-pdf-text "sobodalcs" "$S/https/www.ioc.ee/~pawel/papers/popl19.pdf") ;; (find-sobodalcspage) ;; (find-sobodalcstext) ;; «sobocinski-peirce» (to ".sobocinski-peirce") ;; (find-books "__cats/__cats.el" "sobocinski-peirce") ;; Haydon/Sobocinski: "Compositional Diagrammatic First-Order Logic?" (2020) ;; https://www.ioc.ee/~pawel/papers/peirce.pdf (code-pdf-page "haydonsobpierce" "$S/https/www.ioc.ee/~pawel/papers/peirce.pdf") (code-pdf-text "haydonsobpierce" "$S/https/www.ioc.ee/~pawel/papers/peirce.pdf") ;; (find-haydonsobpiercepage) ;; (find-haydonsobpiercetext) ;; «sobocinski-ihopfa» (to ".sobocinski-ihopfa") ;; (find-books "__cats/__cats.el" "sobocinski-ihopfa") ;; Bonchi, Sobocinski, Zanasi: "Interacting Hopf Algebras" ;; https://arxiv.org/abs/1403.7048 ;; https://arxiv.org/pdf/1403.7048.pdf (code-pdf-page "ihopfa" "$S/https/arxiv.org/pdf/1403.7048.pdf") (code-pdf-text "ihopfa" "$S/https/arxiv.org/pdf/1403.7048.pdf") ;; (find-ihopfapage) ;; (find-ihopfatext) ;; (find-psne-arxiv-links "https://arxiv.org/pdf/1403.7048.pdf" "ihopfa") ;; (code-c-d "ihopfa" "~/usrc/arxiv-ihopfa/") ;; (find-ihopfafile "") ;; (find-ihopfafile "main.tex") ;; (find-ihopfafile "source/Background.tex" "which we depict as a circuit") ;; (find-ihopfafile "macros.tex" "\\newcommand\\Wmult") ;; «sommaruga» (to ".sommaruga") ;; (find-books "__cats/__cats.el" "sommaruga") (code-pdf-page "histphictt" "~/books/__cats/sommaruga__history_and_philosophy_of_constructive_type_theory.pdf") (code-pdf-text "histphictt" "~/books/__cats/sommaruga__history_and_philosophy_of_constructive_type_theory.pdf" 1) ;; (find-histphicttpage) ;; (find-histphicttpage 5 "Contents") ;; (find-histphictttext 5 "Contents") ;; (find-histphicttpage 7 "PREFACE") ;; (find-histphictttext 7 "PREFACE") ;; (find-histphicttpage (+ 10 1) "1. THE PRESENT VERSION OF CONSTRUCTIVE TYPE THEORY (1995)") ;; (find-histphicttpage (+ 10 9) "i Types and Objects (Non-Dependent and Non-Function)") ;; (find-histphicttpage (+ 10 19) "ii Dependent Types and Dependent Objects (or Families of Types and Fcts. in the Oldfashioned Sense)") ;; (find-histphicttpage (+ 10 24) "iii Function Types and Function Objects (or Function Types and Fcts. in the Modem Sense)") ;; (find-histphicttpage (+ 10 33) "iv Digression. Explicit Substitutions") ;; (find-histphicttpage (+ 10 45) "v Digression. Explicit (Abbreviatory) and Partial (Conditional) Definitions in Constructive Type Theory") ;; (find-histphicttpage (+ 10 49) "vi Sets and Elements") ;; (find-histphicttpage (+ 10 59) "vii Propositions and Proof-Objects") ;; (find-histphicttpage (+ 10 67) "viii Digression. Syntax and Semantics/the Theory of Indirect Reference in Constructive Type Theory") ;; (find-histphicttpage (+ 10 74) "ix Constructive Set Theory: Ground Sets, Dependent Sets and Sets of Different Sizes") ;; (find-histphicttpage (+ 10 125) "x Constructive Logic") ;; (find-histphicttpage (+ 10 158) "xi The Curry-Howard Isomorphism or the Propositions-as-Sets Interpretation") ;; (find-histphicttpage (+ 10 161) "xii An Extension of the Curry-Howard Isomorphism to Sequents or the Sequents-as-Types Interpretation") ;; (find-histphicttpage (+ 10 167) "2. METATHEORETICAL CONSIDERATIONS") ;; (find-histphicttpage (+ 10 167) "i The Identity Issue: The Many Faces of Identity in Constructive Type Theory") ;; (find-histphicttpage (+ 10 177) "ii The Judgement Issue") ;; (find-histphicttpage (+ 10 203) "iii Traditional Metamathematical Issues: Consistency, Completeness, Decidability, in a New Framework") ;; (find-histphicttpage (+ 10 211) "iv Constructive Type Theory and the Traditional Points of View on the Foundations of Mathematics") ;; (find-histphicttpage (+ 9 219) "3. HISTORY OF CONSTRUCTIVE TYPE THEORY (1970-95)") ;; (find-histphicttpage (+ 9 219) "i Forms of Symbolic Expressions/Sentences/Judgements") ;; (find-histphicttpage (+ 9 222) "ii The Notion of Type and the Splitting of Type (Set/Type)") ;; (find-histphicttpage (+ 9 224) "iii From Metamathematical Semantics to Direct Semantics and Other Semantical Matters") ;; (find-histphicttpage (+ 9 249) "iv Constructive Type Theory as a Mathematical Language to be Used") ;; (find-histphicttpage (+ 9 271) "v Kinds of Equality/ldentity") ;; (find-histphicttpage (+ 9 283) "vi Universes") ;; (find-histphicttpage (+ 9 291) "vii Variations on the Basic Stock Rules Pi, Sigma, +, N n , N") ;; (find-histphicttpage (+ 9 299) "viii Monomorphism/Polymorphism and Decidability/Undecidability of Type Checking") ;; (find-histphicttpage (+ 9 300) "ix Appendix. The Battle with the Direct Semantical Tum: From Type Theory to Logical Theory and Back") ;; (find-histphicttpage (+ 9 311) "4. PHILOSOPHICAL AND TECHNICAL PREHISTORY OF CONSTRUCTIVE TYPE THEORY (1880--1970)") ;; (find-histphicttpage (+ 9 311) "i Philosophical Sources of Constructive Type Theory: Two Approaches to Logic") ;; (find-histphicttpage (+ 9 318) "ii Technical Sources of Constructive Type Theory") ;; (find-histphicttpage (+ 9 347) "CONCLUSION") ;; (find-histphicttpage (+ 9 349) "REFERENCES") ;; (find-histphicttpage (+ 10 1) "Index") ;; (find-histphictttext (+ 10 1) "Index") ;; (find-histphicttpage (+ 1 189) "Index") ;; (find-histphictttext "") ;; https://plato.stanford.edu/entries/type-theory-intuitionistic/ ;; https://plato.stanford.edu/entries/set-theory-constructive/ ;; «soto-andrade» (to ".soto-andrade") ;; (find-books "__cats/__cats.el" "soto-andrade") ;; (find-books "__phil/__phil.el" "liljedahl") ;; https://categoricalouroboros.wordpress.com/ ;; https://categoricalouroboros.wordpress.com/2020/07/01/53/ ;; ;; https://www.researchgate.net/publication/225997258_Self-reference_and_fixed_points_A_discussion_and_an_extension_of_Lawvere's_Theorem (code-pdf-page "sotoandradefp" "~/books/__cats/soto-andrade__self-reference-and-fixed-points.pdf") (code-pdf-text "sotoandradefp" "~/books/__cats/soto-andrade__self-reference-and-fixed-points.pdf" 1) ;; (find-sotoandradefppage) ;; (find-sotoandradefppage 1 "Contents") ;; (find-sotoandradefppage (+ 1 189) "Index") ;; (find-sotoandradefptext "") ;; ;; Letelier/Soto-Andrade/Valdes-Zorrilla: ;; "A Diagrammatic and Categorical Approach to The Ouroboros Equation" (2020) (code-pdf-page "sotoandradeact2020" "~/books/__cats/sotoandrade__act2020_extended_abstract.pdf") (code-pdf-text "sotoandradeact2020" "~/books/__cats/sotoandrade__act2020_extended_abstract.pdf" 1) ;; (find-sotoandradeact2020page) ;; (find-sotoandradeact2020page 1 "Contents") ;; (find-sotoandradeact2020page (+ 1 189) "Index") ;; (find-sotoandradeact2020text "") ;; ;; Soto-Andrade/Letelier: "A Categorical Approach to The Ouroboros Equation" (code-pdf-page "sotoandradeact2019" "~/books/__cats/soto-andrade__act_2019_paper_51bis.pdf") (code-pdf-text "sotoandradeact2019" "~/books/__cats/soto-andrade__act_2019_paper_51bis.pdf" 1) ;; (find-sotoandradeact2019page) ;; (find-sotoandradeact2019page 1 "Contents") ;; (find-sotoandradeact2019page (+ 1 189) "Index") ;; (find-sotoandradeact2019text "") ;; ;; Soto-Andrade/Jaramillo/Gutierrez/Letelier: ;; "Ouroboros avatars: A mathematical exploration of Self-reference and Metabolic Closure" (code-pdf-page "sotoandradeour" "~/books/__cats/soto-andrade__ouroboros.pdf") (code-pdf-text "sotoandradeour" "~/books/__cats/soto-andrade__ouroboros.pdf" 1) ;; (find-sotoandradeourpage) ;; (find-sotoandradeourpage 1 "Contents") ;; (find-sotoandradeourpage (+ 1 189) "Index") ;; (find-sotoandradeourtext "") ;; «spivak» (to ".spivak") ;; (find-books "__cats/__cats.el" "spivak") ;; http://math.mit.edu/~dspivak/ ;; http://math.mit.edu/~dspivak/teaching/sp13/ ;; http://math.mit.edu/~dspivak/teaching/sp13/CT4S.pdf ;; http://math.mit.edu/~dspivak/teaching/sp13/CT4S--static.pdf ;; https://topos.site/blog/2021/07/jump-monads-from-conjugation-to-dependent-types/ ;; (find-fline "$S/http/math.mit.edu/~dspivak/teaching/sp13/") (code-xpdf "spivakctd" "$S/http/math.mit.edu/~dspivak/teaching/sp13/CT4S.pdf") (code-pdf-text "spivakctd" "$S/http/math.mit.edu/~dspivak/teaching/sp13/CT4S.pdf") (code-xpdf "spivakcts" "$S/http/math.mit.edu/~dspivak/teaching/sp13/CT4S--static.pdf") (code-pdf-text "spivakcts" "$S/http/math.mit.edu/~dspivak/teaching/sp13/CT4S--static.pdf") ;; (find-spivakctdpage) ;; (find-spivakctdtext) ;; (find-spivakctspage) ;; (find-spivakctstext) ;; «spivak-dmig» (to ".spivak-dmig") ;; David I. Spivak: "Functorial Data Migration" ;; https://arxiv.org/abs/1009.1166 ;; https://arxiv.org/pdf/1009.1166.pdf (code-pdf-page "spivakdmig" "$S/https/arxiv.org/pdf/1009.1166.pdf") (code-pdf-text "spivakdmig" "$S/https/arxiv.org/pdf/1009.1166.pdf") ;; (find-spivakdmigpage) ;; (find-spivakdmigtext) ;; Poly: ;; https://news.ycombinator.com/item?id=37672852 Applied Category Theory Course (ucr.edu) (code-pdf "spivakct" "~/books/__cats/spivak__category_theory_for_the_sciences.pdf") (code-pdftotext "spivakct" "~/books/__cats/spivak__category_theory_for_the_sciences.pdf" 1) ;; (find-spivakctpage) ;; (find-spivakctpage 6 "Contents") ;; (find-spivakctpage (+ 9 1) "1. Introduction") ;; (find-spivakctpage (+ 9 479) "Index") ;; (find-spivakcttext "") ;; ;; http://www.dspivak.net/talks/Topos20210204.pdf ;; http://www.youtube.com/watch?v=Cp5_o2lDqj0 David Spivak: "Poly: a category of remarkable abundance" (code-pdf-page "spivakpolyrema" "$S/http/www.dspivak.net/talks/Topos20210204.pdf") (code-pdf-text "spivakpolyrema" "$S/http/www.dspivak.net/talks/Topos20210204.pdf") ;; (find-spivakpolyremapage) ;; (find-spivakpolyrematext) ;; «stay» (to ".stay") ;; (find-books "__cats/__cats.el" "stay") ;; Stay/Meredith: "Logic as a Distributive Law" ;; https://www.youtube.com/watch?v=l3KjoIfquMw 15: LADL, Lawvere Theory of a Monoid, DoCC 10 ;; https://arxiv.org/abs/1610.02247 ;; https://arxiv.org/pdf/1610.02247.pdf (code-pdf-page "staymeredithladl" "$S/https/arxiv.org/pdf/1610.02247.pdf") (code-pdf-text "staymeredithladl" "$S/https/arxiv.org/pdf/1610.02247.pdf") ;; (find-staymeredithladlpage) ;; (find-staymeredithladltext) ;; «sterling» (to ".sterling") ;; (find-books "__cats/__cats.el" "sterling") ;; http://www.jonmsterling.com/ ;; http://www.jonmsterling.com/pdfs/connectives.pdf ;; http://www.jonmsterling.com/pdfs/hottest-slides.pdf ;; http://www.jonmsterling.com/pdfs/ok-type-theory.pdf (code-pdf-page "sterlingok" "$S/http/www.jonmsterling.com/pdfs/ok-type-theory.pdf") (code-pdf-text "sterlingok" "$S/http/www.jonmsterling.com/pdfs/ok-type-theory.pdf") ;; (find-sterlingokpage) ;; (find-sterlingoktext) ;; «street» (to ".street") ;; (find-books "__cats/__cats.el" "street") ;; http://web.science.mq.edu.au/~street/Publications.htm ;; https://ncatlab.org/nlab/show/Grothendieck+topos#Streetcharacterization (code-pdf-page "streetnot" "~/books/__cats/street__notions_of_topos.pdf") (code-pdf-text "streetnot" "~/books/__cats/street__notions_of_topos.pdf" -198) ;; (find-streetnotpage) ;; (find-streetnotpage 1 "Contents") ;; (find-streetnotpage (+ -198 199) "Index") ;; (find-streetnottext "") ;; https://golem.ph.utexas.edu/category/2014/01/formal_theory_of_monads_follow.html ;; https://www.sciencedirect.com/journal/journal-of-pure-and-applied-algebra/vol/2/issue/2 (code-pdf-page "streetftm" "~/books/__cats/street__the_formal_theory_of_monads.pdf") (code-pdf-text "streetftm" "~/books/__cats/street__the_formal_theory_of_monads.pdf" 1) ;; (find-streetftmpage) ;; (find-streetftmpage 1 "Contents") ;; (find-streetftmpage (+ 1 189) "Index") ;; (find-streetftmtext "") ;; «street-walters» (to ".street-walters") ;; (find-books "__cats/__cats.el" "street-walters") (code-pdf-page "strwyos2" "~/books/__cats/street_walters__yoneda_structures_on_2-categories.pdf") (code-pdf-text "strwyos2" "~/books/__cats/street_walters__yoneda_structures_on_2-categories.pdf" -349) ;; (find-strwyos2page) ;; (find-strwyos2page (+ -349 366) "5. RELATIONS BETWEEN THE CONSTRUCTIONS OF KLEISLI") ;; (find-strwyos2text (+ -349 366) "5. RELATIONS BETWEEN THE CONSTRUCTIONS OF KLEISLI") ;; (find-strwyos2text "") ;; «streicher» (to ".streicher") ;; (find-books "__cats/__cats.el" "streicher") ;; (find-angg ".emacs.papers" "streicher") ;; ;; "Introduction to Category Theory and Categorical Logic" ;; https://www2.mathematik.tu-darmstadt.de/~streicher/CTCL.pdf (code-pdf-page "streicherctcl" "$S/https/www2.mathematik.tu-darmstadt.de/~streicher/CTCL.pdf") (code-pdf-text "streicherctcl" "$S/https/www2.mathematik.tu-darmstadt.de/~streicher/CTCL.pdf") ;; (find-streicherctclpage) ;; (find-streicherctcltext) ;; (find-streicherctclpage 2 "Contents") ;; (find-streicherctclpage (+ 1 86) "13 Logic of Toposes") ;; ;; "Fibred Categories à la Jean Bénabou": ;; https://www2.mathematik.tu-darmstadt.de/~streicher/FIBR/FiBo.pdf ;; (find-fline "$S/https/www2.mathematik.tu-darmstadt.de/~streicher/FIBR/") (code-pdf-page "streicherbenabou" "$S/https/www2.mathematik.tu-darmstadt.de/~streicher/FIBR/FiBo.pdf") (code-pdf-text "streicherbenabou" "$S/https/www2.mathematik.tu-darmstadt.de/~streicher/FIBR/FiBo.pdf") ;; (find-streicherbenaboupage) ;; (find-streicherbenaboutext) ;; ;; Peter Lietz's MsC thesis: "A Fibrational Theory of Geometric Morphisms" (1998) ;; https://www2.mathematik.tu-darmstadt.de/~streicher/FIBR/Lietz_Dipl_1998.ps.gz ;; https://www2.mathematik.tu-darmstadt.de/~streicher/FIBR/Lietz_Dipl_1998.pdf ;; (find-sh "cd $S/https/www2.mathematik.tu-darmstadt.de/~streicher/FIBR/ && zcat Lietz_Dipl_1998.ps.gz | ps2pdf - Lietz_Dipl_1998.pdf") (code-pdf-page "lietzfibr" "$S/https/www2.mathematik.tu-darmstadt.de/~streicher/FIBR/Lietz_Dipl_1998.pdf") (code-pdf-text "lietzfibr" "$S/https/www2.mathematik.tu-darmstadt.de/~streicher/FIBR/Lietz_Dipl_1998.pdf") ;; (find-lietzfibrpage) ;; (find-lietzfibrtext) ;; ;; "How Intensional is Homotopy Type Theory?" ;; https://www2.mathematik.tu-darmstadt.de/~streicher/barc_corr.pdf (code-pdf-page "howintensionalishott" "$S/https/www2.mathematik.tu-darmstadt.de/~streicher/barc_corr.pdf") (code-pdf-text "howintensionalishott" "$S/https/www2.mathematik.tu-darmstadt.de/~streicher/barc_corr.pdf") ;; (find-howintensionalishottpage) ;; (find-howintensionalishotttext) ;; "Semantics of Type Theory Formulated in Terms of Representability" ;; https://www2.mathematik.tu-darmstadt.de/~streicher/FIBR/natmod.pdf (code-pdf-page "streichersttr" "$S/https/www2.mathematik.tu-darmstadt.de/~streicher/FIBR/natmod.pdf") (code-pdf-text "streichersttr" "$S/https/www2.mathematik.tu-darmstadt.de/~streicher/FIBR/natmod.pdf") ;; (find-streichersttrpage) ;; (find-streichersttrtext) ;; «szabo» (to ".szabo") ;; (find-books "__cats/__cats.el" "szabo") (code-pdf-page "szaboap" "~/books/__cats/szabo__algebra_of_proofs.pdf") (code-pdf-text "szaboap" "~/books/__cats/szabo__algebra_of_proofs.pdf" 5) ;; (find-szaboappage) ;; (find-szaboappage (+ 5 1) "Introduction") ;; (find-szaboappage (+ 5 4) "1.1. Categorical preliminaries") ;; (find-szaboaptext (+ 5 4) "1.1. Categorical preliminaries") ;; (find-szaboappage (+ 5 16) "1.2. Logical preliminaries") ;; (find-szaboaptext (+ 5 16) "1.2. Logical preliminaries") ;; (find-szaboappage (+ 5 21) "2" "MONOIDAL CATEGORIES") ;; (find-szaboaptext (+ 5 21) "2" "MONOIDAL CATEGORIES") ;; (find-szaboappage (+ 5 31) "3" "SYMMETRIC MONOIDAL CATEGORIES") ;; (find-szaboaptext (+ 5 31) "3" "SYMMETRIC MONOIDAL CATEGORIES") ;; (find-szaboappage (+ 5 40) "4" "CARTESIAN CATEGORIES") ;; (find-szaboaptext (+ 5 40) "4" "CARTESIAN CATEGORIES") ;; (find-szaboappage (+ 5 54) "5" "BICARTESIAN CATEGORIES") ;; (find-szaboaptext (+ 5 54) "5" "BICARTESIAN CATEGORIES") ;; (find-szaboappage (+ 5 70) "6" "DISTRIBUTIVE BICARTESIAN CATEGORIES") ;; (find-szaboaptext (+ 5 70) "6" "DISTRIBUTIVE BICARTESIAN CATEGORIES") ;; (find-szaboappage (+ 5 92) "7" "MONOIDAL CLOSED CATEGORIES") ;; (find-szaboaptext (+ 5 92) "7" "MONOIDAL CLOSED CATEGORIES") ;; (find-szaboappage (+ 5 107) "8" "SYMMETRIC MONOIDAL CLOSED CATEGORIES") ;; (find-szaboaptext (+ 5 107) "8" "SYMMETRIC MONOIDAL CLOSED CATEGORIES") ;; (find-szaboappage (+ 5 128) "9" "CARTESIAN CLOSED CATEGORIES") ;; (find-szaboaptext (+ 5 128) "9" "CARTESIAN CLOSED CATEGORIES") ;; (find-szaboappage (+ 5 145) "10" "BIC ARTESIAN CLOSED CATEGORIES") ;; (find-szaboaptext (+ 5 145) "10" "BIC ARTESIAN CLOSED CATEGORIES") ;; (find-szaboappage (+ 5 163) "11" "RESIDUATED CATEGORIES") ;; (find-szaboaptext (+ 5 163) "11" "RESIDUATED CATEGORIES") ;; (find-szaboappage (+ 5 178) "12" "MONOIDAL BICLOSED CATEGORIES") ;; (find-szaboaptext (+ 5 178) "12" "MONOIDAL BICLOSED CATEGORIES") ;; (find-szaboappage (+ 5 189) "13" "QUANTIFIER-COMPLETE CATEGORIES") ;; (find-szaboaptext (+ 5 189) "13" "QUANTIFIER-COMPLETE CATEGORIES") ;; (find-szaboappage (+ 5 219) "APPENDIX A") ;; (find-szaboaptext (+ 5 219) "APPENDIX A") ;; (find-szaboappage (+ 5 224) "APPENDIX B") ;; (find-szaboaptext (+ 5 224) "APPENDIX B") ;; (find-szaboappage (+ 5 229) "APPENDIX C") ;; (find-szaboaptext (+ 5 229) "APPENDIX C") ;; (find-szaboappage (+ 5 244) "APPENDIX D") ;; (find-szaboaptext (+ 5 244) "APPENDIX D") ;; (find-szaboappage (+ 5 278) "BIBLIOGRAPHY") ;; (find-szaboaptext (+ 5 278) "BIBLIOGRAPHY") ;; (find-szaboappage (+ 5 285) "INDEX OF SYMBOLS") ;; (find-szaboaptext (+ 5 285) "INDEX OF SYMBOLS") ;; (find-szaboappage (+ 5 291) "INDEX OF SUBJECTS") ;; (find-szaboaptext (+ 5 291) "INDEX OF SUBJECTS") ;; (find-szaboappage (+ 1 189) "Index") ;; (find-szaboaptext "") ;; «tambara» (to ".tambara") ;; (find-books "__cats/__cats.el" "tambara") ;; "Finite categories with pushouts" ;; http://www.tac.mta.ca/tac/volumes/30/30/30-30.pdf ;; (find-fline "$S/http/www.tac.mta.ca/tac/volumes/30/30/") (code-pdf-page "tambarafcwpo" "$S/http/www.tac.mta.ca/tac/volumes/30/30/30-30.pdf") (code-pdf-text "tambarafcwpo" "$S/http/www.tac.mta.ca/tac/volumes/30/30/30-30.pdf") ;; (find-tambarafcwpopage) ;; (find-tambarafcwpotext) ;; «tarlecki» (to ".tarlecki") ;; (find-books "__cats/__cats.el" "tarlecki") ;; ;; «tarlecki-casl» (to ".tarlecki-casl") ;; (find-books "__cats/__cats.el" "tarlecki-casl") ;; https://www.sciencedirect.com/journal/theoretical-computer-science/vol/286/issue/2 ;; https://www.sciencedirect.com/science/article/pii/S0304397501003681 (code-pdf-page "tarleckicasl" "~/books/__cats/tarlecki_et_al__casl_the_common_algebraic_specification_language.pdf") (code-pdf-text "tarleckicasl" "~/books/__cats/tarlecki_et_al__casl_the_common_algebraic_specification_language.pdf" -152) ;; (find-tarleckicaslpage) ;; (find-tarleckicaslpage 1 "Contents") ;; (find-tarleckicaslpage (+ -152 153) "Index") ;; (find-tarleckicasltext "") ;; «taylor» (to ".taylor") ;; (find-books "__cats/__cats.el" "taylor") ;; (find-LATEX "catsem-ab.bib" "bib-Taylor") ;; https://www.paultaylor.eu/~pt/prafm/ (code-pdf-page "taylorpfm" "~/books/__cats/taylor__practical_foundations_of_mathematics.pdf") (code-pdf-text "taylorpfm" "~/books/__cats/taylor__practical_foundations_of_mathematics.pdf" 14) ;; (find-taylorpfmpage) ;; (find-taylorpfmpage 7 "Contents") ;; (find-taylorpfmpage (+ 14 1) "1.") ;; (find-taylorpfmpage (+ 14 8) "Bound variables") ;; (find-taylorpfmpage (+ 14 11) "1.2. Denotation and Description") ;; (find-taylorpfmpage (+ 14 25) "1.4. Direct Reasoning") ;; (find-taylorpfmpage (+ 14 27) "Definition 1.4.2. The Direct logical rules are") ;; (find-taylorpfmpage (+ 14 32) "Definition 1.5.4.: a Context") ;; (find-taylorpfmpage (+ 14 32) "Remark 1.5.5." "quantifier rules") ;; (find-taylorpfmpage (+ 14 37) "referential transparency") ;; (find-taylorpfmpage (+ 14 39) "1.5. Proof Boxes") ;; (find-taylorpfmpage (+ 14 52) "1.8. Classical and Intuitionistic Logic") ;; (find-taylorpfmpage (+ 14 53) "indirect rules") ;; (find-taylorpfmpage (+ 14 56) "Kolmogorov") ;; (find-taylorpfmpage (+ 14 61) "8. (...) proof-box rules for Ex!") ;; (find-taylorpfmpage (+ 14 62) "Prove the following by the box method") ;; (find-taylorpfmpage (+ 14 151) "3.6. Adjunctions") ;; (find-taylorpfmpage (+ 14 161) "3.8. Modalities and Galois Connections") ;; (find-taylorpfmpage (+ 14 169) "3.9. Constructions with Closure Conditions") ;; (find-taylorpfmpage (+ 14 174) "Generalizing from propositions to types") ;; (find-taylorpfmpage (+ 14 209) "co-Kleisli") ;; (find-taylorpfmpage (+ 14 398) "The Kleisli and Eilenberg-Moore Categories") ;; (find-taylorpfmpage (+ 14 399) "Eilenberg-Moore Category") ;; (find-taylorpfmpage (+ 14 553) "Index") ;; (find-taylorpfmpage (+ 14 563) "Index" "Kleisli") ;; (find-taylorpfmtext "") ;; «tennison» (to ".tennison") (code-djvu "tennison" "~/books/__cats/tennison__sheaf_theory.djvu") ;; (find-tennisonpage 1 "Contents") ;; (find-tennisonpage (+ 8 159) "Index") ;; «tenorio» (to ".tenorio") ;; (find-books "__cats/__cats.el" "tenorio") ;; Ana Luiza da Conceição Tenório: "Álgebra Homológica em Topos" (dissertação, 2019) ;; https://teses.usp.br/teses/disponiveis/45/45131/tde-24042019-195658/publico/AlgebraHomologicaEmTopos.pdf (code-pdf-page "tenoriodiss" "$S/https/teses.usp.br/teses/disponiveis/45/45131/tde-24042019-195658/publico/AlgebraHomologicaEmTopos.pdf") (code-pdf-text "tenoriodiss" "$S/https/teses.usp.br/teses/disponiveis/45/45131/tde-24042019-195658/publico/AlgebraHomologicaEmTopos.pdf" 14) ;; (find-tenoriodisspage) ;; (find-tenoriodisstext) ;; (find-tenoriodisspage 9 "Sumário") ;; (find-tenoriodisstext 9 "Sumário") ;; (find-tenoriodisspage (+ 14 1) "1 Categorias Abelianas e Álgebra Homológica") ;; (find-tenoriodisspage (+ 14 1) "1.1 Categorias Abelianas") ;; (find-tenoriodisspage (+ 14 13) "1.2 Funtores Exatos") ;; (find-tenoriodisspage (+ 14 16) "1.3 Homologia e Cohomologia") ;; (find-tenoriodisspage (+ 14 20) "1.4 Funtores Derivados") ;; (find-tenoriodisspage (+ 14 31) "1.5 Funtor Ext") ;; (find-tenoriodisspage (+ 14 34) "1.6 Sequências Espectrais") ;; (find-tenoriodisspage (+ 14 36) "1.7 Complementos sobre Categorias Abelianas") ;; (find-tenoriodisspage (+ 14 43) "2 Teoria de Topos") ;; (find-tenoriodisspage (+ 14 44) "fibrado") ;; (find-tenoriodisspage (+ 14 44) "2.1 Feixes de Conjuntos") ;; (find-tenoriodisspage (+ 14 46) "Definição 2.1.8 Um feixe (geométrico)") ;; (find-tenoriodisstext (+ 14 46) "Definição 2.1.8 Um feixe (geométrico)") ;; (find-tenoriodisspage (+ 14 49) "funtor de feixifi") ;; (find-tenoriodisstext (+ 14 49) "funtor de feixifi") ;; (find-tenoriodisspage (+ 14 50) "2.2 Topologias e Topos de Grothendieck e Feixes") ;; (find-tenoriodisspage (+ 14 53) "Definição 2.2.12") ;; (find-tenoriodisstext (+ 14 53) "Definição 2.2.12") ;; (find-tenoriodisspage (+ 14 56) "Definição 2.2.17") ;; (find-tenoriodisstext (+ 14 56) "Definição 2.2.17") ;; (find-tenoriodisspage (+ 14 56) "Definição 2.2.18") ;; (find-tenoriodisstext (+ 14 56) "Definição 2.2.18") ;; (find-tenoriodisspage (+ 14 61) "2.3 Topos Elementares") ;; (find-tenoriodisspage (+ 14 70) "2.4 Morfismos Geométricos e Categoria Slice") ;; (find-tenoriodisspage (+ 14 79) "2.5 Álgebras de Heyting em um Topos") ;; (find-tenoriodisspage (+ 14 87) "2.6 Aspectos Lógicos da Teoria de Topos") ;; (find-tenoriodisspage (+ 14 95) "3 Álgebra Homológica em Topos") ;; (find-tenoriodisspage (+ 14 95) "3.1 Feixes Algébricos") ;; (find-tenoriodisspage (+ 14 100) "3.2 Cohomologia de Feixes") ;; (find-tenoriodisspage (+ 14 103) "3.3 Cohomologia de Ab(E)") ;; (find-tenoriodisspage (+ 14 112) "3.4 Cohomologia de Cech") ;; (find-tenoriodisspage (+ 14 125) "4 Considerações Finais") ;; (find-tenoriodisspage (+ 14 129) "5 Apêndice") ;; (find-tenoriodisspage (+ 14 131) "Referências Bibliográficas") ;; (brg "$S/https/teses.usp.br/teses/disponiveis/45/45131/tde-24042019-195658/publico/AlgebraHomologicaEmTopos.pdf") ;; «tenorio-isocsq» (to ".tenorio-isocsq") ;; https://arxiv.org/abs/2204.08351 ;; https://arxiv.org/pdf/2204.08351.pdf (code-pdf-page "analuizaisocsq" "$S/https/arxiv.org/pdf/2204.08351.pdf") (code-pdf-text "analuizaisocsq" "$S/https/arxiv.org/pdf/2204.08351.pdf") ;; (find-analuizaisocsqpage) ;; (find-analuizaisocsqtext) ;; (find-psne-arxiv-links "https://arxiv.org/pdf/2204.08351.pdf" "analuizaisocsq") ;; (code-c-d "analuizaisocsq" "~/usrc/arxiv-analuizaisocsq/") ;; (find-analuizaisocsqfile "") ;; «tilson» (to ".tilson") ;; (find-books "__cats/__cats.el" "tilson") ;; https://doi.org/10.1016/0022-4049(87)90108-3 ;; See also: http://james.overton.ca/files/Overton-HonoursThesis.pdf (code-pdf-page "tilsoncaa" "~/books/__cats/tilson__categories_as_algebra.pdf") (code-pdf-text "tilsoncaa" "~/books/__cats/tilson__categories_as_algebra.pdf" -82) ;; (find-tilsoncaapage) ;; (find-tilsoncaapage 1 "Contents") ;; (find-tilsoncaapage (+ 1 189) "Index") ;; (find-tilsoncaatext "") ;; (find-tilsoncaapage (+ -82 90) "1. Graphs and categories") ;; (find-tilsoncaatext (+ -82 90) "1. Graphs and categories") ;; (find-tilsoncaapage (+ -82 95) "2. Division") ;; (find-tilsoncaatext (+ -82 95) "2. Division") ;; (find-tilsoncaapage (+ -82 106) "4. The derived category of a morphism") ;; (find-tilsoncaatext (+ -82 106) "4. The derived category of a morphism") ;; (find-tilsoncaapage (+ -82 112) "5. The Derived Category Theorem") ;; (find-tilsoncaatext (+ -82 112) "5. The Derived Category Theorem") ;; (find-tilsoncaapage (+ -82 117) "6. Congruences, free categories, and generators") ;; (find-tilsoncaatext (+ -82 117) "6. Congruences, free categories, and generators") ;; «trimble» (to ".trimble") ;; https://ncatlab.org/nlab/show/Todd+Trimble ;; https://ncatlab.org/toddtrimble/published/HomePage ;; https://ncatlab.org/toddtrimble/published/Epistemologies ;; https://ncatlab.org/toddtrimble/published/Three+topos+theorems+in+one ;; https://ncatlab.org/toddtrimble/published/An+elementary+approach+to+elementary+topos+theory ;; https://ncatlab.org/toddtrimble/published/Notes+on+predicate+logic ;; https://ncatlab.org/toddtrimble/published/Proving+lemmas+on+monoidal+categories ;; https://ncatlab.org/toddtrimble/published/Functional+completeness+for+cartesian+closed+categories ;; https://ncatlab.org/toddtrimble/published/Hyperdoctrine+version+of+G%C3%B6del+incompleteness ;; https://ncatlab.org/toddtrimble/published/multisorted+Lawvere+theories ;; https://ncatlab.org/toddtrimble/published/category+of+simple+graphs ;; https://ncatlab.org/toddtrimble/published/graph+minor ;; https://ncatlab.org/toddtrimble/published/abstraction centipede mathematics ;; https://en.wikipedia.org/wiki/Centipede_mathematics ;; https://ncatlab.org/toddtrimble/published/An+elementary+approach+to+elementary+topos+theory (code-pdf-page "eaet" "~/books/__cats/trimble__an_elementary_approach_to_elementary_topos_theory.pdf") (code-pdf-text "eaet" "~/books/__cats/trimble__an_elementary_approach_to_elementary_topos_theory.pdf" 1) ;; (find-eaetpage) ;; (find-eaetpage 1 "Contents") ;; (find-eaettext 1 "Contents") ;; (find-eaetpage 3 "proven for more general \"points\"") ;; (find-eaettext 3 "proven for more general \"points\"") ;; (find-eaetpage 10 "Consequences of the slice theorem") ;; (find-eaettext 10 "Consequences of the slice theorem") ;; (find-eaetpage 11 "4. Internal logic") ;; (find-eaettext 11 "4. Internal logic") ;; (find-eaettext "") ;; «tuhola» (to ".tuhola") ;; (find-books "__cats/__cats.el" "tuhola") ;; http://boxbase.org/ ;; http://boxbase.org/entries/2020/apr/27/cam_mk2 ;; http://boxbase.org/entries/2019/aug/26/idris-review/ ;; http://boxbase.org/entries/2020/mar/23/adjunctions_visualized/ ;; «tupinamba-yao» (to ".tupinamba-yao") ;; (find-books "__cats/__cats.el" "tupinamba-yao") (code-pdf-page "tupinambap" "~/books/__cats/tupinamba_yao__primer_on_phenomenological_political_economy-2021-04-07.pdf") (code-pdf-text "tupinambap" "~/books/__cats/tupinamba_yao__primer_on_phenomenological_political_economy-2021-04-07.pdf" 1) ;; (find-tupinambappage) ;; (find-tupinambappage 2 "Contents") ;; (find-tupinambaptext 2 "Contents") ;; (find-tupinambappage (+ 1 189) "Index") ;; (find-tupinambaptext "") ;; «vakar» (to ".vakar") ;; https://arxiv.org/search/cs?searchtype=author&query=V%C3%A1k%C3%A1r%2C%20M ;; ;; Matthijs Vakar: "A Framework for Dependent Types and Effects" ;; https://arxiv.org/abs/1512.08009 ;; https://arxiv.org/pdf/1512.08009.pdf (code-pdf-page "vakarfdte" "$S/https/arxiv.org/pdf/1512.08009.pdf") (code-pdf-text "vakarfdte" "$S/https/arxiv.org/pdf/1512.08009.pdf") ;; (find-vakarfdtepage) ;; (find-vakarfdtetext) ;; «valero» (to ".valero") ;; (find-books "__cats/__cats.el" "valero") (code-pdf-page "valerogt" "~/books/__cats/valero__gesture_theory_topos-theoretic_perspectives_and_philosophical_framework.pdf") (code-pdf-text "valerogt" "~/books/__cats/valero__gesture_theory_topos-theoretic_perspectives_and_philosophical_framework.pdf" 1) ;; (find-valerogtpage) ;; (find-valerogtpage 1 "Contents") ;; (find-valerogtpage (+ 1 189) "Index") ;; (find-valerogttext "") ;; «van_oosten» (to ".van_oosten") ;; http://www.staff.science.uu.nl/~ooste110/ ;; http://www.staff.science.uu.nl/~ooste110/realizability/johnstonereview.PDF ;; http://www.staff.science.uu.nl/~ooste110/realizability/johnstonereply.pdf (code-xpdf "oostenrealizbook" "~/books/__cats/van_oosten__realizability_an_introduction_to_its_categorical_side.pdf") (code-pdftotext "oostenrealizbook" "~/books/__cats/van_oosten__realizability_an_introduction_to_its_categorical_side.pdf") ;; (find-oostenrealizbookpage 10 "Introduction") ;; (find-oostenrealizbookpage 14 "Contents") ;; (find-oostenrealizbookpage (+ 17 138) "Eff as a universal construction") ;; (find-oostenrealizbookpage (+ 17 193) "Per models") ;; (find-oostenrealizbookpage (+ 17 291) "Bibliography") ;; (find-oostenrealizbookpage (+ 17 305) "Index") ;; (find-oostenrealizbooktext) ;; «vicary» (to ".vicary") ;; (find-books "__cats/__cats.el" "vicary") ;; http://www.cs.ox.ac.uk/people/jamie.vicary/ ;; http://www.cs.ox.ac.uk/people/jamie.vicary/IntroductionToCategoricalQuantumMechanics.pdf (code-pdf-page "heunenvicary" "$S/http/www.cs.ox.ac.uk/people/jamie.vicary/IntroductionToCategoricalQuantumMechanics.pdf") (code-pdf-text "heunenvicary" "$S/http/www.cs.ox.ac.uk/people/jamie.vicary/IntroductionToCategoricalQuantumMechanics.pdf") ;; (find-heunenvicarypage) ;; (find-heunenvicarytext) ;; «vicary-globular» (to ".vicary-globular") ;; https://golem.ph.utexas.edu/category/2015/12/globular.html ;; http://globular.science/ ;; http://ncatlab.org/nlab/show/Globular ;; https://ncatlab.org/nlab/show/homotopy.io ;; https://github.com/jamievicary/globular ;; https://www.youtube.com/watch?v=QXZJvXgs0xk&feature=youtu.be ;; ;; https://arxiv.org/abs/1612.01093 ;; https://arxiv.org/pdf/1612.01093.pdf (code-pdf-page "globular" "$S/https/arxiv.org/pdf/1612.01093.pdf") (code-pdf-text "globular" "$S/https/arxiv.org/pdf/1612.01093.pdf") ;; (find-globularpage) ;; (find-globulartext) ;; «vickers» (to ".vickers") ;; (find-books "__cats/__cats.el" "vickers") ;; https://www.cs.bham.ac.uk/~sjv/papersfull.php (code-djvu "vickerstopvialogic" "~/books/__cats/vickers__topology_via_logic.djvu") ;; (find-vickerstopvialogicpage 3 "Contents") ;; (find-vickerstopvialogicpage (+ 11 1) "Chapter one") ;; (find-vickerstopvialogicpage (+ 11 181) "12. Spectra of rings") ;; (find-vickerstopvialogicpage (+ 11 191) "Bibliography") ;; (find-vickerstopvialogicpage (+ 11 196) "Index") ;; ;; https://www.cs.bham.ac.uk/~sjv/papersfull.php ;; https://www.cs.bham.ac.uk/~sjv/LocTopSpaces.pdf ;; https://www.cs.bham.ac.uk/~sjv/TopPLVN.pdf ;; https://www.cs.bham.ac.uk/~sjv/TopPLN.pdf ;; https://www.cs.bham.ac.uk/~sjv/lnp.pdf ;; https://www.cs.bham.ac.uk/~sjv/papersfull.php#LocTopSpaces ;; https://www.cs.bham.ac.uk/~sjv/papersfull.php#TPLVN ;; https://www.cs.bham.ac.uk/~sjv/papersfull.php#TPLN ;; https://www.cs.bham.ac.uk/~sjv/papersfull.php#LNP ;; «vistoli» (to ".vistoli") ;; https://arxiv.org/abs/0412512 ;; https://arxiv.org/pdf/math/0412512.pdf ;; Angelo Vistoli: Notes on Grothendieck topologies, fibered categories and descent theory (2007) (code-pdf-page "vistoli" "$S/https/arxiv.org/pdf/math/0412512.pdf") (code-pdf-text "vistoli" "$S/https/arxiv.org/pdf/math/0412512.pdf") ;; (find-vistolipage) ;; (find-vistolitext) ;; «voevodsky» (to ".voevodsky") ;; https://mathoverflow.net/questions/338607/why-doesnt-mathematics-collapse-even-though-humans-quite-often-make-mistakes-in/ ;; https://mathoverflow.net/questions/96510/when-have-we-lost-a-body-of-mathematics-because-errors-were-found ;; https://en.wikipedia.org/wiki/Italian_school_of_algebraic_geometry ;; https://www.ias.edu/ideas/2014/voevodsky-origins (the 1993 quote below) ;; https://www.ias.edu/ideas/2013/awodey-coquand-univalent-foundations ;; ;; This story got me scared. Starting from 1993, multiple groups of ;; mathematicians studied my paper at seminars and used it in their ;; work and none of them noticed the mistake. And it clearly was not ;; an accident. A technical argument by a trusted author, which is ;; hard to check and looks similar to arguments known to be correct, ;; is hardly ever checked in detail. ;; «willerton» (to ".willerton") ;; https://arxiv.org/abs/0807.0658 ;; https://arxiv.org/pdf/0807.0658.pdf ;; Simon Willerton: "A Diagrammatic Approach to Hopf Monads" (code-pdf-page "willertondahm" "$S/https/arxiv.org/pdf/0807.0658.pdf") (code-pdf-text "willertondahm" "$S/https/arxiv.org/pdf/0807.0658.pdf") ;; (find-willertondahmpage) ;; (find-willertondahmtext) ;; ;; https://johncarlosbaez.wordpress.com/2020/05/26/the-legendre-transform-a-category-theoretic-perspective/ ;; "The Legendre-Fenchel transform from a category theoretic perspective" ;; https://arxiv.org/abs/1501.03791 ;; https://arxiv.org/pdf/1501.03791.pdf (code-pdf-page "willertonlegfe" "$S/https/arxiv.org/pdf/1501.03791.pdf") (code-pdf-text "willertonlegfe" "$S/https/arxiv.org/pdf/1501.03791.pdf") ;; (find-willertonlegfepage) ;; (find-willertonlegfetext) ;; «williams» (to ".williams") ;; https://math.ucr.edu/~williams/ ;; (find-books "__cats/__cats.el" "williams") ;; https://www.localcharts.org/t/matrices-of-categories-in-3d-string-diagrams/9424 2023oct18 ;; https://richardblute.files.wordpress.com/2023/10/williams-oct23.mp4 ;; https://color-logic.io/ ;; 2022nov02: ;; (find-pdf-page "~/books/__cats/williams__Logic-3-Matrices-Monads.pdf") ;; (find-pdf-page "~/books/__cats/williams__Logic-7_-Higher-Order-Logic.pdf") ;; (find-pdf-page "~/books/__cats/williams__Logic-in-Color-2-Duality-Equipments.pdf") ;; (find-pdf-page "~/books/__cats/williams__Logic-in-Color-Monads-and-Modules.pdf") ;; (find-pdf-page "~/books/__cats/williams__Logic-in-Color-The-Language.pdf") ;; (find-pdf-page "~/books/__cats/williams__Logic-in-Color_-Yoneda.pdf") (code-pdf-page "williamsmnd" "~/books/__cats/williams__mnd.pdf") (code-pdf-text "williamsmnd" "~/books/__cats/williams__mnd.pdf" 1) ;; (find-williamsmndpage) ;; (find-williamsmndtext "") (code-pdf-page "williams3d" "~/books/__cats/williams__thinking_in_3D.pdf") (code-pdf-text "williams3d" "~/books/__cats/williams__thinking_in_3D.pdf" 1) ;; (find-williams3dpage) ;; (find-williams3dtext "") ;; Williams/Stay: "Native Type Theory" ;; https://golem.ph.utexas.edu/category/2021/02/native_type_theory.html ;; https://golem.ph.utexas.edu/category/2021/03/native_type_theory_part_2.html ;; https://arxiv.org/abs/2102.04672 ;; https://arxiv.org/pdf/2102.04672.pdf (code-pdf-page "nativett" "$S/https/arxiv.org/pdf/2102.04672.pdf") (code-pdf-text "nativett" "$S/https/arxiv.org/pdf/2102.04672.pdf") ;; (find-nativettpage) ;; (find-nativetttext) ;; (find-video "$S/https/richardblute.files.wordpress.com/2021/11/williams-novfest.mp4") ;; (code-video "williamsnovfestvideo" "$S/https/richardblute.files.wordpress.com/2021/11/williams-novfest.mp4") ;; (find-williamsnovfestvideo "0:00") ;; (find-pdf-page "$S/https/richardblute.files.wordpress.com/2021/11/williams-novfest.pdf") ;; «winskel» (to ".winskel") ;; (find-books "__cats/__cats.el" "winskel") ;; https://www.cl.cam.ac.uk/~gw104/ ;; https://johncarlosbaez.wordpress.com/2019/10/06/quantales-from-petri-nets/ ;; http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.37.3821 (code-pdf-page "winskelpnll" "~/books/__cats/engberg_winskel__petri_nets_as_models_of_linear_logic.pdf") (code-pdf-text "winskelpnll" "~/books/__cats/engberg_winskel__petri_nets_as_models_of_linear_logic.pdf" 1) ;; (find-winskelpnllpage) ;; (find-winskelpnllpage 1 "Contents") ;; (find-winskelpnllpage (+ 1 189) "Index") ;; (find-winskelpnlltext "") ;; «wolter» (to ".wolter") ;; (find-books "__cats/__cats.el" "wolter") ;; https://www.sciencedirect.com/journal/electronic-notes-in-theoretical-computer-science/vol/203/issue/6 (2008) (code-pdf-page "wolterdloovm" "~/books/__cats/diskin_wolter__a_diagrammatic_logic_for_object-oriented_visual_modeling.pdf") (code-pdf-text "wolterdloovm" "~/books/__cats/diskin_wolter__a_diagrammatic_logic_for_object-oriented_visual_modeling.pdf" -18) ;; (find-wolterdloovmpage) ;; (find-wolterdloovmpage 1 "1 Introduction") ;; (find-wolterdloovmtext 1 "1 Introduction") ;; (find-wolterdloovmpage 3 "2 A quest for logic convenient for diagrammatic mod-" "eling") ;; (find-wolterdloovmtext 3 "2 A quest for logic convenient for diagrammatic mod-" "eling") ;; (find-wolterdloovmpage 7 "2.3 Semantics for generalized sketches, engineeringly") ;; (find-wolterdloovmtext 7 "2.3 Semantics for generalized sketches, engineeringly") ;; (find-wolterdloovmpage 8 "3 Modeling via sketches.") ;; (find-wolterdloovmtext 8 "3 Modeling via sketches.") ;; (find-wolterdloovmtext "") (code-pdf-page "wolter2020" "~/books/__cats/wolter__logics_of_first-order_constraints_a_category_independent_approach.pdf") (code-pdf-text "wolter2020" "~/books/__cats/wolter__logics_of_first-order_constraints_a_category_independent_approach.pdf" 1) ;; (find-wolter2020page) ;; (find-wolter2020page 1 "1 Introduction") ;; (find-wolter2020text 1 "1 Introduction") ;; (find-wolter2020page 3 "2 Base Category") ;; (find-wolter2020text 3 "2 Base Category") ;; (find-wolter2020page 4 "3 Variables, Features and Footprints") ;; (find-wolter2020text 4 "3 Variables, Features and Footprints") ;; (find-wolter2020page 14 "5 Institutions of First-Order Constraints") ;; (find-wolter2020text 14 "5 Institutions of First-Order Constraints") ;; (find-wolter2020page 16 "6 Sketches and Sketch Morphisms") ;; (find-wolter2020text 16 "6 Sketches and Sketch Morphisms") ;; (find-wolter2020page 19 "7 Sketch Rules") ;; (find-wolter2020text 19 "7 Sketch Rules") ;; (find-wolter2020page 21 "8 Conclusions and Future Research") ;; (find-wolter2020text 21 "8 Conclusions and Future Research") ;; (find-wolter2020text "") (code-pdf-page "woltermak2009" "~/books/__cats/diskin_wolter__generalized_makkai_construction_2009.pdf") (code-pdf-text "woltermak2009" "~/books/__cats/diskin_wolter__generalized_makkai_construction_2009.pdf" 1) (code-pdf-page "woltermak2010" "~/books/__cats/diskin_wolter__generalized_makkai_construction_2010.pdf") (code-pdf-text "woltermak2010" "~/books/__cats/diskin_wolter__generalized_makkai_construction_2010.pdf" 1) ;; (find-woltermak2009page) ;; (find-woltermak2009page 1 "Contents") ;; (find-woltermak2009page (+ 1 189) "Index") ;; (find-woltermak2009text "") ;; (find-woltermak2010page) ;; (find-woltermak2010page 1 "Contents") ;; (find-woltermak2010page (+ 1 189) "Index") ;; (find-woltermak2010text "") ;; «wood» (to ".wood") ;; (find-books "__cats/__cats.el" "wood") ;; ;; ;; http://www.numdam.org/item/CTGDC_1982__23_3_279_0.pdf ;; (find-fline "$S/http/www.numdam.org/item/" "CTGDC_1982__23_3_279_0.pdf") ;; R. J. Wood: "Abstract pro arrows I" (code-pdf-page "proarrows1" "$S/http/www.numdam.org/item/CTGDC_1982__23_3_279_0.pdf") (code-pdf-text "proarrows1" "$S/http/www.numdam.org/item/CTGDC_1982__23_3_279_0.pdf" -277) ;; (find-proarrows1page (+ -277 283)) ;; (find-proarrows1text) ;; (find-proarrows1page (+ -277 283) "PROPOSITION 3" "(Yoneda)") ;; (find-proarrows1text (+ -277 283) "PROPOSITION 3" "(Yoneda)") ;; (find-proarrows1page (+ -277 290) "REFERENCES") ;; (find-proarrows1text (+ -277 290) "REFERENCES") ;; ;; ;; R.J. Wood: "Abstract pro arrows II" ;; http://www.numdam.org/article/CTGDC_1985__26_2_135_0.pdf ;; (find-fline "$S/http/www.numdam.org/article/" "CTGDC_1985__26_2_135_0.pdf") (code-pdf-page "proarrows2" "$S/http/www.numdam.org/article/CTGDC_1985__26_2_135_0.pdf") (code-pdf-text "proarrows2" "$S/http/www.numdam.org/article/CTGDC_1985__26_2_135_0.pdf" -133) ;; (find-proarrows2page) ;; (find-proarrows2text) ;; (find-proarrows2page (+ -133 168) "REFERENCES") ;; (find-proarrows2text (+ -133 168) "REFERENCES") https://www.sciencedirect.com/journal/journal-of-algebra/vol/50/issue/2 ;; «yanofksy» (to ".yanofksy") ;; http://www.sci.brooklyn.cuny.edu/~noson/ ;; http://www.sci.brooklyn.cuny.edu/~noson/pubs.html ;; https://www.jstor.org/stable/i359590 Bulletin of Symbolic Logic sep/2004 ;; ;; A Universal Approach to Self-Referential Paradoxes, Incompleteness and Fixed Points: ;; https://arxiv.org/abs/0305282 ;; https://arxiv.org/pdf/math/0305282.pdf (code-pdf-page "yanofksysrpifp" "$S/https/arxiv.org/pdf/math/0305282.pdf") (code-pdf-text "yanofksysrpifp" "$S/https/arxiv.org/pdf/math/0305282.pdf") ;; (find-yanofksysrpifppage) ;; (find-yanofksysrpifptext) ;; Book: ;; http://www.sci.brooklyn.cuny.edu/~noson/TCSbeginning.pdf ;; ;; https://mdcats.github.io/assets/docs/Noson_TCStalkHandout.pdf ;; (find-fline "$S/https/mdcats.github.io/assets/docs/") (code-pdf-page "nosontcstalkhandout" "$S/https/mdcats.github.io/assets/docs/Noson_TCStalkHandout.pdf") (code-pdf-text "nosontcstalkhandout" "$S/https/mdcats.github.io/assets/docs/Noson_TCStalkHandout.pdf") ;; (find-nosontcstalkhandoutpage) ;; (find-nosontcstalkhandouttext) ;; «yoneda» (to ".yoneda") ;; (find-books "__cats/__cats.el" "yoneda") ;; Nobuo Yoneda: On Ext and Exact Sequences ;; http://alpha.math.uga.edu/~lorenz/YonedaExtExactSequences.pdf ;; (find-fline "$S/http/alpha.math.uga.edu/~lorenz/") (code-pdf-page "yoneda60" "$S/http/alpha.math.uga.edu/~lorenz/YonedaExtExactSequences.pdf") (code-pdf-text "yoneda60" "$S/http/alpha.math.uga.edu/~lorenz/YonedaExtExactSequences.pdf") ;; (find-yoneda60page) ;; (find-yoneda60page (+ -505 507) "0. Introduction") ;; (find-yoneda60page (+ -505 509) "1. Additive Categories") ;; (find-yoneda60page (+ -505 521) "2. S-Categories") ;; (find-yoneda60page (+ -505 532) "3. Similarity Classification and Composition Product") ;; (find-yoneda60text) ;; «yorgey» (to ".yorgey") ;; (find-books "__cats/__cats.el" "yorgey") ;; https://www.cis.upenn.edu/~sweirich/papers/yorgey-thesis.pdf ;; https://byorgey.wordpress.com/2012/11/20/combinatorial-species-definition/ ;; Brent Yorgey: "Combinatorial Species and Labelled Structures" (PhD Thesis, 2014) (code-pdf-page "yorgeyphd" "$S/https/www.cis.upenn.edu/~sweirich/papers/yorgey-thesis.pdf") (code-pdf-text "yorgeyphd" "$S/https/www.cis.upenn.edu/~sweirich/papers/yorgey-thesis.pdf") ;; (find-yorgeyphdpage) ;; (find-yorgeyphdtext) ;; «zalamea-fraser» (to ".zalamea-fraser") ;; (find-books "__cats/__cats.el" "zalamea-fraser") ;; https://fernandozalamea.academia.edu/ ;; https://ncatlab.org/nlab/show/Fernando+Zalamea (code-pdf-page "zalameafraser" "~/books/__cats/zalamea_fraser__synthetic_philosophy_of_contemporary_mathematics.pdf") (code-pdf-text "zalameafraser" "~/books/__cats/zalamea_fraser__synthetic_philosophy_of_contemporary_mathematics.pdf" 1) ;; (find-zalameafraserpage) ;; (find-zalameafraserpage 5 "Contents") ;; (find-zalameafraserpage (+ 8 205) "Quiddital") ;; (find-zalameafrasertext "") ;; «zhang-ttct» (to ".zhang-ttct") ;; (find-books "__cats/__cats.el" "zhang-ttct") ;; Tesla Zhang: "Type Theories in Category Theory" ;; http://personal.psu.edu/yqz5714/ ;; https://personal.psu.edu/yqz5714/cwa.pdf (code-pdf-page "zhangttct" "$S/https/personal.psu.edu/yqz5714/cwa.pdf") (code-pdf-text "zhangttct" "$S/https/personal.psu.edu/yqz5714/cwa.pdf") ;; (find-zhangttctpage) ;; (find-zhangttcttext) ;; (find-zhangttctpage 2 "1. Preface") ;; (find-zhangttctpage 2 "2. Background and motivation") ;; (find-zhangttctpage 4 "2.1. Pullbacks and products") ;; (find-zhangttctpage 5 "2.2. Duality and coproducts") ;; (find-zhangttctpage 6 "2.3. The category of contexts") ;; (find-zhangttctpage 7 "3. Basic category theory") ;; (find-zhangttctpage 9 "3.1. Grothendieck fibrations") ;; (find-zhangttctpage 10 "3.2. Towards a comprehension category") ;; (find-zhangttctpage 12 "3.3. Slightly higher categories") ;; (find-zhangttctpage 13 "3.4. Preparation for a category with attributes") ;; (find-zhangttctpage 14 "3.5. Cartmell's artifacts") ;; (find-zhangttctpage 15 "4. Categorical semantics") ;; (find-zhangttctpage 17 "4.1. Star at the top: the unit type") ;; (find-zhangttctpage 18 "4.2. Like a semiring: the (co)product type") ;; (find-zhangttctpage 20 "4.3. Internal homs and the evaluation map") ;; (find-zhangttctpage 21 "4.4. Locally cartesian closed contextual categories and fiber exponents") ;; (find-zhangttctpage 22 "4.5. Simple type theory: the function type") ;; (find-zhangttctpage 23 "5. Alternative constructions") ;; (find-zhangttctpage 24 "5.1. Type categories") ;; (find-zhangttctpage 26 "5.2. Categories with families") ;; (find-zhangttctpage 27 "6. Dependent type theory") ;; (find-zhangttctpage 28 "6.1. Equalizers: the extensional equality type") ;; (find-zhangttctpage 30 "6.2. Locally cartesian closed categories: the dependent product type") ;; (find-zhangttctpage 31 "6.3. Subobject classifiers: the universe of all propositions") ;; (find-zhangttctpage 33 "6.4. Internalized constructions") ;; (find-zhangttctpage 34 "7. More category theory") ;; (find-zhangttctpage 36 "7.1. Common mistakes and countereaxmples") ;; (find-zhangttctpage 37 "Acknowledgement") ;; (find-zhangttctpage 37 "References") ;; http://alpha.math.uga.edu/~lorenz/YonedaHomologyTheoryModules.pdf ;; (find-fline "$S/http/alpha.math.uga.edu/~lorenz/") (code-pdf-page "yoneda54" "$S/http/alpha.math.uga.edu/~lorenz/YonedaHomologyTheoryModules.pdf") ;; (find-yoneda54page) ;; «diagrams2020» (to ".diagrams2020") ;; (find-books "__cats/__cats.el" "diagrams2020") ;; http://www.diagrams-conference.org/2020/ ;; http://www.diagrams-conference.org/2020/index.php/program/ ;; http://www.diagrams-conference.org/2020/index.php/program/logic-and-diagrams/ld3/ ;; http://www.diagrams-conference.org/2020/index.php/program/logic-and-diagrams/ld4/ smessaert ;; https://link.springer.com/book/10.1007%2F978-3-030-54249-8 (code-pdf-page "diagrams2020" "~/books/__cats/diagrams_2020.pdf") (code-pdf-text "diagrams2020" "~/books/__cats/diagrams_2020.pdf" 1) ;; (find-diagrams2020page) ;; (find-diagrams2020page 10 "Contents") ;; (find-diagrams2020page (+ 13 3) "Index") ;; (find-diagrams2020text "") ;; (find-diagrams2020page (+ 13 394) "Nathan Haydon and Pawel Sobocinski") ;; (find-diagrams2020text (+ 13 394) "Nathan Haydon and Pawel Sobocinski") ;; «lncs0242» (to ".lncs0242") ;; (find-books "__cats/__cats.el" "lncs0242") ;; (find-books "__cats/__cats.el" "lambek86") ;; https://link.springer.com/book/10.1007/3-540-17184-3 LNCS 242 (code-pdf-page "lncs0242" "~/books/__cats/lncs0242__combinators_and_functional_programming_languages.pdf") (code-pdf-text "lncs0242" "~/books/__cats/lncs0242__combinators_and_functional_programming_languages.pdf" 1) ;; (find-lncs0242page) ;; (find-lncs0242page 5 "Contents") ;; (find-lncs0242page (+ 5 136) "Lambek" "Cartesian Closed Categories and Lambda Calculus") ;; (find-lncs0242text "") ;; «slnm0274» (to ".slnm0274") (code-djvu "slnm0274" "~/books/__cats/lawvere_ed__toposes_algebraic_geometry_and_logic_slnm0274.djvu") ;; (find-slnm0274page 4 "Contents") ;; (find-slnm0274page (+ 5 43) "Classifying Topos" "Jean Giraud") ;; (find-slnm0274page (+ 5 57) "Deductive systems and categories III" "Joachim Lambek") ;; «slnm0661» (to ".slnm0661") ;; (find-books "__cats/__cats.el" "slnm0661") ;; (find-books "__cats/__cats.el" "pare-schumacher") (code-pdf-page "slnm0661" "~/books/__cats/slnm_661__indexed_categories_and_their_applications.pdf") (code-pdf-text "slnm0661" "~/books/__cats/slnm_661__indexed_categories_and_their_applications.pdf" 1) ;; (find-slnm0661page) ;; (find-slnm0661page 6 "Contents") ;; (find-slnm0661page (+ 6 1) "Paré-Schumacher") ;; (find-slnm0661page (+ 1 189) "Index") ;; (find-slnm0661text "") ;; «slnm0753» (to ".slnm0753") ;; «fourman» (to ".fourman") ;; «fourman-scott» (to ".fourman-scott") ;; (to "dana-scott") ;; (find-books "__cats/__cats.el" "slnm0753") ;; (find-books "__cats/__cats.el" "fourman-scott") ;; (find-books "__cats/__cats.el" "gray-histsheaf") ;; (find-LATEX "catsem.bib" "bib-Fourman") ;; https://link.springer.com/book/10.1007/BFb0061811 SLNM 0753 (code-pdf-page "slnm0753" "~/books/__cats/fourman_mulvey_scott_eds__applications_of_sheaves_slnm0753.pdf") (code-pdf-text "slnm0753" "~/books/__cats/fourman_mulvey_scott_eds__applications_of_sheaves_slnm0753.pdf") ;; (find-slnm0753page 7 "Contents") ;; (find-slnm0753text 7 "Contents") ;; (find-slnm0753page (+ 16 1) "Fragments of the history of sheaf theory" "Gray") ;; (find-slnm0753page (+ 16 302) "Sheaves and Logic" "Fourman" "Scott") ;; (find-slnm0753page (+ 16 302) "Preamble") ;; (find-slnm0753page (+ 16 307) "I. Complete Heyting Algebras.") ;; (find-slnm0753page (+ 16 307) "1. Definitions and first examples.") ;; (find-slnm0753page (+ 16 313) "Various finite distributive lattices") ;; (find-slnm0753page (+ 16 318) "2. Morphisms and quotients.") ;; (find-slnm0753page (+ 16 321) "The image of a cHa under a cHa morphism is again a cHa") ;; (find-slnm0753page (+ 16 324) "Congruence relations") ;; (find-slnm0753page (+ 16 324) "J-operators") ;; (find-slnm0753page (+ 16 325) "The fixed points of a multiplicative operator on a cHa form a cHa") ;; (find-slnm0753page (+ 16 329) "2.17 Lemma." "least J-operator") ;; (find-slnm0753page (+ 16 329) "2.18 Elementary J-operators") ;; (find-slnm0753page (+ 16 330) "The forcing quotient") ;; (find-slnm0753page (+ 16 331) "(i) J_a v J_b = J_avb") ;; (find-slnm0753page (+ 16 331) "polynomial") ;; (find-slnm0753page (+ 16 333) "THE ALGEBRA OF PROPOSITIONS") ;; (find-slnm0753page (+ 16 334) "3. Points and sober spaces.") ;; (find-slnm0753page (+ 16 339) "II. First-order Structures.") ;; (find-slnm0753page (+ 16 339) "4. Omega-sets and sheaves.") ;; (find-slnm0753page (+ 16 353) "4.19 (ii) Presheaves as sheaves") ;; (find-slnm0753page (+ 16 358) "5. First-order logic.") ;; (find-slnm0753page (+ 16 371) "6. Change of base.") ;; (find-slnm0753page (+ 16 379) "III. Higher-order Structures.") ;; (find-slnm0753page (+ 16 379) "7. Types and higher-order logic.") ;; (find-slnm0753page (+ 16 383) "8. The reals and topological spaces.") ;; (find-slnm0753page (+ 16 393) "9. Topoi and internalization.") ;; (find-slnm0753page (+ 16 399) "Bibliography") ;; (find-slnm0753page (+ 16 660) "Identity and existence in intuitionistic logic" "Dana Scott") ;; «slnm1348» (to ".slnm1348") ;; http://gigapedia.com/items/88817/categorical-algebra-and-its-applications (code-djvu "slnm1348" "~/books/__cats/borceux_ed__categorical_algebra_and_its_applications_slnm1348.djvu") ;; (find-slnm1348page 4 "Contents") ;; (find-slnm1348page (+ 20 221) "On the Unity of Algebra and Logic" "J. Lambek") ;; «slnm1448» (to ".slnm1448") ;; Carboni, Pedicchio, Rosolini, eds.: "Category Theory (Proceedings..., Como 1990)" (SLNM 1488) (code-djvu "ctcomo90" "~/books/__cats/carboni_pedicchio_rosolini_eds__category_theory_slnm1488.djvu") (code-djvu "slnm1488" "~/books/__cats/carboni_pedicchio_rosolini_eds__category_theory_slnm1488.djvu") ;; (find-ctcomo90page 5 "Table of Contents") ;; (find-ctcomo90page (+ 8 157) "Precategories and Galois Theory") ;; (find-ctcomo90page (+ 14 359) "Topos-theoreric approaches to modality") ;; (to "reyes") ;; «slnm1915» (to ".slnm1915") ;; http://gigapedia.org/items/88814/categorical-aspects-of-topology-and-analysis--proceedings-of-an-international-conference-held-at-carleton-university--ottawa--august-11-15--1981--lecture-notes-in-mathematics- ;; Banaschewski, ed.: "Categorical Aspects of Topology and Analysis" (SLNM 1915) (code-djvu "cataspoftaa" "~/books/__cats/banaschewski_ed__categorical_aspects_of_topology_and_analysis.djvu") ;; (find-cataspoftaapage 4 "Contents") ;; (find-cataspoftaapage (+ -3 310) "Simmons") ;; «tlca2011» (to ".tlca2011") ;; (find-books "__cats/__cats.el" "tlca2011") ;; https://link.springer.com/chapter/10.1007%2F978-3-642-21691-6_10 ;; Clairambault/Dybjer: ;; "The Biequivalence of Locally Cartesian Closed Categories and Martin-Lof Type Theories" (2011) ;; Similar to: ;; https://www.cse.chalmers.se/~peterd/papers/TLCA2011.pdf ;; http://www.cse.chalmers.se/~peterd/papers/ClairambaultDybjer.pdf ;; (code-pdf-page "tlca2011" "~/books/__cats/ong_ed__typed_lambda_calculi_and_applications_2011.pdf") (code-pdf-text "tlca2011" "~/books/__cats/ong_ed__typed_lambda_calculi_and_applications_2011.pdf" 10) ;; (find-tlca2011page) ;; (find-tlca2011text "") ;; (find-tlca2011page 9 "Table of Contents") ;; (find-tlca2011text 9 "Table of Contents") ;; (find-tlca2011page (+ 10 91) "Pierre Clairambault and Peter Dybjer") ;; (find-tlca2011text (+ 10 91) "Pierre Clairambault and Peter Dybjer") ;; (find-tlca2011page (+ 10 91) "Seely's paper") ;; (find-tlca2011text (+ 10 91) "Seely's paper") ;; slnm 0445: contains wraith's article ;; http://gigapedia.com/items/108113/model-theory-and-topoi--a-collection-of-lectures-by-various-authors (code-djvu "slnm0445" "~/books/__cats/lawvere_maurer_wraith__model_theory_and_topoi_a_collection_of_lectures_by_various_authors_slnm0445.djvu") (code-djvutotext "slnm0445" "~/books/__cats/lawvere_maurer_wraith__model_theory_and_topoi_a_collection_of_lectures_by_various_authors_slnm0445.djvu") ;; (find-slnm0445page 1 "Contents") ;; (find-slnm0445page (+ -1 114) "Index") ;; (find-slnm0445page (+ -3 297) "Index") ;; (find-slnm0445text "") ;; Makkai: ;; http://gigapedia.com/items/102448/first-order-categorical-logic--model-theoretical-methods-in-the-theory-of-topoi-and-related-categories ;; http://gigapedia.com/items/339844/category-theory-and-computer-programming--tutorial-and-workshop--guildford--u-k---september-16---20--1985--proceedings--lecture-notes-in-computer-science- ;; http://gigapedia.com/items/4498/computational-category-theory--prentice-hall-international-series-in-computer-science- ;; http://gigapedia.com/items/339847/category-theory-and-computer-science--edinburgh--uk--september-7-9--1987--proceedings--lecture-notes-in-computer-science- ;; http://gigapedia.com/items/339848/category-theory-and-computer-science--manchester--uk--september-5-8--1989--proceedings--lecture-notes-in-computer-science- ;; http://gigapedia.com/items/339849/category-theory-and-computer-science--6th-international-conference--ctcs---039-95--cambridge--united-kingdom--august-7---11--1995--proceedings--lecture-notes-in-computer-science- ;; http://gigapedia.com/items/339851/category-theory-and-computer-science--paris--france--september-3-6--1991--proceedings--lecture-notes-in-computer-science- ;; https://agrothendieck.github.io/ 1973: audios ;; Michael Heller - Jerzy Krol: ;; How Logic Interacts with Geometry: Infinitesimal Curvature of Categorical Spaces ;; https://arxiv.org/pdf/1605.03099.pdf ;; Pierre-Marie Pédrot and Nicolas Tabareau: Failure is Not an Option - An Exceptional Type Theory ;; https://www.xn--pdrot-bsa.fr/articles/exceptional.pdf ;; ;; Local Variables: ;; mode: emacs-lisp ;; coding: raw-text-unix ;; ee-anchor-format: "«%s»" ;; End: