From dfccca8326374e6ae69f45b6c99382c79952d7b4 Mon Sep 17 00:00:00 2001 From: Leon Vatthauer Date: Mon, 25 Mar 2024 12:02:25 +0100 Subject: [PATCH] functors --- tex/.vscode/ltex.dictionary.en-US.txt | 4 + .../ltex.hiddenFalsePositives.en-US.txt | 1 + tex/main.pdf | Bin 106047 -> 121614 bytes tex/main.tex | 4 +- tex/sections/01_introduction.tex | 2 +- tex/sections/02_categories.tex | 117 +++++++++++++++++- 6 files changed, 122 insertions(+), 6 deletions(-) diff --git a/tex/.vscode/ltex.dictionary.en-US.txt b/tex/.vscode/ltex.dictionary.en-US.txt index 3c1488d..81fe0a3 100644 --- a/tex/.vscode/ltex.dictionary.en-US.txt +++ b/tex/.vscode/ltex.dictionary.en-US.txt @@ -32,3 +32,7 @@ iff posets coproduct monoid +hom-functor +monoids +n-ary +Cocartesian diff --git a/tex/.vscode/ltex.hiddenFalsePositives.en-US.txt b/tex/.vscode/ltex.hiddenFalsePositives.en-US.txt index cb4087c..1f34694 100644 --- a/tex/.vscode/ltex.hiddenFalsePositives.en-US.txt +++ b/tex/.vscode/ltex.hiddenFalsePositives.en-US.txt @@ -8,3 +8,4 @@ {"rule":"COMMA_PARENTHESIS_WHITESPACE","sentence":"^\\Q[cases] mycase Case .\\E$"} {"rule":"MORFOLOGIK_RULE_EN_US","sentence":"^\\QIt seems that these proofs should somehow be constructable from each other\\E$"} {"rule":"ENGLISH_WORD_REPEAT_RULE","sentence":"^\\QEvery categorical notion can thus be dualized by viewing it in the dual category, some examples include: Notion Dual Notion Initial Object Terminal Object Monomorphism Epimorphism Isomorphism Isomorphism\\E$"} +{"rule":"ADJECTIVE_ADVERB","sentence":"^\\QThe rest of the proof then amounts to easy rewriting.\\E$"} diff --git a/tex/main.pdf b/tex/main.pdf index 94387b59b2b9dc9f724ceca9ebf520cd9b017026..6ae860e9133b5e1ad9874b9f41f2aad22cfd41c5 100644 GIT binary patch delta 63007 zcmZs?LvWy7v^5;tcE`4zjykq&+s>1uW81cE+vwQt*j6X`-aGiK?ydUgyVl?g_F39} z-B7Wu(DfRi=*LGIGn5_f#XAz~=NCiB?2FOiN!Fkx0K1?doQtconUNiw=f+j$Ozb8x z%Giw`T;I=AW(0$U$uMcVk{#M3^{04KE`g^%FMSyGuux+^Y*p+ETh!;##zGrT#%?V} zXYxY1_P#ue8s;ZiO|ljpJoc(S{&lW@D|{RuV($<$mnd?6H1TyNWzyJWeLlodf$)P! zBK@2L0Vcs*{1L}Gva%t7Lz~2(^vFaJ-Q2&FoAQrc7=1?Y(e@jjy z3id%T`(exs)-MKKUSt*9Ax!?6v-_ig>Fh-;Tw6pCjnj5E#ALIQ(jFx?#1*KfzXL`m zOvK9|vXHF>X+LgENj<-!QLbYN1E@o92fzZPnQg30|8$YxLeZ<&CkZ$j(XAy6H>aRq z0>M9*n~J(Z6pUyv%t@7Y-i|+^Bg8T`ldDyNH&~NN^?jowQIK;;qwmI`F`N)86+Pko z9OoxTNJ<95PW=TuEHEupC5N{#yhFsA#}SINaHYgXJ|H(9Sr%->gyin)&$Iu8CB{p|?r|h*gwqD@)Ib27T`9-00_S-D_&Ti$121`^3gN(VI;{+`MW7estM(G&c z?B?hp4g@vM9xzJ6DJb%MSc*I|JX;HuGVu|@boQ2IQY`l0;EkudyM$Ukb6&v=fCKBq z+MlFH8axVZFo+nzlfGJElV zipDODBU>?l(ikR6=Wnf;)2!mB_3&UY2GZf1lI^3CX%sVfP(X3?=5op*DBF=P{F0hu zqC6<{?)!JYHNjATo}}+RqQA024lwd`ZjH*tegeh!(6JZyuGq!C@g#b+;l^elQ91(t zm+TpH-4H!YXvPn;L^$!(S8IkHdEqI1rD#l`*-lk(-Pxv9Lv*xN)SnkD7hF*t0y?hV zChc$@OM@d3XY;WQX^wpBu-@w|n64etN1^F0+KGn^E4gtk`}dBMRgQaVz>+yUiil?D z&x%-W4B|v->AKSLkv2Z_Nko5s1N(7kq|~hU#NYAbuC&?&zbL{`OhV>1llw$?LnL#1X5sgYU=My5UkUxIkG@>m)9_PdJ`G+yLA3uGik31yZV~nUzQw+Z6b()iK0t5MfnqcO*jTxl|IbFz zm5IaeKgOWs#r26duZ9fT1`#~EIiVBmoWNSQwla+a$7%h; zX4@#K?)PM@#O9YXJbb4hD=$9_bv*QV4~^$PaMBiavMVSDe3r2%?a|*7mnxh{&Cij_ z(lS#mJpyM>59lY)!yR|obl<*;(gh>b&CdKI55nH;<7{~PcVZg&w+SUxp8L9sSuR!y z5_sWpz4Cuo6@HWgzIfMr8*JAoALZ`jR5QuXUN%-_bD=^bZa4|KkBYJGJ^I4Mr+BGW zl>H}}l@#ViY;d}NwggM;v@&uN$Z~hu%aE|cIe^KOKy6C%(pj;foeOl-ldTDM)P&}O zXc~G2bhF5^M_Krcvk-PCebe%^9uudxw&_A7n|70}V5Bj4u%9btBF$~>oAJ3$d36uc zY*2_j3HU1BQvvzz(#)IMa$6V?Y@BnV{N#+N_vAAaGw4oFJhjp#UPvLw!qn!jCZ@ZG%)6G8C}FYqy^^d$>T`Q6gwpk zFL@pCM&yl%7E8heDhio;DL;zdTVnpJKzev z$}NQMKoil*+d{&|2_n2+xf2GKI*V*O!^tSvOAtbki^sYVUe(alcPGl#o@8-9^+^^y zc%T$kL1Iyl$Z(RZRA$VbMSw&Uk@zoH;`Lz|8^sOz_A(jt?B=gharnmhPK8pW#J_BM zWRlFF+HOmTb|r9GX>@+qB*bTQ_v`DBfc<#KvI zMx*J2pMKWOWoFZmHYqzSoxPQr$T^M;iQ)(E2sarN9(pidcg7c=lFJ()IrKn=^u|3# zxjD=gc7HbX_@=?H&+?A#>wlpr;CUNZp4spDCt{SJ;(!=&C!rS#M8NLk5Lhz!VXQJU z(>oifQ*XTd@+(w#!4rg!J!zn9AZkr{e7#bS&&wUs#j-<|FZaUv^T$Kq8xS@nP7ViW zH;kE(Jc|;8a4g8_5zZexH#~mft3S8%x|I`seQAhX2A_+6tT*sb+lwc-enoM~&o
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