From 159805ad0a107d9c7ca30f7b56d292253448c3c4 Mon Sep 17 00:00:00 2001 From: CDaut Date: Fri, 4 Nov 2022 11:53:28 +0100 Subject: [PATCH] began yoneda chapter --- chapters/yoneda.tex | 4 ++++ main.pdf | Bin 354282 -> 355528 bytes main.tex | 1 + 3 files changed, 5 insertions(+) diff --git a/chapters/yoneda.tex b/chapters/yoneda.tex index e69de29..dc4393f 100644 --- a/chapters/yoneda.tex +++ b/chapters/yoneda.tex @@ -0,0 +1,4 @@ +\section{Das Yoneda Lemma} +Sei $\mathcal{F}:\mathscr{C}\mapsto\cat{set}$ ein Funktor und $x\in\ob\mathscr{C}$. Dann gilt:\\ +$\text{NatTrafo}(\mor{\mathscr{C}}{X}{\_}, \mathcal{F}(\_))\cong\mathcal{F}(X)$ mit\\ +$\eta\xrightarrow{Yo}\eta_X(\text{id}_X)$ \ No newline at end of file diff --git a/main.pdf b/main.pdf index 559f6e060c306bbf05f726fda643eab444d90203..fd1fa5b65ca5525c6b690b3c5bfd3e8711284c52 100644 GIT binary patch delta 42408 zcmaELUi8FG(G3-hjONo5g;=%f-%i_^cgH}W?RPELv=qg*?}5iWa#Z}7#Iu-gvp!y0 zKJ_Z&i-L*E`8B=Hy-TXyI&rn)2}!;We~q1mHZZcptT~Z#{?pa=;&lw7Gq{gB)baNm zJ!7d6V@Lz{S%ZQd$XMXgv0%RACKPMre{?$yWaPpN=1}ZGv|pJ2b^Y!xChp! z^)}s~y|1F6_Tm+d$5V>L_?$j$H21zI{x)E}_x6t$XJ_Oca`amIJvgv+r;x&88E?zj z24^QP)yC-^UN5TlXWmk}r@XewLc&QbkLiT_$AhJAYZE!&?~k1{gUi}ERrt#1h4;St zN_Q(Ln4a0AT+6l6;)d}}TT4VFn`wgz%e!kx0^Y`}G z`8&jNCG9NZ>=vF?zIE;D-P+4xkImKkypQcLn6R%(sQb9*AHhJj>-!&PTh(w5e9HJ6^%hn?EzxUzGJk5_F`?4z&3nNkl}x0=N4ei`~XRCKzRFt4PohtcixKVRwp zJZ0lIIgn9!a~^ZhWpPV$1p|frq%1BQ8!mmH)V%bP3*QTdGt4%Lk zd$sw}tHZ7D=I6ie4(EO?Dira_?do?eBMCDt3ASrtSG~WkEl6#Rdi`iurIz;NlEP>< 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zubg!)ov%&Qiul%+X1YYG?EAJ?RYBadPp`;Rkxr=Zw_mB|Df{MS{@sQ5chAgevR!|1 zlI{|@Z)Jg|uGzW@LL diff --git a/main.tex b/main.tex index afa33a2..3511403 100644 --- a/main.tex +++ b/main.tex @@ -33,4 +33,5 @@ every edge/.style = {draw, -to} \include{./chapters/Grundlagen.tex} \include{./chapters/Kegel_und_Ko.tex} \include{./chapters/nat_trafo.tex} +\include{./chapters/yoneda.tex} \end{document} \ No newline at end of file