From fb7eeff3a0a8ce673d69aa507f3f9aa455204eb4 Mon Sep 17 00:00:00 2001 From: CDaut Date: Thu, 13 Oct 2022 17:57:01 +0200 Subject: [PATCH] Anfang Kolimes Kokegel Koprodukt --- chapters/Kegel_und_Ko.tex | 25 ++++++++++++++++++++++++- main.pdf | Bin 360256 -> 364574 bytes 2 files changed, 24 insertions(+), 1 deletion(-) diff --git a/chapters/Kegel_und_Ko.tex b/chapters/Kegel_und_Ko.tex index e034394..531b97a 100644 --- a/chapters/Kegel_und_Ko.tex +++ b/chapters/Kegel_und_Ko.tex @@ -260,4 +260,27 @@ aussehen können. $\Rightarrow\varphi\circ\tilde{\varphi}=id_L$\\ Analog: $\tilde{\varphi}\circ\varphi=id_{\tilde{L}}$ \qed -\end{lemma} \ No newline at end of file +\end{lemma} +\subsection{Kokegel, Kolimes und Koprodukt} +\begin{definition}{Kokegel \& Kolimes\\} + Sei $D:I\mapsto\mathscr{C}$ ein Diagramm.\\ + Kokegel: + \begin{tikzpicture}[baseline=5mm] + \node[blue] (K) at (0, 0){$K$}; + \node (P1) at (-1, 1){$\cdot$}; + \node (P2) at (1, 1){$\cdot$}; + \node (center) at (0,1){}; + + \draw + (P1) edge (P2) + (P1) edge[blue] (K) + (P2) edge[blue] (K) + ; + \draw (center) ellipse (1.25 and 0.25); + \end{tikzpicture} + Ein Objekt $K$ aus $\mathscr{C}$, sodass von jedem Objekt aus $\mathscr{C}$ + Morphismen auf $K$ existieren und alle Dreiecke kommutieren.\\ + Ein Kolimes ist ein universeller Kokegel: + + +\end{definition} \ No newline at end of file diff --git a/main.pdf b/main.pdf index c19fe3cf22c2ca766287656a792a836fa717f899..3aed12d7bf358d11703f04254b1486fd5c396793 100644 GIT binary patch delta 100693 zcmX@`Pjub_u?_8v%*N)H(?2+~YSv$!veECbfk4}LyH@vTrDNrOb1GaHiHdB?5p{NT z$};s0m{s!N<<1FPmS}ny1WbLoX7hXd-@EMtb&|Wzs;%lb|M;Y86)$sq)_sNU_=ptM zs1(Jh%&BRGhs6G@i_raCwOd%KB5Lo_caa%K!&`56E&nl3#EGq|FFHe13%_i#E?hYlB^9;qM zDm}xNG7I+Cy(<6v@_XErlvz#;{=2?5-`=rnZk)u8{|~Omm)pzomi^dgx?@_^d7p$6 zr?(#H*#2c*RLX_);_ZrEFU$H(B=h!#yibPk$)ED$HVJU}il1qcf{U{n<$G$+yjf z_WcgmFkhv0h)H4I%~OeUjyz5|^>o#nDf~BYGRp=^ty3+UHpNEs|F06^2h1WGmB(fu zcV+5iyAWT#IDSd@+a|qr@d5w;fBJURK5l8&K^D)}N8Pv29*Q`m8=sNax%B0uvb{gb 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