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authorAndreas Müller <andreas.mueller@ost.ch>2021-02-09 21:52:16 +0100
committerAndreas Müller <andreas.mueller@ost.ch>2021-02-09 21:52:16 +0100
commitada53a9c225b896c8d7608300427aac475bb7045 (patch)
tree1b1fe99c3e78256ff839611225dd61d983b96575 /buch/chapters/95-homologie/chapter.tex
parentIllustrationen Markov-Ketten (diff)
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diff --git a/buch/chapters/95-homologie/chapter.tex b/buch/chapters/95-homologie/chapter.tex
index 95ecb79..eaa56c4 100644
--- a/buch/chapters/95-homologie/chapter.tex
+++ b/buch/chapters/95-homologie/chapter.tex
@@ -14,42 +14,7 @@ Es ist zum Beispiel nicht möglich, ein Dreieck vom Rand eines
Dreiecks zu unterscheiden~\ref{buch:homologie:figure:zusammenziehbar}.
\begin{figure}
\centering
-\begin{tikzpicture}[>=latex,thick]
-\def\punkt#1{
- \fill[color=white] #1 circle[radius=0.07];
- \draw #1 circle[radius=0.07];
-}
-\begin{scope}[xshift=3cm]
-\draw[->] (0,0) -- (3,3);
-\draw[->] (0,0) -- (4,1);
-\draw[->] (4,1) -- (3,3);
-\node at (0,0) [below left] {$P_0$};
-\node at (4,1) [below right] {$P_1$};
-\node at (3,3) [above] {$P_2$};
-\punkt{(0,0)}
-\punkt{(4,1)}
-\punkt{(3,3)}
-\node at (2,0.5) [below] {$k_{01}$};
-\node at (1.5,1.5) [above left] {$k_{02}$};
-\node at (3.5,2) [right] {$k_{12}$};
-\end{scope}
-\begin{scope}[xshift=-3cm]
-\fill[color=gray!40] (0,0) -- (4,1) -- (3,3) -- cycle;
-\draw[->] (0,0) -- (3,3);
-\draw[->] (0,0) -- (4,1);
-\draw[->] (4,1) -- (3,3);
-\node at (0,0) [below left] {$P_0$};
-\node at (4,1) [below right] {$P_1$};
-\node at (3,3) [above] {$P_2$};
-\node at (2,0.5) [below] {$k_{01}$};
-\node at (1.5,1.5) [above left] {$k_{02}$};
-\node at (3.5,2) [right] {$k_{12}$};
-\node at (2.333,1.333) {$\triangle$};
-\punkt{(0,0)}
-\punkt{(4,1)}
-\punkt{(3,3)}
-\end{scope}
-\end{tikzpicture}
+\includegraphics{chapters/95-homologie/images/dreieck.pdf}
\caption{Ein Dreieck $\triangle$ (rechts) und der Rand des Dreicks
(links) sind mit den Methoden
der Graphentheorie nicht unterschiedbar.