File:VanKampen-01.png

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Original file(1,628 × 422 pixels, file size: 52 KB, MIME type: image/png)

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Summary[edit]

Description
English: Latex source :

\begin{tikzpicture}[description/.style={fill=white,inner sep=2pt}] \matrix(a)[matrix of math nodes, row sep=2em, column sep=2.5em, text height=1.5ex, text depth=0.25ex] { & \pi_1(U_1)\\

 \pi_1(U_1\cap U_2) & & \pi_1(U_1) *_{\pi_1(U_1\cap U_2)} \pi_1(U_2) & & \pi_1(X)\\
& \pi_1(U_2)\\};

\path[->](a-2-1) edge node[below]{$i_2$} (a-3-2); \path[->](a-2-1) edge node[above]{$i_1$} (a-1-2); \path[->](a-1-2) edge[bend left=10] node[above]{$j_1$} (a-2-5); \path[->](a-3-2) edge[bend right=10] node[below]{$j_2$} (a-2-5); \path[->,dashed](a-2-3) edge node[description]{$k$} (a-2-5); \path[->,dashed](a-1-2) edge node[]{} (a-2-3); \path[->,dashed](a-3-2) edge node[]{} (a-2-3);

\end{tikzpicture
}
Source Own work
Author Vincent Semeria

Licensing[edit]

Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

File history

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Date/TimeThumbnailDimensionsUserComment
current09:49, 12 February 2010Thumbnail for version as of 09:49, 12 February 20101,628 × 422 (52 KB)Vincent Semeria (talk | contribs){{Information |Description={{en|1=Latex source : \begin{tikzpicture}[description/.style={fill=white,inner sep=2pt}] \matrix(a)[matrix of math nodes, row sep=2em, column sep=2.5em, text height=1.5ex, text depth=0.25ex] { & \pi_1(U_1)\\ \pi_1(U_1\cap U_2)

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