Jump to content

File:VanKampen-01.png

Page contents not supported in other languages.
This is a file from the Wikimedia Commons
From Wikipedia, the free encyclopedia

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

This math image could be re-created using vector graphics as an SVG file. This has several advantages; see Commons:Media for cleanup for more information. If an SVG form of this image is available, please upload it and afterwards replace this template with {{vector version available|new image name}}.


It is recommended to name the SVG file “VanKampen-01.svg”—then the template Vector version available (or Vva) does not need the new image name parameter.

Summary

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

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.

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current09:49, 12 February 2010Thumbnail for version as of 09:49, 12 February 20101,628 × 422 (52 KB)Vincent Semeria{{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)

The following page uses this file:

Global file usage

The following other wikis use this file: