Image:Equivariant commutative diagram.png

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A commutative diagram defining equivariance. David Benbennick made this image with the following LaTeX program:

%&latex
\documentclass{article}
 \usepackage[matrix,arrow,ps]{xy}
 \UsePSspecials{dvips}
 \pagestyle{empty}

\begin{document}
 \[
 \xymatrix{
 X \ar@{->}[rr]^{\displaystyle g\cdot} \ar@{->}[dd]_{\displaystyle f}
      && X \ar@{->}[dd]^{\displaystyle f}    \\ \\
 Y \ar@{->}[rr]_{\displaystyle g\cdot} && Y
 }
 \]
\end{document}

To make the image, save the above code as Equivariant_commutative_diagram.tex, then run the following commands:

tex Equivariant_commutative_diagram
dvips -mode ljfzzz -D 1200 Equivariant_commutative_diagram -o
convert -density 1200 Equivariant_commutative_diagram.ps Equivariant_commutative_diagram.pnm
pnmcrop Equivariant_commutative_diagram.pnm | pnmtopng > Equivariant_commutative_diagram.png.uncrush
pngcrush Equivariant_commutative_diagram.png.uncrush Equivariant_commutative_diagram.png

I, the author of this work, hereby publish it under the following licenses: Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled "GNU Free Documentation License". العربية | Asturianu | Български | বাংলা | ইমার ঠার | Brezhoneg | Bosanski | Català | Sinugboanong Binisaya | Česky | Dansk | Deutsch | Ελληνικά | English | Esperanto | Español | Eesti | Euskara | فارسی | Suomi | Français | Galego | עברית | Hrvatski | Magyar | Bahasa Indonesia | Ido | Íslenska | Italiano | 日本語 | ქართული | 한국어 | Kurdî / كوردي | Latina | Lëtzebuergesch | Lietuvių | Bahasa Melayu | Nnapulitano | Nederlands | Norsk (nynorsk) | Norsk (bokmål) | Polski | Português | Română | Русский | Slovenčina | Slovenščina | Shqip | Српски | Svenska | తెలుగు | ไทย | Türkçe | Українська | اردو | Tiếng Việt | Volapük | 中文(简体) | 中文(繁體) | +/- This file is licensed under Creative Commons Attribution ShareAlike 2.0 License. In short: you are free to share and make derivative works of the file under the conditions that you appropriately attribute it, and that you distribute it only under a license identical to this one. You may select the license of your choice.