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Image:Equivariant commutative diagram.png - Wikipedia, the free encyclopedia

Image:Equivariant commutative diagram.png

From Wikipedia, the free encyclopedia

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This Math image should be recreated using vector graphics as an SVG file. This has several advantages; see Commons:Images for cleanup for more information. If an SVG form of this image is already available, please upload it. After uploading an SVG, replace this template with template {{SupersededSVG|new image name.svg}} in this image.

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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:
GNU head 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".

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