File:Categorical pullback (expanded).svg

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Original file(SVG file, nominally 160 × 161 pixels, file size: 250 KB)

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Summary

Description
English: A commutative diagram expressing the universal property of a categorical pullback.
Date
Source Own work
Author Ryan Reich
Other versions File:CategoricalPullback-02.png

LaTeX source

\documentclass{amsart}
\usepackage{amsmath,amssymb,nopageno}
\usepackage[all]{xy}
\begin{document}
 \begin{equation*}
  \xymatrix@C+2em@R+2em{
   Q \ar@/_10pt/[ddr]_{q_1} \ar@/^10pt/[drr]^{q_2} \ar@{-->}[dr]|*+<3pt,3pt>{\scriptstyle u} & & \\
   & P \ar[d]_(0.4){p_1} \ar[r]^(0.4){p_2} & Y \ar[d]^{g}\\
   & X \ar[r]_{f} & Z
  }
 \end{equation*}
\end{document}

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.

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14 January 2009

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0e3bd02e69572b2a0de141d785b27bcf3ff4ab6a

255,722 byte

161 pixel

160 pixel

File history

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Date/TimeThumbnailDimensionsUserComment
current20:34, 14 January 2009Thumbnail for version as of 20:34, 14 January 2009160 × 161 (250 KB)wikimediacommons>Ryan Reich{{Information |Description={{en|1=A commutative diagram expressing the universal property of a categorical pullback.}} |Source=Own work by uploader |Author=Ryan Reich |Date=01-14-2009 |Permission= |other_versions=[[:File:CategoricalPul

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