File:Categorical pushout (expanded).svg

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Original file ‎(SVG file, nominally 160 × 161 pixels, file size: 249 KB)

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Summary

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Description
English: A diagram depicting the universal property of the categorical pushout of two maps.
Date
Source Own work
Author Ryan Reich
Other versions File:CategoricalPushout-02.png

LaTeX source

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\documentclass{amsart}
\usepackage{amsmath,amssymb,nopageno}
\usepackage[all]{xy}
\begin{document}
 \begin{equation*}
  \xymatrix@C+2em@R+2em{
   Q \ar@/_10pt/@{<-}[ddr]_{j_1} \ar@/^10pt/@{<-}[drr]^{j_2}
     \ar@{<--}[dr]|*+<3pt,3pt>{\scriptstyle u} & & \\
   & P \ar@{<-}[d]_(0.4){i_1} \ar@{<-}[r]^(0.4){i_2} & Y \ar@{<-}[d]^{g}\\
   & X \ar@{<-}[r]_{f} & Z
  }
 \end{equation*}
\end{document}

Licensing

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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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Date/TimeThumbnailDimensionsUserComment
current18:59, 14 January 2009Thumbnail for version as of 18:59, 14 January 2009160 × 161 (249 KB)Ryan Reich (talk | contribs){{Information |Description={{en|1=A diagram depicting the universal property of the categorical pushout of two maps.}} |Source=Own work by uploader |Author=Ryan Reich |Date=01-14-2009 |Permission= |other_versions=[[:File:CategoricalPus

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