File:Categorical pushout (expanded).svg

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

Summary

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

\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

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

14 January 2009

image/svg+xml

071061df24c3c339b5f579174cd13e2ce728942d

254,813 byte

161 pixel

160 pixel

File history

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

Date/TimeThumbnailDimensionsUserComment
current18:59, 14 January 2009Thumbnail for version as of 18:59, 14 January 2009160 × 161 (249 KB)Ryan Reich{{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

The following 2 pages use this file:

Global file usage

The following other wikis use this file: