File:Lax monoidal funct assoc.png

Summary

Description
English: Coherence law for associativity of lax monoidal functors
Date 24 March 2006 (original upload date)
Source Transferred from en.wikipedia to Commons.
Author Smimram at English Wikipedia

TeX source

\documentclass{article}
\usepackage{xy}
\xyoption{all}

\newcommand{\C}{\mathcal C}
\newcommand{\D}{\mathcal D}

\begin{document}
\thispagestyle{empty}
\[
\xymatrix{
    (FA\bullet FB)\bullet FC\ar[d]_{\phi_{A,B}\bullet 1}\ar[r]^{\alpha_\D}&FA\bullet(FB\bullet FC)\ar[d]^{1\bullet\phi_{B,C}}\\
    F(A\otimes B)\bullet FC\ar[d]_{\phi_{A\otimes B,C}}&FA\bullet F(B\otimes C)\ar[d]^{\phi_{A,B\otimes C}}\\
    F((A\otimes B)\otimes C)\ar[r]_{F\alpha_\C}&F(A\otimes(B\otimes C))
}
\]
\end{document}

Licensing

Public domain This work has been released into the public domain by its author, Smimram at English Wikipedia. This applies worldwide.
In some countries this may not be legally possible; if so:
Smimram grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.
Category:PD-user#Lax%20monoidal%20funct%20assoc.png

Original upload log

The original description page was here. All following user names refer to en.wikipedia.
  • 2006-03-24 20:23 Smimram 364×199× (8519 bytes) Coherence law for associativity of lax monoidal functors
Category:Images with LaTeX source code Category:Category theory
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