File:CategoryBraiding-02.png

This math image could be re-created using vector graphics as an SVG file. This has several advantages; see Commons:Media for cleanup for more information. If an SVG form of this image is available, please upload it and afterwards replace this template with {{vector version available|new image name}}. It is recommended to name the SVG file “CategoryBraiding-02.svg”—then the template Vector version available (or Vva) does not need the new image name parameter.

Commuative diagram defining a braided monoidal category.

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.

\begin{diagram}[vtrianglewidth=2.1em,tight]
& & A\otimes (B\otimes C) & & \rTo^{\scriptstyle\gamma} & & (B\otimes C)\otimes A \\
& \ruTo^{\scriptstyle\alpha} & & & & & & \rdTo>{\scriptstyle\alpha} \\
(A\otimes B)\otimes C & & & & & & & & B\otimes (C\otimes A) \\
& \rdTo<{\scriptstyle\gamma\otimes 1} & & & & & & \ruTo>{\scriptstyle 1\otimes\gamma} \\
& & (B\otimes A)\otimes C & & \rTo_{\scriptstyle\alpha} & & B\otimes (A\otimes C) \\
\end{diagram}