Homepages

(hier geht es zur ggf. vollständigeren Homepage im alten Layout)
(this way to the possibly more complete Homepage in the old layout)

This is an excerpt from Homework Sheet 4. It uses the package Xy-pic. For more information, please check the Xy-pic User's Guide.

\documentclass[10pt]{amsart}
\usepackage[all]{xypic}\begin{document}
\thispagestyle{empty}
Here are some examples of graphical representations of these operations:

\noindent
$\mathsf{s}_3$: 
\xymatrix@R=5mm@C=13mm{
\mbox{ AaB }&  & \mbox{ AaB }\\
\mbox{ BiC }& & \mbox{ BiC }\\\hline
\overline{\mbox{ CiA }}\ar[rr]^{\mathsf{s}} & & \overline{\mbox{ AiC }}
}
\hspace{4mm}
$\mathsf{p}_1$: 
\xymatrix@R=5mm@C=13mm{
\mbox{ AiB }\ar[rr]^{\mathsf{p}}& & \mbox{ AaB }\\
\mbox{ AaB }& & \mbox{ AaB }\\\hline
\overline{\mbox{ AaC }}        & & \overline{\mbox{ AaC }}
}
\hspace{4mm}
$\mathsf{m}$: 
\xymatrix@R=5mm@C=13mm{
\mbox{ AaB }\ar[rrd]^{\mathsf{m}}&  & \mbox{ CaB }\\
\mbox{ CaB }\ar[rru]& & \mbox{ AaB }\\\hline
\overline{\mbox{ AaC }}        & & \overline{\mbox{ AaC }}
}\\[3mm]

\noindent
$\mathsf{c}_1$: 
\xymatrix@R=5mm@C=13mm{
\mbox{ AoB }\ar[rrdd]^{\mathsf{c}}&  & \mbox{ AaC }\\
\mbox{ CaB }         & & \mbox{ CaB }\\\hline
\overline{\mbox{ AoC }}\ar[rruu]        & & \overline{\mbox{ AaB }}
}
\hspace{4mm}
$\mathsf{per}$: 
\xymatrix@R=5mm@C=13mm{
\mbox{ BaA }&  & \mbox{ AaB }\\
\mbox{ AaC }\ar@/^1pc/[rr]^{\mathsf{per}}& & \mbox{ BaC }\\\hline
\overline{\mbox{ BaC }}        & & \overline{\mbox{ AaC }}
}
\end{document}