<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">\documentclass{ppex}
\nonstopmode
\usepackage [arrow,matrix,tips]{xy}
\pagestyle{empty}
\setlength\textwidth{207.0pt}
\begin{document}
\ResetPreambleCommands
\ReadyForTheFray
\usepackage [arrow,matrix,tips]{xy}
\[\UseTips
\newdir{ &gt;}{!/-5pt/\dir{&gt;}}
\xymatrix @=1pc @*[r] @*[o] {
  &amp; \Sigma^L \ar[rrrr]^{\varphi^r}
             \ar'[d]'[ddd]_{\varphi^m}[dddd]
  &amp; &amp; &amp; &amp; \Sigma^R \ar[dddd]^{\varphi^{m^*}}
\\ L   \ar[ur]^{\lambda^L}
  &amp; &amp; L_r \ar@{ &gt;-&gt;}[ll]_(.32){i_1} \ar[rr]^r
  &amp; &amp; R \ar[ur]_{\lambda^R}
\\ \\
   L_m \ar@{ &gt;-&gt;}[uu]^{i_2} \ar[dd]_m
  &amp; &amp; K_{r,m} \ar@{ &gt;-&gt;}[ll]_(.3){i_3}
              \ar@{ &gt;-&gt;}[uu]_{i_4}
              \ar[dd]_&lt;&lt;&lt;&lt;m \ar[rr]^r
  &amp; &amp; R_{m^*} \ar@{ &gt;-&gt;}[uu]_{i_6}
              \ar[dd]_&lt;&lt;&lt;&lt;{m^*}
\\  &amp;  \Sigma^G
         \ar'[r]'[rrr]_{\varphi^{r^*}}[rrrr]
  &amp; &amp; &amp; &amp; \Sigma^H
\\ G \ar[ur]^(.7){\lambda^G}
  &amp; &amp; G_{r^*} \ar@{ &gt;-&gt;}[ll]^{i_5}
              \ar[rr]_{r^*}
  &amp; &amp; H \ar@{.&gt;}[ur]_{\lambda^H}
}\]
\end{document}
</pre></body></html>