%% diag-s3.tex, version 30/05/22
%% to LaTeX typeset use <shift><command>L
%% to run BibDesk use: <shift><command>B
\documentclass[11pt,a4paper]{article}
\usepackage[utf8]{inputenc}
%\usepackage{latexsym,amssymb,amsmath,enumerate,theorem}
\usepackage[all]{xy}
\setlength{\textwidth}{11cm}
\setlength{\textheight}{9cm}
\setlength{\topmargin}{0pt}
\setlength{\headsep}{0pt}
\setlength{\headheight}{0pt}
\setlength{\oddsidemargin}{0pt}
\setlength{\evensidemargin}{0pt}
\thispagestyle{empty}
%\input{newcomm} %%% file of \newcommand's
\begin{document}
% p.29
$$
\xy
\xymatrix{
& & & & gf \ar@{-->}@/_2ex/[dd]^(0.6){g} \ar@{-->}[ddddddrrrr]_{f}
& & & & \\
& & & & & & & & \\
& & & & F \ar[llddd]^{f} \ar@{-->}@/_2ex/[uu]^(0.6){g}
& & & & \\
& & & & & & & & \\
& & & & & & & & \\
& & {\rm id} \ar[rrrr]^{f} \ar@/_2ex/[lld]^(0.6){g}
& & & & f \ar@{-->}[lluuu]^{f} \ar@/_2ex/[rrd]^(0.6){g}
& & \\
g \ar[uuuuuurrrr]^{f} \ar@{-->}@/_2ex/[rru]^(0.6){g}
& & & & & & & & fg \ar@{-->}[llllllll]^{f} \ar@{-->}@/_2ex/[llu]^(0.6){g}\\
}
\endxy
$$
\end{document}
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