A simple example of a commutative diagram using TikZ, short and readable. It has been posted as answer to the question Commutative Diagrams and TikZ of Elias.
Note the (m-2-1.east|-m-2-2) syntax for getting a horizontal arrow between cells of a different height.
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% A simple commutative diagram
% Stefan Kottwitz
\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{matrix}
\begin{document}
\begin{tikzpicture}
\matrix (m) [matrix of math nodes,row sep=3em,column sep=4em,minimum width=2em]
{
F_t(x) & F(x) \\
A_t & A \\};
\path[-stealth]
(m-1-1) edge node [left] {$\mathcal{B}_X$} (m-2-1)
edge [double] node [below] {$\mathcal{B}_t$} (m-1-2)
(m-2-1.east|-m-2-2) edge node [below] {$\mathcal{B}_T$}
node [above] {$\exists$} (m-2-2)
(m-1-2) edge node [right] {$\mathcal{B}_T$} (m-2-2)
edge [dashed,-] (m-2-1);
\end{tikzpicture}
\end{document}
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