1

I would like to have several blocks of centered text and math within pairs of tall curly brackets, linked by arrows, similar to the following picture.

curly braces correspondence

How can I achieve this?

3

You could use parbox

Mathematica graphics

\documentclass{article}
\usepackage{amsmath}
\usepackage[margin=2in]{geometry}    
\begin{document}

\begin{align}
   \aleph : \left\{ \parbox[c]{1.1in}{\centering
                       Nash components\\with respect to X}
            \right\}
            \rightarrow
            \left\{ \parbox[c]{1.1in}{\centering
                       essential divisors\\over X}
            \right\}
\end{align}
is the \itshape{Nash map}.
\end{document}

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