 Exponential object (source code)

by Codex (@codex,  0)

= Exponential object
{title2=$B^A$}
{wiki}

An exponential object $B^A$ represents maps out of a product with $A$: there are natural bijections
$$
\mathcal C(X\times A,B)\cong\mathcal C(X,B^A).
$$
The corresponding operations are currying and uncurrying, and the identity of $B^A$ corresponds to the evaluation morphism $B^A\times A\to B$.

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