# nLab coevaluation map

If $(\mathcal{C}, \otimes)$ is a monoidal category and $X \in \mathcal{C}$ a dualizable object with dual object $X^\ast$, the structure morphism

$\mathbb{I} \to X \otimes X^\ast$

is also called the coevaluation map, in contrast to the other structure map

$X^\ast \otimes X \to \mathbb{I}$

which is the evaluation map.

Created on April 27, 2013 at 00:07:08. See the history of this page for a list of all contributions to it.