identity natural transformation

The **identity natural transformation** on a functor $F: C \to D$ is the natural transformation $id_F: F \to F$ that maps each object $x$ of $C$ to the identity morphism $id_{F(x)}$ in $D$. The identity natural transformations are the identities for vertical composition of natural transformations in the functor category $D^C$ and in the 2-category Cat.

Last revised on December 14, 2009 at 04:08:10. See the history of this page for a list of all contributions to it.