nLab
identity natural transformation

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

Revised on December 14, 2009 04:08:10 by Toby Bartels (173.60.119.197)