nLab
identity functor

Context

Category theory

Equality and Equivalence

Contents

Idea

The identity functor on a category CC is the functor id C:CCid_C: C \to C that maps each object and morphism of CC to itself. The identity functors are the identities for composition of functors in Cat.

Revised on July 2, 2017 09:24:14 by Urs Schreiber (88.77.226.246)