equality (definitional, propositional, computational, judgemental, extensional, intensional, decidable)
identity type, equivalence of types, definitional isomorphism
isomorphism, weak equivalence, homotopy equivalence, weak homotopy equivalence, equivalence in an (∞,1)-category
Examples.
The identity functor on a category $C$ is the functor $id_C: C \to C$ that maps each object and morphism of $C$ to itself. The identity functors are the identities for composition of functors in Cat.
Last revised on December 1, 2019 at 08:18:30. See the history of this page for a list of all contributions to it.