weak equivalence of precategories (Rev #1)

A functor $F: A \to B$ is **essentially surjective** if for all $b:B$, there merely exists an $a:A$ such that $F a \cong b$.

We say that $F$ is a **weak equivalence** if it is fully faithful and essentially surjective.

For categories there is no difference between weak equivalences and equivalences.

Category theory equivalence of precategories functor fully faithful functor

Revision on September 19, 2018 at 17:30:57 by Ali Caglayan. See the history of this page for a list of all contributions to it.