fully faithful

A functor $F : A \to B$ is **faithful** if for all $a,b : A$, the function

$F_{a,b} : hom_A(a,b) \to hom_B(F a, F b)$

is injective?, and **full** if for all $a,b : A$ this function is surjective?. If it is both then $F$ is **fully faithful**

category: category theory

Last revised on September 18, 2018 at 12:28:33. See the history of this page for a list of all contributions to it.