Homotopy Type Theory
fully faithful (changes)

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Idea

Definition

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

See also

Category theory functor equivalence of precategories

References

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.