# nLab locally fully faithful 2-functor

### Context

#### 2-Category theory

2-category theory

# Contents

## Definition

A 2-functor $F\colon C \to D$ is locally fully faithful if each functor on hom-categories

$F \colon C(x,y) \to D(F x, F y)$

Last revised on March 10, 2012 at 15:22:06. See the history of this page for a list of all contributions to it.