# nLab locally fully faithful 2-functor

Contents

### Context

#### 2-Category theory

2-category theory

Definitions

Transfors between 2-categories

Morphisms in 2-categories

Structures in 2-categories

Limits in 2-categories

Structures on 2-categories

# 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 May 27, 2020 at 12:32:21. See the history of this page for a list of all contributions to it.