# nLab reflective sub-2-category

### Context

#### 2-Category theory

2-category theory

# Contents

## Idea

The analog in 2-category theory of the notion of reflective subcategory in category theory.

## Definition

A full and faithful 2-functor $C \hookrightarrow D$ is said to exhibit $C$ as a reflective sub-2-category of $D$ if it has a left adjoint 2-functor.

Created on March 16, 2012 06:42:47 by Urs Schreiber (82.169.65.155)