#
nLab

(2,1)-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

#### $(\infty,1)$-Category theory

**(∞,1)-category theory**

## Background

## Basic concepts

## Universal constructions

## Local presentation

## Theorems

## Models

# Contents

## Idea

The concept of *$(2,1)$-functors* is that of the natural kind of morphisms between (2,1)-categories.

If (2,1)-categories are regarded as special cases of 2-categories, then $(2,1)$-functors are equivalently the 2-functors between (2,1)-categories.

If (2,1)-categories are regarded as special cases of (∞,1)-categories, then $(2,1)$-functors are equivalently the (∞,1)-functors between (2,1)-categories.

## Examples

Last revised on August 30, 2018 at 09:34:13.
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