# nLab (2,1)-functor

Contents

### Context

#### 2-Category theory

2-category theory

## Structures on 2-categories

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

(∞,1)-category theory

# 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. See the history of this page for a list of all contributions to it.