# nLab representable 2-category

Contents

### Context

#### $\infty$-Limits

limits and colimits

## (∞,1)-Categorical

### Model-categorical

#### 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

## Idea

A 2-category is representable when it admits pullbacks and cotensors with the interval category. A 2-category has finite limits when it is representable and has a terminal object.

## References

• John Gray, The meeting of the Midwest Category Seminar in Zurich August 24–30, 1970, Lecture Notes in Mathematics, vol 195. Springer 1971, pp. 254–255 (doi:10.1007%2FBFb0072315)

Last revised on September 26, 2021 at 10:00:22. See the history of this page for a list of all contributions to it.