nLab
tetracategory

Contents

Context

Higher category theory

higher category theory

Basic concepts

Basic theorems

Applications

Models

Morphisms

Functors

Universal constructions

Extra properties and structure

1-categorical presentations

Contents

Idea

Tetracategories are the algebraic definition of higher category for the most general (i.e. weak) 4-categories.

Properties

By the discussion at k-tuply monoidal (n,r)-category a tetracategory with a single object may be regarded as the delooping of a monoidal tricategory. This is discussed in (Hoffnung).

References

The structure of a tetracategories was given by Todd Trimble.

A polished writeup of the definition appears in section 3.2 of

Last revised on May 19, 2012 at 14:09:35. See the history of this page for a list of all contributions to it.