nLab
n-quasicategory

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

Where a quasicategory is a model for the notion of (infinity,1)-category so an nn-quasicategory is a model for the notion of (infinity,n)-category for all nn \in \mathbb{N}.

A definition in terms of cellular sets had originally been suggested by André Joyal. This has then been made to work in terms of a model structure on cellular sets (see there for more details) in (Ara 12).

References

A survey is in

Created on October 8, 2013 at 20:35:19. See the history of this page for a list of all contributions to it.