A survey of models for $(\infty ,n)$-categories

Abstract

We give describe several models for $(\infty ,n)$-categories, with an emphasis on models given by diagrams of sets and simplicial sets. We look most closely at the cases when $n\le 2$, then summarize methods of generalizing for all $n$.

29 pages. Written for the Handbook of Homotopy Theory

References in corpus (3)

• Higher Topos Theory
• Segal-type algebraic models of n-types
• On the homotopy theory of Grothendieck \infty-groupoids