n-relative categories: a model for the homotopy theory of n-fold homotopy theories

We introduce, for every integer n ≥ 1, the notion of an n-relative category and show that the category of the small n-relative categories is a model for the homotopy theory of n-fold homotopy theories, i.e., homotopy theories of… homotopy theories.

Bibliographic Details
Main Authors: Kan, D. M., Barwick, Clark Edward
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: International Press of Boston, Inc. 2014
Online Access:http://hdl.handle.net/1721.1/92424