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. (Contributor), Barwick, Clark Edward (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: International Press of Boston, Inc., 2014-12-19T21:07:03Z.
Subjects:
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