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

Author(s)
Kan, D. M.; Barwick, Clark Edward
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Abstract
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.
Date issued
2013-12
URI
http://hdl.handle.net/1721.1/92424
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Homology, Homotopy and Applications
Publisher
International Press of Boston, Inc.
Citation
Barwick, C., and D. M. Kan. “n-Relative Categories: a Model for the Homotopy Theory of n-Fold Homotopy Theories.” Homology, Homotopy and Applications 15, no. 2 (2013): 281–300.
Version: Original manuscript
ISSN
15320073
15320081
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