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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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.
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Homology, Homotopy and Applications
International Press of Boston, Inc.
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.