n-relative categories: a model for the homotopy theory of n-fold homotopy theories
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Barwick_N-relative.pdf
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218.94 KB
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2ee36ff8651ed0365b174ff6a5735af4
Author(s)
Kan, D. M.
Barwick, Clark Edward
Date Issued
December 2013
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.4310/HHA.2013.v15.n2.a17
