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Model structures for
$(\infty,n)$–categories on (pre)stratified simplicial sets
and prestratified simplicial spaces
Viktoriya Ozornova and Martina Rovelli |
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Algebraic & Geometric Topology 20 (2020) 1543–1600
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Abstract |
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We prove the existence of a model structure on the category of stratified simplicial sets whose fibrant objects are precisely –complicial sets, which are a proposed model for –categories, based on previous work of Verity and Riehl. We then construct a Quillen equivalent model based on simplicial presheaves over a category that can facilitate the comparison with other established models. |
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Keywords
stratified simplicial sets, complicial sets,
$(\infty,n)$–categories, model categories
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Mathematical Subject Classification 2010
Primary: 18D05, 55U10, 55U35
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References |
Publication
Received: 11 January 2019
Revised: 10 July 2019
Accepted: 26 August 2019
Published: 27 May 2020
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Authors |
| Viktoriya Ozornova | |
| Fakultät für Mathematik Ruhr-University Bochum Bochum Germany |
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| Martina Rovelli | |
| Department of Mathematics Johns Hopkins University Baltimore, MD United States |
Mathematical Sciences
Institute The Australian National University Canberra, ACT Australia |
