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arXiv · 1809.10621

Model structures for $(\infty,n)$-categories on (pre)stratified simplicial sets and prestratified simplicial spaces

Viktoriya Ozornova·Martina Rovelli
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Abstract

We prove the existence of a model structure on the category of stratified simplicial sets whose fibrant objects are precisely $n$-complicial sets, which are a proposed model for $(\infty,n)$-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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Viktoriya Ozornova, Martina Rovelli. 2018-09-27. Model structures for $(\infty,n)$-categories on (pre)stratified simplicial sets and prestratified simplicial spaces. https://doi.org/10.2140/agt.2020.20.1543

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