#### Volume 20, issue 3 (2020)

 Recent Issues
 The Journal About the Journal Editorial Board Editorial Interests Subscriptions Submission Guidelines Submission Page Policies for Authors Ethics Statement ISSN (electronic): 1472-2739 ISSN (print): 1472-2747 Author Index To Appear Other MSP Journals
Model structures for $(\infty,n)$–categories on (pre)stratified simplicial sets and prestratified simplicial spaces

### Viktoriya Ozornova and Martina Rovelli

Algebraic & Geometric Topology 20 (2020) 1543–1600
##### 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 $\left(\infty ,n\right)$–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.

However, your active subscription may be available on Project Euclid at
https://projecteuclid.org/agt

We have not been able to recognize your IP address 18.207.133.27 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

or by using our contact form.

stratified simplicial sets, complicial sets, $(\infty,n)$–categories, model categories