A Quillen adjunction between globular and complicial approaches to (?, n)-categories

被引：1

作者：

Ozornova, Viktoriya ^{[1
]}

Rovelli, Martina ^{[2
]}

机构：

[1] Max Planck Inst Math, Bonn, Germany

[2] Univ Massachusetts Amherst, Dept Math & Stat, Amherst, MA 01003 USA

来源：

ADVANCES IN MATHEMATICS | 2023年 / 421卷

基金：

美国国家科学基金会;

关键词：

(? n)-categories; n-categories; Complicial sets; Complete Segalen-spaces; Suspension of n-categories; Complicial nerve; QUASI-CATEGORIES; (INFINITY; SETS;

D O I：

10.1016/j.aim.2023.108980

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the compatibility between the suspension construc-tion and the complicial nerve of omega-categories. As a motivating application, we produce a Quillen pair between the models of (infinity, n)-categories given by Rezk's complete Segal en-spaces and Verity's n-complicial sets. (c) 2023 Elsevier Inc. All rights reserved.

引用

页数：57