The enriched Thomason model structure on 2-categories

被引:0
|
作者
Pavlov, Dmitri [1 ]
机构
[1] Texas Tech Univ, Dept Math & Stat, Lubbock, TX 79409 USA
关键词
HOMOTOPY-THEORY; CATEGORIES; ALGEBRAS; MODULES;
D O I
10.1016/j.jpaa.2023.107496
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove that categories enriched in the Thomason model structure admit a model structure that is Quillen equivalent to the Bergner model structure on simplicial categories, providing a new model for (infinity, 1)-categories. Along the way, we construct model structures on modules and monoids in the Thomason model structure and prove that any model structure on the category of small categories that has the same weak equivalences as the Thomason model structure is not a cartesian model structure. This paper is also available as arXiv :2208 .02954v4.(c) 2023 Published by Elsevier B.V.
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页数:23
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