A MODEL STRUCTURE ON INTERNAL CATEGORIES IN SIMPLICIAL SETS

被引：0

作者：

Horel, Geoffroy ^{[1
]}

机构：

[1] Math Inst, D-48149 Munster, Germany

来源：

THEORY AND APPLICATIONS OF CATEGORIES | 2015年 / 30卷

关键词：

internal categories; complete Segal spaces; infinity categories; HOMOTOPY-THEORY; QUASI-CATEGORIES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We put a model structure on the category of categories internal to simplicial sets. The weak equivalences in this model structure are preserved and reflected by the nerve functor to bisimplicial sets with the complete Segal space model structure. This model structure is shown to be a model for the homotopy theory of infinity categories. We also study the homotopy theory of internal presheaves over an internal category.

引用

页码：704 / 750

页数：47

共 21 条

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