BROWN CATEGORIES AND BICATEGORIES

被引：4

作者：

Horel, Geoffroy ^{[1
]}

机构：

[1] Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany

来源：

HOMOLOGY HOMOTOPY AND APPLICATIONS | 2016年 / 18卷 / 02期

关键词：

relative category; infinity-category; localization; Brown category; Tamsamani category; HOMOTOPY-THEORY; LOCALIZATION; MODEL; EQUIVALENCES;

D O I：

10.4310/HHA.2016.v18.n2.a12

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In a Brown category of cofibrant objects, there is a model for the mapping spaces of the hammock localization in terms of zig-zags of length 2. In this paper we show how to assemble these spaces into a Segal category that models the infinity-categorical localization of the Brown category.

引用

页码：217 / 232

页数：16

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