Homotopy colimits of 2-functors

被引：0

作者：

Cegarra, A. M. ^{[1
]}

Heredia, B. A. ^{[2
,3
]}

机构：

[1] Univ Granada, Dept Algebra, E-18071 Granada, Spain

[2] Univ Nova Lisboa, Dept Matemat, FCT, Lisbon, Portugal

[3] Univ Nova Lisboa, Centro Matemat & Aplicaces, FCT, Lisbon, Portugal

来源：

JOURNAL OF HOMOTOPY AND RELATED STRUCTURES | 2016年 / 11卷 / 04期

关键词：

2-Category; 2-Functor; Classifying space; Grothendieck construction; Homotopy colimit; CLASSIFYING-SPACES; MODEL STRUCTURE; FIBER SEQUENCES; BICATEGORIES; 2-CATEGORIES; CATEGORIES; DIAGRAMS; THOMASON;

D O I：

10.1007/s40062-016-0150-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Like categories, small 2-categories have well-understood classifying spaces. In this paper, we deal with homotopy types represented by 2-diagrams of 2-categories. Our results extend lower categorical analogues that have been classically used in algebraic topology and algebraic K-theory, such as the homotopy invariance theorem (by Bousfield and Kan), the homotopy colimit theorem (Thomason), Theorems A and B (Quillen), or the homotopy cofinality theorem (Hirschhorn).

引用

页码：735 / 774

页数：40

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