Homotopy colimits of 2-functors

A. M. Cegarra, B. A. Heredia

Research output: Contribution to journalArticle

Abstract

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).

Original languageEnglish
Pages (from-to)735-774
Number of pages40
JournalJournal of Homotopy and Related Structures
Volume11
Issue number4
DOIs
Publication statusPublished - 1 Dec 2016

Keywords

  • 2-Category
  • 2-Functor
  • Classifying space
  • Grothendieck construction
  • Homotopy colimit

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