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 language | English |
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Pages (from-to) | 735-774 |
Number of pages | 40 |
Journal | Journal of Homotopy and Related Structures |
Volume | 11 |
Issue number | 4 |
DOIs | |
Publication status | Published - 1 Dec 2016 |
Keywords
- 2-Category
- 2-Functor
- Classifying space
- Grothendieck construction
- Homotopy colimit