Homotopy colimits of 2-functors
Category Theory
2015-04-24 v1 Algebraic Topology
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 to homotopy colimits of 2-functors 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).
Keywords
Cite
@article{arxiv.1504.06114,
title = {Homotopy colimits of 2-functors},
author = {A. M. Cegarra and B. A. Heredia},
journal= {arXiv preprint arXiv:1504.06114},
year = {2015}
}
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32 pages