Homotopy Fibre Sequences Induced by 2-Functors
Category Theory
2010-03-26 v3 Algebraic Topology
Abstract
This paper contains some contributions to the study of the relationship between 2-categories and the homotopy types of their classifying spaces. Mainly, generalizations are given of both Quillen's Theorem B and Thomason's Homotopy Colimit Theorem to 2-functors.
Cite
@article{arxiv.0909.4229,
title = {Homotopy Fibre Sequences Induced by 2-Functors},
author = {Antonio M. Cegarra},
journal= {arXiv preprint arXiv:0909.4229},
year = {2010}
}
Comments
The paper has been improved following referee's sugestions, to which the author would like to express his gratitude.