Fibrations of topological stacks
Algebraic Topology
2010-10-11 v1
Abstract
In this note we define fibrations of topological stacks and establish their main properties. We prove various standard results about fibrations (fiber homotopy exact sequence, Leray-Serre and Eilenberg-Moore spectral sequences, etc.). We prove various criteria for a morphism of topological stacks to be a fibration, and use these to produce examples of fibrations. We prove that every morphism of topological stacks factors through a fibration and construct the homotopy fiber of a morphism of topological stacks. When restricted to topological spaces our notion of fibration coincides with the classical one.
Cite
@article{arxiv.1010.1748,
title = {Fibrations of topological stacks},
author = {Behrang Noohi},
journal= {arXiv preprint arXiv:1010.1748},
year = {2010}
}
Comments
25 pages