Classifying spaces and fibrations of simplicial sheaves
Algebraic Topology
2012-04-25 v3
Abstract
In this paper, we discuss the construction of classifying spaces of fibre sequences in model categories of simplicial sheaves. One construction proceeds via Brown representability and provides a classification in the pointed model category. The second construction is given by the classifying space of the monoid of homotopy self-equivalences of a simplicial sheaf and provides the unpointed classification.
Keywords
Cite
@article{arxiv.1009.2930,
title = {Classifying spaces and fibrations of simplicial sheaves},
author = {Matthias Wendt},
journal= {arXiv preprint arXiv:1009.2930},
year = {2012}
}
Comments
34 pages; minor changes, cleaned bibliography, section on Brown representability now uses only Jardine's result