Fibre sequences and localization of simplicial sheaves
Algebraic Topology
2014-10-01 v2
Abstract
In this paper, we discuss the theory of quasi-fibrations in proper Bousfield localizations of model categories of simplicial sheaves. We provide a construction of fibrewise localization and use this construction to generalize a criterion for locality of fibre sequences due to Berrick and Dror Farjoun. The result allows a better understanding of unstable A^1-homotopy theory.
Keywords
Cite
@article{arxiv.1011.4784,
title = {Fibre sequences and localization of simplicial sheaves},
author = {Matthias Wendt},
journal= {arXiv preprint arXiv:1011.4784},
year = {2014}
}
Comments
23 pages, completely revised version