Fibre sequences and localization of simplicial sheaves
arXiv:1011.4784 · doi:10.2140/agt.2013.13.1779
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.
23 pages, completely revised version