Fibre sequences and localization of simplicial sheaves

Details Fibre sequences and localization of simplicial sheaves Fibre sequences and localization of simplicial sheaves

2010-11-22

arxiv.org/abs/1011.4784v2

Mathematics

Algebraic Topology

23 pages, completely revised version

Scientific paper

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.

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