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arXiv · 1011.4784

Fibre sequences and localization of simplicial sheaves

Matthias Wendt
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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.

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Matthias Wendt. 2012-04-24. Fibre sequences and localization of simplicial sheaves. https://doi.org/10.2140/agt.2013.13.1779

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