Algebraic & Geometric Topology

Fibre sequences and localization of simplicial sheaves

Matthias Wendt

Abstract

In this paper, we discuss the theory of quasifibrations 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 results allow a better understanding of unstable $A 1$–homotopy theory.

Article information

Source
Algebr. Geom. Topol., Volume 13, Number 3 (2013), 1779-1813.

Dates
Received: 25 April 2012
Revised: 6 February 2013
Accepted: 12 February 2013
First available in Project Euclid: 19 December 2017

Permanent link to this document
https://projecteuclid.org/euclid.agt/1513715600

Digital Object Identifier
doi:10.2140/agt.2013.13.1779

Mathematical Reviews number (MathSciNet)
MR3071143

Zentralblatt MATH identifier
1276.55020

Citation

Wendt, Matthias. Fibre sequences and localization of simplicial sheaves. Algebr. Geom. Topol. 13 (2013), no. 3, 1779--1813. doi:10.2140/agt.2013.13.1779. https://projecteuclid.org/euclid.agt/1513715600

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