Rigidity and exotic models for the K-local stable homotopy category

Roitzheim, C. (2007) Rigidity and exotic models for the K-local stable homotopy category. Geometry and Topology, 11, pp. 1855-1886. (doi: 10.2140/gt.2007.11.1855)

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Can the model structure of a stable model category be recovered from the triangulated structure of its homotopy category? This paper introduces a new positive example for this, namely the K-local stable homotopy at the prime 2. For odd primes, however, this is not true: we discuss a counterexample given by Jens Franke and show how such exotic models for the K-local stable homotopy category at odd primes can be detected.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Roitzheim, Dr Constanze
Authors: Roitzheim, C.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Geometry and Topology
Publisher:University of Warwick
ISSN (Online):1364-0380
Copyright Holders:Copyright © 2007 University of Warwick
First Published:First published in Geometry and Topology 11:1855-1886
Publisher Policy:Reproduced with the permission of the publisher

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
439941Rigidity theorems in stable homotopy theoryAndrew BakerEngineering & Physical Sciences Research Council (EPSRC)EP/E023495/1M&S - MATHEMATICS