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)

Abstract

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
• Status: Published
• Refereed: Yes
• 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: 1465-3060
• 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

Project Code	Award No	Project Name	Principal Investigator	Funder's Name	Funder Ref	Lead Dept
43994	1	Rigidity theorems in stable homotopy theory	Andrew Baker	Engineering & Physical Sciences Research Council (EPSRC)	EP/E023495/1	M&S - MATHEMATICS