#### Volume 11, issue 4 (2007)

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Rigidity and exotic models for the $K$–local stable homotopy category

### Constanze Roitzheim

Geometry & Topology 11 (2007) 1855–1886
##### 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.

##### Keywords
stable homotopy theory, model categories, Bousfield localisation
Primary: 55P42
Secondary: 55P60
##### Publication
Received: 5 April 2007
Revised: 23 August 2007
Accepted: 2 August 2007
Published: 24 September 2007
Proposed: Paul Goerss
Seconded: Haynes Miller, Bill Dwyer
##### Authors
 Constanze Roitzheim Department of Pure Mathematics University of Sheffield Hicks Building Hounsfield Road Sheffield S3 7RH UK http://www.roitzheim.staff.shef.ac.uk/