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

 Recent Issues
 The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Author Index To Appear ISSN (electronic): 1364-0380 ISSN (print): 1465-3060
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