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

Roitzheim, Constanze¹

¹ Department of Pure Mathematics, University of Sheffield, Hicks Building, Hounsfield Road, Sheffield, S3 7RH, UK

Geometry & topology, Tome 11 (2007) no. 4, pp. 1855-1886.

Résumé

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.

Détail

DOI : 10.2140/gt.2007.11.1855

Keywords: stable homotopy theory, model categories, Bousfield localisation

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