# Rigidity and Exotic Models for the K-local Stable Homotopy Category

Roitzheim, Constanze (2007) Rigidity and Exotic Models for the K-local Stable Homotopy Category. Geometry & Topology, 11 (1). pp. 1855-1886. ISSN 1364-0380. (doi:10.2140/gt.2007.11.1855)

PDF - Author's Accepted Manuscript
 Preview
Official URL
http://dx.doi.org/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: Article 10.2140/gt.2007.11.1855 Stable homotopy theory, model categories Q Science > QA Mathematics (inc Computing science) > QA440 Geometry > QA611 Topology > QA612 Algebraic topology Faculties > Sciences > School of Mathematics Statistics and Actuarial ScienceFaculties > Sciences > School of Mathematics Statistics and Actuarial Science > Pure Mathematics Constanze Roitzheim 13 Aug 2012 15:36 UTC 12 Feb 2020 04:04 UTC https://kar.kent.ac.uk/id/eprint/30121 (The current URI for this page, for reference purposes) https://orcid.org/0000-0003-3065-0672