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) (KAR id:30121)
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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 |
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DOI/Identification number: | 10.2140/gt.2007.11.1855 |
Uncontrolled keywords: | Stable homotopy theory, model categories |
Subjects: | Q Science > QA Mathematics (inc Computing science) > QA440 Geometry > QA611 Topology > QA612 Algebraic topology |
Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
Funders: | [UNSPECIFIED] EPSRC |
Depositing User: | Constanze Roitzheim |
Date Deposited: | 13 Aug 2012 15:36 UTC |
Last Modified: | 16 Nov 2021 10:08 UTC |
Resource URI: | https://kar.kent.ac.uk/id/eprint/30121 (The current URI for this page, for reference purposes) |
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