Skip to main content

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) (KAR id:30121)

PDF Author's Accepted Manuscript
Language: English
Download (297kB) Preview
[thumbnail of roitzheim_krigid_gt.pdf]
This file may not be suitable for users of assistive technology.
Request an accessible format
Official URL:


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
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
Depositing User: Constanze Roitzheim
Date Deposited: 13 Aug 2012 15:36 UTC
Last Modified: 16 Nov 2021 10:08 UTC
Resource URI: (The current URI for this page, for reference purposes)
Roitzheim, Constanze:
  • Depositors only (login required):


Downloads per month over past year