## Geometry & Topology

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

Constanze Roitzheim

#### 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.

#### Article information

Source
Geom. Topol., Volume 11, Number 4 (2007), 1855-1886.

Dates
Revised: 23 August 2007
Accepted: 2 August 2007
First available in Project Euclid: 20 December 2017

https://projecteuclid.org/euclid.gt/1513799976

Digital Object Identifier
doi:10.2140/gt.2007.11.1855

Mathematical Reviews number (MathSciNet)
MR2350470

Zentralblatt MATH identifier
1142.55007

Subjects
Primary: 55P42: Stable homotopy theory, spectra
Secondary: 55P60: Localization and completion

#### Citation

Roitzheim, Constanze. Rigidity and exotic models for the $K$–local stable homotopy category. Geom. Topol. 11 (2007), no. 4, 1855--1886. doi:10.2140/gt.2007.11.1855. https://projecteuclid.org/euclid.gt/1513799976

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