On the algebraic classification of K-local spectra

Roitzheim, Constanze (2008) On the algebraic classification of K-local spectra. Homology, Homotopy and Applications, 10 (1). pp. 389-412. ISSN 1532-0073. (doi:10.4310/hha.2008.v10.n1.a17) (KAR id:30122)

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Abstract

In 1996, Jens Franke proved the equivalence of certain triangulated categories possessing an Adams spectral sequence. One particular application of this theorem is that the K_(p)-local stable

homotopy category at an odd prime can be described as the derived category of an abelian category. We explain this proof from a topologist’s point of view.

Item Type:	Article
DOI/Identification number:	10.4310/hha.2008.v10.n1.a17
Uncontrolled keywords:	Stable homotopy theory, model categories
Subjects:	Q Science > QA Mathematics (inc Computing science) > QA440 Geometry > QA611 Topology > QA612 Algebraic topology
Institutional Unit:	Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences
Former Institutional Unit:	Divisions > Division of Natural Sciences > School of Mathematics Statistics and Actuarial Science Pure Mathematics Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Funders:	Organisations -1 not found.
Depositing User:	Constanze Roitzheim
Date Deposited:	13 Aug 2012 15:44 UTC
Last Modified:	20 May 2025 11:35 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/30122 (The current URI for this page, for reference purposes)

University of Kent Author Information

Roitzheim, Constanze.

Creator's ORCID:	https://orcid.org/0000-0003-3065-0672
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