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.

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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 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 15:44 UTC 12 Feb 2020 04:04 UTC https://kar.kent.ac.uk/id/eprint/30122 (The current URI for this page, for reference purposes) https://orcid.org/0000-0003-3065-0672