vix.ing · top · new · best · stats · spec

On the algebraic classification of K-local spectra

2007/08/22 by Constanze Roitzheim, Roitzheim, Constanze
Mathematics · #18G55 #55N15 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AT #msc:18G55 #msc:55N15

paper · pdf · doi:10.48550/arxiv.0708.3036

arxiv created 2007/08/22 · openalex publication_date 2007/08/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related