Homology, Homotopy and Applications

Volume 10 (2008)

Number 1

On the algebraic classification of $K$-local spectra

Pages: 389 – 412

DOI: https://dx.doi.org/10.4310/HHA.2008.v10.n1.a17


Constanze Roitzheim (Department of Pure Mathematics, University of Sheffield, United Kingdom)


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.


stable homotopy theory, model category, Bousfield localisation

2010 Mathematics Subject Classification

55P42, 55P60, 55U35

Published 1 January 2008