English

On the algebraic classification of K-local spectra

Algebraic Topology 2007-08-23 v1

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.

Keywords

Cite

@article{arxiv.0708.3036,
  title  = {On the algebraic classification of K-local spectra},
  author = {Constanze Roitzheim},
  journal= {arXiv preprint arXiv:0708.3036},
  year   = {2007}
}
R2 v1 2026-06-21T09:09:43.398Z