English

A note on cohomological localization

Category Theory 2007-05-23 v1 K-Theory and Homology

Abstract

Given a cohomological functor from a triangulated category to an abelian category, we construct under appropriate assumptions for any localization functor of the abelian category a lift to a localization functor of the triangulated category. This discussion of Bousfield localization is combined with a basic introduction to the concept of localization for arbitrary categories.

Keywords

Cite

@article{arxiv.math/0611101,
  title  = {A note on cohomological localization},
  author = {Henning Krause},
  journal= {arXiv preprint arXiv:math/0611101},
  year   = {2007}
}

Comments

8 pages; based on joint work with Dave Benson and Srikanth Iyengar