, Volume 272, Issue 3-4, pp 839-868
Date: 23 Nov 2011

Stratifying derived categories of cochains on certain spaces

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access


In recent years, Benson, Iyengar and Krause have developed a theory of stratification for compactly generated triangulated categories with an action of a graded commutative Noetherian ring. Stratification implies a classification of localizing and thick subcategories in terms of subsets of the prime ideal spectrum of the given ring. In this paper two stratification results are presented: one for the derived category of a commutative ring-spectrum with polynomial homotopy and another for the derived category of cochains on certain spaces. We also give the stratification of cochains on a space a topological content.