Mathematische Zeitschrift

, Volume 272, Issue 3–4, pp 839–868 | Cite as

Stratifying derived categories of cochains on certain spaces

Article

Abstract

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.

Keywords

Localizing subcategory Thick subcategory Localization Spherical fibration 

Mathematics Subject Classification (2000)

55P43 18E30 

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Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of BergenBergenNorway

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