Mathematische Zeitschrift

, Volume 272, Issue 3–4, pp 839–868

Stratifying derived categories of cochains on certain spaces


DOI: 10.1007/s00209-011-0960-1

Cite this article as:
Shamir, S. Math. Z. (2012) 272: 839. doi:10.1007/s00209-011-0960-1


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.


Localizing subcategory Thick subcategory Localization Spherical fibration 

Mathematics Subject Classification (2000)

55P43 18E30 

Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of BergenBergenNorway

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