Mathematische Zeitschrift

, Volume 272, Issue 3, pp 839-868

First online:

Stratifying derived categories of cochains on certain spaces

  • Shoham ShamirAffiliated withDepartment of Mathematics, University of Bergen Email author 

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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