A colocalization spectral sequence

Details A colocalization spectral sequence A colocalization spectral sequence

2009-10-27

arxiv.org/abs/0910.5251v1

Mathematics

Algebraic Topology

29 pages

Scientific paper

Colocalization is a right adjoint to the inclusion of a subcategory. Given a ring-spectrum R, one would like a spectral sequence which connects a given colocalization in the derived category of R-modules and an appropriate colocalization in the derived category of graded modules over the graded ring of homotopy groups of R. We show that, under suitable conditions, such a spectral sequence exists. This generalizes the local-cohomology spectral sequence of Dwyer, Greenlees and Iyengar. Some applications are presented.

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