Cellular approximations and the Eilenberg-Moore spectral-sequence

Details Cellular approximations and the Eilenberg-Moore spectral-sequence Cellular approximations and the Eilenberg-Moore spectral-sequence

2009-03-14

arxiv.org/abs/0903.2563v1

Mathematics

Algebraic Topology

35 pages

Scientific paper

10.2140/agt.2009.9.1309

We set up machinery for recognizing k-cellular modules and k-cellular approximations, where k is an R-module and R is either a ring or a ring-spectrum. Using this machinery we can identify the target of the Eilenberg-Moore cohomology spectral sequence for a fibration in various cases. In this manner we get new proofs for known results concerning the Eilenberg-Moore spectral sequence and generalize another result.

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