Cellular approximations and the Eilenberg–Moore spectral sequence
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- 5 July 2009
- journal article
- Published by Mathematical Sciences Publishers in Algebraic & Geometric Topology
- Vol. 9 (3) , 1309-1340
Abstract
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.Keywords
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