Cellular approximations and the Eilenberg-Moore spectral-sequence
Author:
- Shoham ShamirSSShoham Shamir
Preprint
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
All Related Versions
- Version 1, 2009-03-14, ArXiv
- Published version: Algebraic & Geometric Topology, 9 (3), 1309.
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