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arXiv · 0903.2563

Cellular approximations and the Eilenberg-Moore spectral-sequence

Shoham Shamir
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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.

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Shoham Shamir. 2009-03-14. Cellular approximations and the Eilenberg-Moore spectral-sequence. https://doi.org/10.2140/agt.2009.9.1309

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