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2009 Cellular approximations and the Eilenberg–Moore spectral sequence
Shoham Shamir
Algebr. Geom. Topol. 9(3): 1309-1340 (2009). DOI: 10.2140/agt.2009.9.1309

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. "Cellular approximations and the Eilenberg–Moore spectral sequence." Algebr. Geom. Topol. 9 (3) 1309 - 1340, 2009. https://doi.org/10.2140/agt.2009.9.1309

Information

Received: 13 December 2007; Revised: 17 April 2009; Accepted: 19 April 2009; Published: 2009
First available in Project Euclid: 20 December 2017

zbMATH: 1225.55004
MathSciNet: MR2520402
Digital Object Identifier: 10.2140/agt.2009.9.1309

Subjects:
Primary: 55P43, 55T20

Rights: Copyright © 2009 Mathematical Sciences Publishers

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