Algebraic & Geometric Topology 9 (2009) 1309–1340

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.

Keywords

Eilenberg–Moore spectral sequence

Mathematical Subject Classification

Primary: 55P43, 55T20

References

Publication

Received: 13 December 2007
Revised: 17 April 2009
Accepted: 19 April 2009
Published: 5 July 2009

Authors