#### Volume 9, issue 3 (2009)

 Recent Issues
 The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Author Index To Appear ISSN (electronic): 1472-2739 ISSN (print): 1472-2747
Cellular approximations and the Eilenberg–Moore spectral sequence

### Shoham Shamir

Algebraic & Geometric Topology 9 (2009) 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
Eilenberg–Moore spectral sequence
##### Mathematical Subject Classification 2000
Primary: 55P43, 55T20