Cellular approximations and the Eilenberg-Moore spectral-sequence
Algebraic Topology
2014-10-01 v1
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
Cite
@article{arxiv.0903.2563,
title = {Cellular approximations and the Eilenberg-Moore spectral-sequence},
author = {Shoham Shamir},
journal= {arXiv preprint arXiv:0903.2563},
year = {2014}
}
Comments
35 pages