-
Convergence of the homology spectral sequence of a cosimplicial space
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 118, Number 1, February 1996
- pp. 179-207
- 10.1353/ajm.1996.0004
- Article
- Additional Information
We produce new convergence conditions for the homology spectral sequence of a cosimplicial space by requiring that each codegree of the cosimplicial space has finite type mod p homology. Specifically, we find conditions which ensure strong convergence if and only if the total space has p-good components. We also find exotic convergence conditions for cosimplicial spaces not covered by the strong convergence conditions. These results give new convergence conditions, for example, for the Eilenberg-Moore spectral sequence and for mapping spaces.