Convergence of the homology spectral sequence of a cosimplicial space
By adding finite type homology conditions we generalize
previous convergence conditions due to
Bousfield for the homology spectral sequence of a cosimplicial space.
This generalization was motivated by a special case due to Lannes
in his work on the Sullivan conjecture.
We also generalize Dwyer's exotic
convergence results for the classical Eilenberg-Moore spectral sequence
of a fibration.