@inproceedings{Mahowald2001THETE,
title={THE THOMIFIED EILENBERG-MOORE SPECTRAL SEQUENCE},
author={Mark E. Mahowald and Douglas C. Ravenel and Paul C. Shick},
year={2001}
}

where Xs+1 is the fiber of gs. We get an exact couple of homotopy groups and a spectral sequence with E 1 = πt−s(Ks) and dr : E s,t r → Es+r,t+r−1 r . This spectral sequence converges to π∗(X) (where X = X0) if the homotopy inverse limit lim←Xs is contractible and certain lim 1 groups vanish. When X is connective, it is a first quadrant spectral sequence. For more background, see [Rav86]. In the case of the classical Adams spectral sequence, we have some additional conditions on on (1.1… CONTINUE READING