The Morava K-Theory Eilenberg–Moore spectral sequence
نویسنده
چکیده
In this article I consider the convergence of the Eilenberg– Moore spectral sequence for Morava K-theory. This spectral sequence can be constructed by applying Morava K-theory to D. L. Rector’s geometric cobar construction of the Eilenberg–Moore spectral sequence. I have shown that the Eilenberg–Moore spectral sequence for Morava Ktheory converges if the Eilenberg–Moore spectral sequence for ordinary homology collapses at E and the homology satisfies certain finiteness conditions.
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