Some Spectral Sequences in Morava E-theory
نویسنده
چکیده
Morava E-theory is a much-studied theory important in understanding K(n)-local stable homotopy theory, but it is not a homology theory in the usual sense. The object of this paper is to show that the usual computational methods, spectral sequences, used to compute with homology theories also apply to Morava E-theory. Conceptually, we show that Morava E-theory is n derived functors away from being a homology theory. Thus we establish spectral sequences with only n + 1 non-trivial filtrations to compute the Morava E-theory of a coproduct or a filtered homotopy colimit.
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