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THE GENERALIZED HOMOLOGY OF PRODUCTS

Published online by Cambridge University Press:  01 January 2007

MARK HOVEY
MARK HOVEY*
Affiliation:
Department of Mathematics, Wesleyan University, Middletown, CT 06459 e-mail: hovey@member.ams.org
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Abstract.

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We construct a spectral sequence that computes the generalized homology E*(∏ Xα) of a product of spectra. The E2-term of this spectral sequence consists of the right derived functors of product in the category of E*E-comodules, and the spectral sequence always converges when E is the Johnson-Wilson theory E(n) and the Xα are Ln-local. We are able to prove some results about the E2-term of this spectral sequence; in particular, we show that the E(n)-homology of a product of E(n)-module spectra Xα is just the comodule product of the E(n)*Xα. This spectral sequence is relevant to the chromatic splitting conjecture.

Keywords

55T2555N2255P6018G1016W30
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 49 , Issue 1 , January 2007 , pp. 1 - 10
Copyright
Copyright © Glasgow Mathematical Journal Trust 2007

References

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