Geodesic
THE GENERALIZED HOMOLOGY OF PRODUCTS
Glasgow mathematical journal, Tome 49 (2007) no. 1, pp. 1-10

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DOI

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.
DOI : 10.1017/S0017089507003369
Mots-clés : 55T25, 55N22, 55P60, 18G10, 16W30 
HOVEY, MARK. THE GENERALIZED HOMOLOGY OF PRODUCTS. Glasgow mathematical journal, Tome 49 (2007) no. 1, pp. 1-10. doi: 10.1017/S0017089507003369
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