A note on complete resolutions

Dembegioti, Fotini; Talelli, Olympia

doi:10.1090/S0002-9939-2010-10422-7

A note on complete resolutions
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Proc. Amer. Math. Soc. 138 (2010), 3815-3820 Request permission

Abstract:

It is shown that the Eckmann-Shapiro Lemma holds for complete cohomology if and only if complete cohomology can be calculated using complete resolutions. It is also shown that for an 𝐿𝐻𝔉

-group $G$ the kernels in a complete resolution of a $\mathbb ZG$-module coincide with Benson’s class of cofibrant modules.

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