A note on complete resolutions

Fotini Dembegioti and Olympia Talelli

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 G an LHF-group the kernels in
a complete resolution of a ZG-module coincide with
Benson's class of cofibrant modules.