0013-0915
Spaces With Noetherian Cohomology
Andersen
Kasper K. S.
Lunds Tekniska Hgsk, Ctr Math Sci, S-22100 Lund, Sweden
Castellana
Natalia
Univ Autonoma Barcelona, Dept Matemat, Bellaterra 08193, Spain
Franjou
Vincent
Lab Jean Leray, UMR 6629, F-44322 Nantes 3, France
Jeanneret
Alain
Univ Bern, Math Inst, CH-3012 Bern, Switzerland
Scherer
Jerome
2013
Is the cohomology of the classifying space of a p-compact group, with Noetherian twisted coefficients, a Noetherian module? In this paper we provide, over the ring of p-adic integers, such a generalization to p-compact groups of the Evens-Venkov Theorem. We consider the cohomology of a space with coefficients in a module, and we compare Noetherianity over the field with p elements with Noetherianity over the p-adic integers, in the case when the fundamental group is a finite p-group.
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