Spaces With Noetherian Cohomology

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.


Published in:
Proceedings Of The Edinburgh Mathematical Society, 56, 13-25
Year:
2013
Publisher:
New York, Cambridge Univ Press
ISSN:
0013-0915
Keywords:
Laboratories:




 Record created 2013-03-28, last modified 2018-03-17


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