Spaces with Noetherian cohomology
Algebraic Topology
2015-03-26 v2
Abstract
Is the cohomology of the classifying space of a p-compact group, with Noetherian twisted coefficients, a Noetherian module? This note provides, 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.
Cite
@article{arxiv.1102.2755,
title = {Spaces with Noetherian cohomology},
author = {Kasper K. S. Andersen and Natalia Castellana and Vincent Franjou and Alain Jeanneret and Jerome Scherer},
journal= {arXiv preprint arXiv:1102.2755},
year = {2015}
}
Comments
12 pages