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arXiv · 1102.2755

Spaces with Noetherian cohomology

Kasper K. S. Andersen·Natalia Castellana·Vincent Franjou·Alain Jeanneret·Jerome Scherer
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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.

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Kasper K. S. Andersen, Natalia Castellana, Vincent Franjou, Alain Jeanneret, Jerome Scherer. 2012-03-29. Spaces with Noetherian cohomology. https://doi.org/10.1017/s0013091512000193

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