Noetherian loop spaces

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dc.creatorCastellana, Natalia
dc.creatorCrespo, Juan A.
dc.creatorScherer, Jerome
dc.date2009-03-10
dc.date.accessioned2026-07-07T12:50:50Z
dc.date.available2026-07-07T12:50:50Z
dc.descriptionThe class of loop spaces whose mod p cohomology is Noetherian is much larger than the class of p-compact groups (for which the mod p cohomology is required to be finite). It contains Eilenberg-Mac Lane spaces such as the infinite complex projective space and 3-connected covers of compact Lie groups. We study the cohomology of the classifying space BX of such an object and prove it is as small as expected, that is, comparable to that of BCP^\infty. We also show that BX differs basically from the classifying space of a p-compact group in a single homotopy group. This applies in particular to 4-connected covers of classifying spaces of Lie groups and sheds new light on how the cohomology of such an object looks like.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/0903.1701
dc.identifierhttp://arxiv.org/abs/0903.1701
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222802
dc.subjectAlgebraic Topology
dc.subject55R35; 55P35; 55P20; 55P60; 55S10; 55T10; 57T10
dc.titleNoetherian loop spaces
dc.typetext

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