Growth of Betti Numbers

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dc.creatorClair, Bryan
dc.creatorWhyte, Kevin
dc.date2001-11-09
dc.date.accessioned2026-07-07T04:44:31Z
dc.date.available2026-07-07T04:44:31Z
dc.descriptionSuppose X is any finite complex with vanishing L^2 Betti number. We prove upper bounds on the Betti numbers for regular coverings of X, sublinear in the order of covering. The bounds are sensitive to the Novikov-Shubin invariants of X, and are improved in the presence of a spectral gap.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0111120
dc.identifierhttp://arxiv.org/abs/math/0111120
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62618
dc.subjectGeometric Topology
dc.subjectDifferential Geometry
dc.subject57M10
dc.titleGrowth of Betti Numbers
dc.typetext

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