On Large Scale Properties of Manifolds

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dc.creatorDranishnikov, A. N.
dc.date1999-12-08
dc.date.accessioned2026-07-07T05:32:11Z
dc.date.available2026-07-07T05:32:11Z
dc.descriptionWe show that a space with a finite asymptotic dimension is embeddable in a non-positively curved manifold. Then we prove that if a uniformly contractible manifold X is uniformly embeddable in $\R^n$ or non-positively curved n-dimensional simply connected manifold then $X\times\R^n$ is integrally hyperspherical. If a uniformly contractible manifold X of bounded geometry is uniformly embeddable into a Hilbert space, then X is stably integrally hyperspherical.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/9912062
dc.identifierhttp://arxiv.org/abs/math/9912062
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79568
dc.subjectGeometric Topology
dc.titleOn Large Scale Properties of Manifolds
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