Compression of uniform embeddings into Hilbert space

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dc.creatorBrodskiy, N.
dc.creatorSonkin, D.
dc.date2005-09-05
dc.date.accessioned2026-07-07T05:22:58Z
dc.date.available2026-07-07T05:22:58Z
dc.descriptionIf one tries to embed a metric space uniformly in Hilbert space, how close to quasi-isometric could the embedding be? We answer this question for finite dimensional CAT(0) cube complexes and for hyperbolic groups. In particular, we show that the Hilbert space compression of any hyperbolic group is 1.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0509108
dc.identifierhttp://arxiv.org/abs/math/0509108
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76266
dc.subjectGroup Theory
dc.subjectFunctional Analysis
dc.subjectGeometric Topology
dc.subject20F69; 20F65; 46C05
dc.titleCompression of uniform embeddings into Hilbert space
dc.typetext

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