Expansion properties of metric spaces not admitting a coarse embedding into a Hilbert space

Simple item page
dc.creatorOstrovskii, M. I.
dc.date2009-03-03
dc.date2009-03-12
dc.date.accessioned2026-07-07T13:10:47Z
dc.date.available2026-07-07T13:10:47Z
dc.descriptionThe main purpose of the paper is to find some expansion properties of locally finite metric spaces which do not embed coarsely into a Hilbert space. The obtained result is used to show that infinite locally finite graphs excluding a minor embed coarsely into a Hilbert space. In an appendix a direct proof of the latter result is given.
dc.descriptionSome misprints have been corrected in the second version
dc.identifierhttps://arxiv.org/abs/0903.0607
dc.identifierhttp://arxiv.org/abs/0903.0607
dc.identifierComptes rendus de l'Academie bulgare des Sciences, 62 (2009), 415--420
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229099
dc.subjectMetric Geometry
dc.subjectFunctional Analysis
dc.subject46B20; 05C12; 54E35
dc.titleExpansion properties of metric spaces not admitting a coarse embedding into a Hilbert space
dc.typetext

Files

Collections

arXiv