Bi-Lipschitz approximation by finite-dimensional imbeddings

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dc.creatorKatz, Karin Usadi
dc.creatorKatz, Mikhail G.
dc.date2009-02-18
dc.date2009-02-24
dc.date.accessioned2026-07-07T12:45:23Z
dc.date.available2026-07-07T12:45:23Z
dc.descriptionWe show that the Kuratowski imbedding of a Riemannian manifold in L^\infty, exploited in Gromov's proof of the systolic inequality for essential manifolds, admits an approximation by a (1+C)-bi-Lipschitz (onto its image), finite-dimensional imbedding for every C>0. Our key tool is the first variation formula thought of as a real statement in first-order logic, in the context of non-standard analysis.
dc.description12 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0902.3126
dc.identifierhttp://arxiv.org/abs/0902.3126
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221067
dc.subjectDifferential Geometry
dc.subjectLogic
dc.subject53C23, 26E35
dc.titleBi-Lipschitz approximation by finite-dimensional imbeddings
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