Boolean representation of manifolds and functions

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dc.creatorOvchinnikov, Sergei
dc.date2001-02-01
dc.date.accessioned2026-07-07T04:39:56Z
dc.date.available2026-07-07T04:39:56Z
dc.descriptionIt is shown that a smooth n dimensional manifold with a boundary in R^n admits a Boolean representation in terms of closed half spaces defined by the tangent hyperplanes at the points on its boundary. A similar result is established for smooth functions on closed convex domains in R^n. The latter result is considered as a form of the Legendre transformation.
dc.description6 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0102007
dc.identifierhttp://arxiv.org/abs/math/0102007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60871
dc.subjectClassical Analysis and ODEs
dc.subject26B40; 26B25
dc.titleBoolean representation of manifolds and functions
dc.typetext

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