On o-minimality of extensions of $\R$ by restricted generic smooth functions

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dc.creatorGrigoriev, Alexei
dc.date2005-06-06
dc.date.accessioned2026-07-07T05:20:34Z
dc.date.available2026-07-07T05:20:34Z
dc.descriptionIt is shown that the extension of $\R$ by a generic smooth function restricted to the unit cube is o-minimal. The generalization to countably many generic smooth functions is indicated. Possible applications are sketched.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0506109
dc.identifierhttp://arxiv.org/abs/math/0506109
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75424
dc.subjectLogic
dc.subjectOptimization and Control
dc.titleOn o-minimality of extensions of $\R$ by restricted generic smooth functions
dc.typetext

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