Nonstandard Hulls of Locally Exponential Lie Algebras

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dc.creatorGoldbring, Isaac
dc.date2008-04-03
dc.date.accessioned2026-07-07T09:30:07Z
dc.date.available2026-07-07T09:30:07Z
dc.descriptionWe show how to construct the nonstandard hull of certain infinite-dimensional Lie algebras in order to generalize a theorem of Pestov on the enlargeability of Banach-Lie algebras. In the process, we consider a nonstandard smoothness condition on functions between locally convex spaces to ensure that the induced function between the nonstandard hulls is smooth. We also discuss some conditions on a function between locally convex spaces which guarantee that its nonstandard extension maps finite points to finite points.
dc.identifierhttps://arxiv.org/abs/0804.0565
dc.identifierhttp://arxiv.org/abs/0804.0565
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158027
dc.subjectDifferential Geometry
dc.subjectLogic
dc.subject22E65; 26E35
dc.titleNonstandard Hulls of Locally Exponential Lie Algebras
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