How can we recover Baire class one functions?

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dc.creatorLecomte, Dominique
dc.date2007-09-30
dc.date.accessioned2026-07-07T08:33:12Z
dc.date.available2026-07-07T08:33:12Z
dc.descriptionLet X and Y be separable metrizable spaces, and f:X-->Y be a function. We want to recover f from its values on a small set via a simple algorithm. We show that this is possible if f is Baire class one, and in fact we get a characterization. This leads us to the study of sets of Baire class one functions and to a characterization of the separability of the dual space of an arbitrary Banach space.
dc.identifierhttps://arxiv.org/abs/0710.0155
dc.identifierhttp://arxiv.org/abs/0710.0155
dc.identifierMathematika 50 (2003) 171-198
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139045
dc.subjectLogic
dc.subjectFunctional Analysis
dc.subjectGeneral Topology
dc.subject26A21, 54H05, 03E15, 46A20
dc.titleHow can we recover Baire class one functions?
dc.typetext

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