On the Semicontinuity in Product Spaces

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dc.creatorLopes-Pinto, Antonio J. B.
dc.creatorMendes, Diana Aldea
dc.date2002-01-23
dc.date.accessioned2026-07-07T04:46:04Z
dc.date.available2026-07-07T04:46:04Z
dc.descriptionLet $X,Y$ be topological vector spaces or metric spaces, and let {$f:X\times Y \to \Re $} be a real function lower semicontinuous in the first variable and upper semicontinuous in the second one. It is proved that $f$ is globally measurable. Sierpinski (1925) has been raised this question in the case $X=Y=\Re $. This particular case was solved by Kempisty (1929). The actual result has applications in Calculus of Variations.
dc.description8 pages Latex
dc.identifierhttps://arxiv.org/abs/math/0201222
dc.identifierhttp://arxiv.org/abs/math/0201222
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63186
dc.subjectGeneral Topology
dc.subject54C60 (Primary)
dc.titleOn the Semicontinuity in Product Spaces
dc.typetext

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