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Riemann-measurable selections
Authors:Jean Saint Raymond
Affiliation:(1) Equipe d'Analyse — Boîte 186, Université Pierre et Marie Curie (Paris VI), 4 place Jussieu, F-75252 Paris Cedex 05, France
Abstract:LetX be a Polish space equipped with a sgr-finite regular Borel measure mgr. IfE is a metric space andF a set-valued function:X rarr 2E with complete values, and ifF is lower semicontinuous at almost all points ofX, we prove that there exists a Riemann-measurable selections ofF.
Keywords:54C60  54C65
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