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