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Riemann-measurable selections. (English) Zbl 0851.54021
Summary: Let \(X\) be a Polish space equipped with a \(\sigma\)-finite regular Borel measure \(\mu\). If \(E\) is a metric space and \(F\) a set-valued function: \(X\to 2^E\) with complete values, and if \(F\) is lower semicontinuous at almost all points of \(X\), we prove that there exists a Riemann-measurable selection \(s\) of \(F\).

54C65 Selections in general topology
54C60 Set-valued maps in general topology
Full Text: DOI
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