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About: Kuratowski and Ryll-Nardzewski measurable selection theorem     Goto   Sponge   NotDistinct   Permalink

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In mathematics, the Kuratowski–Ryll-Nardzewski measurable selection theorem is a result from measure theory that gives a sufficient condition for a multifunction to have a measurable selection function. It is named after the Polish mathematicians Kazimierz Kuratowski and Czesław Ryll-Nardzewski. Many classical selection results follow from this theorem and it is widely used in mathematical economics and optimal control.