Kuratowski and Ryll-Nardzewski measurable selection theorem
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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 set-valued function to have a measurable selection function.[1][2][3] It is named after the Polish mathematicians Kazimierz Kuratowski and Czesław Ryll-Nardzewski.[4]
Many classical selection results follow from this theorem[5] and it is widely used in mathematical economics and optimal control.[6]