Sections, Selections and Prohorov's Theorem
classification
🧮 math.GN
keywords
mappingsprohorovselectionsspacestheoremuscoachievedapplying
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The famous Prohorov theorem for Radon probability measures is generalized in terms of usco mappings. In the case of completely metrizable spaces this is achieved by applying a classical Michael result on the existence of usco selections for l.s.c. mappings. A similar approach works when sieve-complete spaces are considered.
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