Sections, Selections and Prohorov's Theorem

Mathematics – General Topology

Scientific paper

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Scientific paper

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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