Sections, Selections and Prohorov's Theorem

V. Gutev; V. Valov

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arXiv · 1003.4024

Sections, Selections and Prohorov's Theorem

V. Gutev·V. Valov

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Abstract

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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V. Gutev, V. Valov. 2010-03-21. Sections, Selections and Prohorov's Theorem. https://arxiv.org/abs/1003.4024

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