Sections, Selections and Prohorov's Theorem
General Topology
2010-03-23 v1
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.
Cite
@article{arxiv.1003.4024,
title = {Sections, Selections and Prohorov's Theorem},
author = {V. Gutev and V. Valov},
journal= {arXiv preprint arXiv:1003.4024},
year = {2010}
}