Mathematics – General Topology
Scientific paper
2010-03-21
J. Math. Anal. Appl. 360 (2009), 377-379.
Mathematics
General Topology
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.
Gutev Valentin
Valov Vesko
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