Title of article
Sections, selections and Prohorovʹs theorem
Author/Authors
Gutev، نويسنده , , Valentin and Valov، نويسنده , , Vesko Valov، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2009
Pages
3
From page
377
To page
379
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.
Keywords
Set-Valued Mapping , Lower semi-continuous , Radon probability measure , upper semi-continuous , Selection , section
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2009
Journal title
Journal of Mathematical Analysis and Applications
Record number
1560562
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