Sections, selections and Prohorov's theorem

被引：3
|
作者：
Gutev, Valentin [2 ]
Valov, Vesko [1 ]
机构：
[1] Nipissing Univ, Dept Math & Comp Sci, N Bay, ON P1B 8L7, Canada
[2] Univ KwaZulu Natal, Sch Math Sci, ZA-4000 Durban, South Africa
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 360卷 / 02期
基金：
新加坡国家研究基金会; 加拿大自然科学与工程研究理事会;
关键词：
Set-valued mapping; Lower semi-continuous; Upper semi-continuous; Selection; Section; Radon probability measure; SPACES;
D O I：
10.1016/j.jmaa.2009.06.063
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 I.s.c. mappings. A similar approach works when sieve-complete spaces are considered. (C) 2009 Elsevier Inc. All rights reserved.
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页码：377 / 379
页数：3
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