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：

加拿大自然科学与工程研究理事会; 新加坡国家研究基金会;

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.

引用

页码：377 / 379

页数：3

共 15 条

[1]

Banakh T., 1995, Matematychni Studii, V5, P65

[2]

BOUZIAD A, 2001, COMMUNICATION NOV

[3]

Chaber J., 1974, FUND MATH, V84, P107

[4] Mappings and Prohorov spaces [J].

Choban, MM .

TOPOLOGY AND ITS APPLICATIONS, 2006, 153 (13) :2320-2350

[5] Completeness, sections and selections [J].

Gutev, Valentin .

SET-VALUED ANALYSIS, 2007, 15 (03) :275-295

[6]

Hausdorff F., 1914, Grundzuge der mengenlehre

[7]

KURATOWSKI K, 1935, FUND MATH, V42, P114

[8] A THEOREM ON SEMI-CONTINUOUS SET-VALUED FUNCTIONS [J].

MICHAEL, E .

DUKE MATHEMATICAL JOURNAL, 1959, 26 (04) :647-651

[9] COMPLETE SPACES AND TRI-QUOTIENT MAPS [J].

MICHAEL, E .

ILLINOIS JOURNAL OF MATHEMATICS, 1977, 21 (03) :716-733

[10] CONTINUOUS SELECTIONS .1. [J].

MICHAEL, E .

ANNALS OF MATHEMATICS, 1956, 63 (02) :361-382

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