MEASURES ON HYPERSPACES

被引：0
|
作者：
Charatonik, Wlodzimierz J. [1 ]
Insall, Matt [1 ]
机构：
[1] Missouri Univ Sci & Technol, Dept Math & Stat, 400 W 12th St, Rolla, MO 65409 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2016年 / 144卷 / 11期
关键词：
Hyperspace; measure; topological space;
D O I：
10.1090/proc/13215
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
From a measure space, (X, mu(X)) we define a measure mu(P(X)) on the power set of X. If (X, tau) is a compactum, whose topology tau is compatible with the measure mu(X) on X, then the measure mu(P(X)) restricts to a natural measure on the hyperspace of closed sets of that given compactum. Surprisingly, under very mild conditions, mu(P(X)) is always supported on the hyperspace of finite subsets.
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页码：4753 / 4757
页数：5
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