A CHARACTERIZATION OF UNIVERSAL LOEB MEASURABILITY FOR COMPLETELY REGULAR HAUSDORFF SPACES

被引：5

作者：

ALDAZ, JM ^{[1
]}

机构：

[1] UNIV W INDIES,DEPT MATH,KINGSTON 7,JAMAICA

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 1992年 / 44卷 / 04期

关键词：

D O I：

10.4153/CJM-1992-041-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper it is shown that the construction of measures on standard spaces via Loeb measures and the standard part map does not depend on the full structure of the internal algebra being used. A characterization of universal Loeb measurability is given for completely regular Hausdorff spaces, and the behavior of this property under various topological operations is investigated.

引用

页码：673 / 690

页数：18

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