Residual measures in locally compact spaces

被引：4

作者：

Zindulka, O ^{[1
]}

机构：

[1] Czech Tech Univ, Fac Civil Engn, Dept Math, Prague 16000 6, Czech Republic

来源：

TOPOLOGY AND ITS APPLICATIONS | 2000年 / 108卷 / 03期

关键词：

Borel measure; residual measure; normal measure; Jordan measure; Meager set; L-space; Martin's Axiom; Continuum Hypothesis;

D O I：

10.1016/S0166-8641(99)00137-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A sigma -finite diffused Borel measure in a topological space is called residual if each nowhere dense set has measure zero. If the measure is also fully supported, then it is called normal. Results on the influence of Martin's Axiom and the Continuum Hypothesis on the existence of residual and normal measures in locally compact spaces are obtained. A connection with L-spaces is established. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：253 / 265

页数：13

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