Separability of a Metric Space Is Equivalent to the Existence of a Borel Measure

被引：5

作者：

Gorka, Przemyslaw ^{[1
]}

机构：

[1] Warsaw Univ Technol, Dept Math & Informat Sci, Pl Politech 1, PL-00661 Warsaw, Poland

来源：

关键词：

D O I：

10.1080/00029890.2021.1835339

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that a metric space is separable if and only if there exists a Borel measure such that the measure of open balls is positive and finite.

引用

页码：84 / 86

页数：3