CONTINUITY OF MEASURABLE HOMOMORPHISMS

被引：3

作者：

Brzdek, Janusz ^{[1
]}

机构：

[1] Pedag Univ, Dept Math, PL-30084 Krakow, Poland

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2008年 / 78卷 / 01期

关键词：

Christensen measurability; Baire property; universal measurability; Haar measurability; measurable homomorphism of groups;

D O I：

10.1017/S0004972708000610

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give some general results concerning continuity of measurable homomorphisms of topological groups. As a consequence we show that a Christensen measurable homomorphism of a Polish abelian group into a locally compact topological group is continuous. We also obtain similar results for the universally measurable homomorphisms and the homomorphisms that have the Baire property.

引用

页码：171 / 176

页数：6

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