Characterizing subgroups of compact abelian groups

被引：28

作者：

Dikranjan, Dikran

Kunen, Kenneth

机构：

[1] Univ Udine, Dipartimento Matemat & Informat, I-33100 Udine, Italy

[2] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2007年 / 208卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/j.jpaa.2005.12.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that every countable subgroup of a compact metrizable abelian group has a characterizing set. As an application, we answer several questions on maximally almost periodic (MAP) groups and give a characterization of the class of (necessarily MAP) abelian topological groups whose Bohr topology has countable pseudocharacter. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：285 / 291

页数：7

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