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.
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页码：285 / 291
页数：7
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