Weakening Topologies on a Countable Abelian group of Finite Exponent

被引：0
作者：
Protasov I. [1 ]
机构：
[1] Faculty of Computer Science and Cybernetics, Kyiv University, Kyiv
来源：
Journal of Mathematical Sciences | 2020年 / 248卷 / 2期
关键词：
Locally minimal group;
D O I：
10.1007/s10958-020-04868-0
中图分类号：
学科分类号：
摘要：
We prove that a countable locally minimal Abelian group of finite exponent m is discrete. For prime m, this answers Question 7.35(b) from [2]. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.
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页码：188 / 189
页数：1
相关论文
共 3 条
  • [1] Ausenhofer L., Chasco M.J., Dikranjan D., Domingues X., Locally minimal topological groups 1, J. Math. Anal. Appl., 370, pp. 431-452, (2010)
  • [2] Dikranjan D., Megrelishvili M., Minimality conditions in topological groups, Recent Progress in General Topology III, pp. 229-237, (2014)
  • [3] Protasov I., Weakening Topologies on a Countable Boolean Group
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