Irresolvable topologies on groups

被引：0
|
作者：
Protasov I.V. [1 ]
机构：
[1] Kiev University, Kiev
来源：
Ukrainian Mathematical Journal | 1998年 / 50卷 / 12期
关键词：
Open Subset; Topological Space; Dense Subset; Left Ideal; Countable Group;
D O I：
10.1007/BF02514204
中图分类号：
学科分类号：
摘要：
We prove that there exist ZFC models in which every nondiscrete topological Abelian group can be decomposed into countably many dense subsets. This statement is an answer to the question raised by Comfort and van Mill. We also prove that every submaximal left-topological Abelian group is σ-discrete. © 1999 Kluwer Academic/Plenum Publishers.
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页码：1879 / 1887
页数：8
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