The product of two countably compact topological groups

The product of two countably compact topological groups
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DOI:
10.1090/s0002-9947-1980-0586725-8
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发表时间:
1980-02
影响因子:
1.3
通讯作者:
E. K. Douwen
E. K. Douwen
中科院分区:
数学1区
文献类型:
--
作者:
E. K. Douwen

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利用MA(= Martin公理)构造了两个乘积不可数紧的可数紧拓扑群.为此,我们首先使用MA构造一个无限可数紧拓扑群,它没有非平凡收敛序列。
We use MA (= Martin's Axiom) to construct two countably compact topological groups whose product is not countably compact. To this end we first use MA to construct an infinite countably compact topological group which has no nontrivial convergent sequences.