ZERO-DIMENSIONALITY OF SOME PSEUDOCOMPACT GROUPS

被引：33

作者：

DIKRANJAN, D

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 120卷 / 04期

关键词：

CONNECTED GROUP; (TOTALLY; HEREDITARILY) DISCONNECTED GROUP; ZERO-DIMENSIONAL GROUP; CONNECTED COMPONENT; QUASI-COMPONENT; (HEREDITARILY) PSEUDOCOMPACT GROUP; COUNTABLY COMPACT GROUP; (TOTALLY) MINIMAL GROUP; TORSION GROUP;

D O I：

10.2307/2160252

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that hereditarily disconnected countably compact groups are zero-dimensional. This gives a strongly positive answer to a question of Shakhmatov. We show that hereditary or total disconnectedness yields zero-dimensionality in various classes of pseudocompact groups.

引用

页码：1299 / 1308

页数：10

共 26 条

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