Countably compact spaces which cannot be cancellative topological semigroups

被引：0

作者：

Hota, S ^{[1
]}

Purisch, S ^{[1
]}

Rajagopalan, M ^{[1
]}

机构：

[1] BARRY UNIV,DEPT MATH,MIAMI SHORES,FL 33161

来源：

PAPERS ON GENERAL TOPOLOGY AND APPLICATIONS: TENTH SUMMER CONFERENCE AT AMSTERDAM | 1996年 / 788卷

关键词：

cancellative topological semigroup; countably compact; topological group; beta N;

D O I：

10.1111/j.1749-6632.1996.tb36803.x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Forty years ago A.D. Wallace asked whether a countably compact, cancellative topological semigroup is a topological group. We will prove that for various types of spaces Wallace's problem has an affirmative answer. This is done by showing that the most promising candidates for counterexamples do not admit cancellative topological semigroup structures.

引用

页码：124 / 132

页数：9

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