Topological games and topological groups

被引：34
|
作者：
Kenderov, PS [1 ]
Kortezov, IS [1 ]
Moors, WB [1 ]
机构：
[1] Univ Waikato, Dept Math, Hamilton, New Zealand
来源：
TOPOLOGY AND ITS APPLICATIONS | 2001年 / 109卷 / 02期
关键词：
semitopological group; topological group; separate continuity; joint continuity; topological games; quasi-continuity;
D O I：
10.1016/S0166-8641(99)00152-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A semitopological group (topological group) is a group endowed with a topology for which multiplication is separately continuous (multiplication is jointly continuous and inversion is continuous). In this paper we give some topological conditions on a semitopological group that imply that it is a topological group. In particular, we show that every almost Cech-complete semitopological group is a topological group. Thus we improve some recent results of A. Bouziad. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：157 / 165
页数：9
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