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

页码：157 / 165

页数：9

共 19 条

[1] THE ELLIS THEOREM AND CONTINUITY IN GROUPS [J].