Some properties of locally quasi-convex groups

被引：0
|
作者：
Bruguera, MM [1 ]
机构：
[1] UNIV POLITECN CATALUNA,DEPT MATEMAT APLICADA 1,E-08028 BARCELONA,SPAIN
来源：
TOPOLOGY AND ITS APPLICATIONS | 1997年 / 77卷 / 02期
关键词：
locally quasi-convex topological group; three-space property; quasi-convex hull; polar set; weak topology; continuous character;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove in this paper that for a Hausdorff group topology on an Abelian group with sufficiently many continuous characters, there is an associated locally quasi-convex topology which is the strongest among all the locally quasi-convex group topologies weaker than the given one. We also give a result on local quasi-convexity on the line of three-space properties. (C) 1997 Elsevier Science B.V.
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页码：87 / 94
页数：8
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