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.

引用

页码：87 / 94

页数：8

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