Completely ω-balanced topological groups

被引：11

作者：

Juarez-Anguiano, Hugo ^{[1
]}

Sanchez, Ivan ^{[2
]}

机构：

[1] Univ Autonoma Metropolitana, Dept Matemat, Av San Rafael Atlixco 186,Col Vicentina, Mexico City 09940, DF, Mexico

[2] Univ Jaume 1, IMAC, Campus Riu Sec, Castellon de La Plana 12071, Spain

来源：

TOPOLOGY AND ITS APPLICATIONS | 2016年 / 204卷

关键词：

Strongly realcompact; Strongly Dieudonne-complete; Strongly delta-complete; omega-narrow; Completely omega-balanced; omega-balanced;

D O I：

10.1016/j.topol.2016.03.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that a topological group G admits a homeomorphic embedding as a subgroup into a product of strongly metrizable groups if and only if G is completely omega-balanced. Using this fact we obtain a characterization of strongly delta-complete topological groups, i.e., closed subgroups of a product of strongly metrizable groups. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：198 / 203

页数：6

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