On topological groups with a first-countable remainder, III

被引：3

作者：

Arhangel'skii, A. V.

van Mill, J. ^{[1
,2
]}

机构：

[1] Vrije Univ Amsterdam, Dept Math, Fac Sci, NL-1081 HV Amsterdam, Netherlands

[2] Delft Univ Technol, Fac Elect Engn Math & Comp Sci, NL-2600 GA Delft, Netherlands

来源：

INDAGATIONES MATHEMATICAE-NEW SERIES | 2014年 / 25卷 / 01期

关键词：

Character; Remainder; Compactification; Topological group; First-countable; Metrizable; Rajkov complete; Continuum hypothesis; INVARIANTS; SPACES;

D O I：

10.1016/j.indag.2013.07.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a general theorem that allows us to conclude that under CH, the free topological group over a nontrivial convergent sequence S has a first-countable remainder. It is also shown that any separable non-metrizable topological group with a first-countable remainder is Rajkov complete. (C) 2013 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.

引用

页码：35 / 43

页数：9

共 24 条

[1]

[Anonymous], PREPRINT

[2] First countability, tightness, and other cardinal invariants in remainders of topological groups [J].