Generating countable groups by discrete subsets

被引：1

|

作者：

Protasov, Igor ^{[1
]}

机构：

[1] Taras Shevchenko Natl Univ Kyiv, Fac Cybernet, Glushkov Ave 4d, Kiev, Ukraine

来源：

TOPOLOGY AND ITS APPLICATIONS | 2016年 / 204卷

关键词：

Topological group; Generators; TOPOLOGICAL-GROUPS;

D O I：

10.1016/j.topol.2016.03.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Every countable topological group G has a closed discrete subset A such that G = AA(-1). (C) 2016 Elsevier B.V. All rights reserved.

引用

收藏

页码：253 / 255

页数：3

相关论文

共 50 条

[21] CLOSED DISCRETE SUBSETS IN 1ST COUNTABLE, COUNTABLY METACOMPACT SPACES
BURKE, DK
TOPOLOGY AND ITS APPLICATIONS, 1992, 44 (1-3) : 63 - 67
[22] Discrete subsets and convergent sequences in topological groups
Keyantuo, Valentin
Zelenyuk, Yevhen
TOPOLOGY AND ITS APPLICATIONS, 2015, 191 : 137 - 142
[23] MULTIPLIER NORM OF FINITE SUBSETS OF DISCRETE GROUPS
Chou, Ching
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, 150 (08) : 3405 - 3414
[24] ON RIESZ SUBSETS OF ABELIAN DISCRETE-GROUPS
GODEFROY, G
ISRAEL JOURNAL OF MATHEMATICS, 1988, 61 (03) : 301 - 331
[25] Crossed products of Hilbert C*-bimodules by countable discrete groups
Kajiwara, T
Watatani, Y
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 126 (03) : 841 - 851
[26] Closed discrete subsets of separable spaces and relative versions of normality, countable paracompactness and property (a)
da Silva, Samuel Gomes
COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2011, 52 (03): : 435 - 444
[27] COUNTABLE SUBSETS OF SUSLINIAN CONTINUA
MINC, P
FUNDAMENTA MATHEMATICAE, 1984, 124 (02) : 123 - 129
[28] Lambert cubes generating discrete reflection groups
Felikson, A
MATHEMATICAL NOTES, 2004, 75 (1-2) : 250 - 258
[29] Lambert Cubes Generating Discrete Reflection Groups
A. Felikson
Mathematical Notes, 2004, 75 : 250 - 258
[30] Spherical simplices generating discrete reflection groups
Felikson, AA
SBORNIK MATHEMATICS, 2004, 195 (3-4) : 585 - 598

← 1 2 3 4 5 →