Gδ-points in remainders of topological groups and some addition theorems in compacta

被引：4

作者：

Arhangel'skii, A. V. ^{[1
]}

机构：

[1] Ohio Univ, Athens, OH 45701 USA

来源：

TOPOLOGY AND ITS APPLICATIONS | 2009年 / 156卷 / 12期

关键词：

Ultrafilter; Bisequential space; G(delta)-point; Pseudocharacter; Topological group; Dyadic compactum; pi-Base; Pseudocompact space; Lindelof space; First countable; Compactification; Remainder; Ulam non-measurable cardinal;

D O I：

10.1016/j.topol.2009.03.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we establish some connections between properties of a topological space X and the structure of convergence at G(delta)-points in an arbitrary remainder of this space X. A special attention is given to the case when X is a topological group. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：2013 / 2018

页数：6

共 11 条

[1] More on remainders close to metrizable spaces
Arhangel'skii, A. V.
[J]. TOPOLOGY AND ITS APPLICATIONS, 2007, 154 (06) : 1084 - 1088
[2] Arhangel'skii AV, 2008, COMMENT MATH UNIV CA, V49, P119
[3] Remainders in compactifications and generalized metrizability properties
Arhangel'skii, AV
[J]. TOPOLOGY AND ITS APPLICATIONS, 2005, 150 (1-3) : 79 - 90
[4] Arhangelskii A., 2008, Topological Groups and Related Structures
[5] Arhangelskii A.V., 1970, Am. Math. Soc. Transl, V92, P1
[6] Arhangelskii A.V., 1984, Fundamentals of General Topology: Problems and Exercises
[7] Arhangelskii A.V, 1994, T MOSC MATH SOC, V55, P207
[8] ARHANGELSKII AV, 1980, RUSS MATH SURV, V35, P1
[9] Engelking R., 1977, General Topology, V2nd
[10] SOME PROPERTIES OF COMPACTIFICATIONS
HENRIKSEN, M
ISBELL, JR
[J]. DUKE MATHEMATICAL JOURNAL, 1958, 25 (01) : 83 - 105

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