Certain sequences with compact closure

被引：2
|
作者：
Kemoto, Nobuyuki [1 ]
Yajima, Yukinobu [2 ]
机构：
[1] Oita Univ, Dept Math, Oita 8701192, Japan
[2] Kanagawa Univ, Dept Math, Yokohama, Kanagawa 2218686, Japan
来源：
TOPOLOGY AND ITS APPLICATIONS | 2009年 / 156卷 / 07期
关键词：
beta-Sequence; Compact closure; Countable closure; Feebly compact; COUNTABLY COMPACT; SPACES; NORMALITY; PRODUCTS;
D O I：
10.1016/j.topol.2008.12.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with a question which is stated by quite simple definitions. A sequence {X(n)} in a space X is called a beta-sequence if every subsequence of it has a cluster point in X. The closure of the sequence {X(n)} means the closure of {X(n),: n is an element of omega} in X. Here we consider the question when a beta-sequence has compact closure. We give several answers to this question. (C) 2008 Elsevier B.V. All rights reserved.
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页码：1348 / 1354
页数：7
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