The monotone Lindelof property and separability in ordered spaces

被引：26
|
作者：
Bennett, H
Lutzer, D [1 ]
Matveev, M
机构：
[1] Coll William & Mary, Williamsburg, VA 23187 USA
[2] Texas Tech Univ, Lubbock, TX 79409 USA
来源：
TOPOLOGY AND ITS APPLICATIONS | 2005年 / 151卷 / 1-3期
关键词：
monotone Lindelof property; GO-space; generalized ordered space; separability;
D O I：
10.1016/j.topol.2004.05.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we investigate the relation between separability and the monotone Lindelof property in generalized ordered (GO)-spaces. We examine which classical examples are or are not monotonically Lindelof. Using a new technique for investigating open covers of GO-spaces, we show that any separable GO-space is hereditarily monotonically Lindelof. Finally, we investigate the relation between the hereditarily monotonically Lindelof property and the Souslin problem. (c) 2004 Elsevier B.V. All rights reserved.
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页码：180 / 186
页数：7
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