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.

引用

页码：180 / 186

页数：7