Weakly linearly Lindelof spaces revisited

被引：9
|
作者：
Tkachuk, V. V. [1 ]
机构：
[1] Univ Autonoma Metropolitana, Dept Matemat, Av San Rafael Atlixco 186, Mexico City 09540, DF, Mexico
来源：
TOPOLOGY AND ITS APPLICATIONS | 2019年 / 256卷
关键词：
Cellular-Lindelof space; Linearly Lindelof space; Weakly Lindelof space; Weakly linearly Lindelof space; Almost linearly Lindelof space; P-space;
D O I：
10.1016/j.topol.2019.02.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that every cellular-Lindelof space is weakly linearly Lindelof and hence monotonically normal cellular-Lindelof spaces must be Lindelof. We also show that there exists a cellular-Lindelof locally Lindelof P-space that is not weakly Lindelof. Under CH, we establish that every first countable normal weakly linearly Lindelof space is weakly Lindelof and has cardinality not exceeding c. Our results solve an open question published by Bella and Spadaro. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码：128 / 135
页数：8
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