Some observations on compact indestructible spaces

被引：0

作者：

Bella, Angelo ^{[1
]}

机构：

[1] Univ Catania, Dept Math, I-95125 Catania, Italy

来源：

TOPOLOGY AND ITS APPLICATIONS | 2013年 / 160卷 / 13期

关键词：

Compact indestructibility; Lindelof indestructibility; Topological games; Pseudoradial; Sequentially compact; Finite derived set property;

D O I：

10.1016/j.topol.2013.06.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Inspired by a recent work of Dias and Tall, we show that a compact indestructible space is sequentially compact. We also prove that a Lindelof T-2 indestructible space has the finite derived set property and a compact T-2 indestructible space is pseudoradial. Finally, we observe that under CH a compact weakly Whyburn space of countable tightness is indestructible. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：1588 / 1591

页数：4

共 14 条

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