On linearly H-closed spaces

被引：6

作者：

Alas, Ofelia T. ^{[1
]}

Junqueira, Lucia R. ^{[1
]}

Wilson, Richard G. ^{[2
]}

机构：

[1] Univ Sao Paulo, Inst Matemat & Estat, Caixa Postal 66281, BR-05314970 Sao Paulo, Brazil

[2] Univ Autonoma Metropolitana, Unidad Iztapalapa, Dept Matemat, Ave San Rafael Atlixco 186,Apartado Postal 55-532, Mexico City 09340, DF, Mexico

来源：

TOPOLOGY AND ITS APPLICATIONS | 2019年 / 258卷

基金：

巴西圣保罗研究基金会;

关键词：

Linearly H-closed space; Pseudocompact space; Feebly compact space; Monotonically normal space; Countable cellularity; Discretely complete space; Weakly linearly Lindelof space; COUNTABLY COMPACT;

D O I：

10.1016/j.topol.2019.02.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a subclass of the class of pseudocompact spaces, the linearly H-closed spaces, recently introduced by M. Baillif. We give two new characterizations of these spaces in terms of filters and complete accumulation points of families of open sets. We show that a monotonically normal linearly H-closed space is compact and that linear H-closedness is preserved under a product with an H-closed space. Additionally, a condition is given in order that the property be preserved under countable products. (C) 2019 Elsevier B.V. All rights reserved.

引用

页码：161 / 171

页数：11

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