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

共 50 条

[21] MAPPING THEOREMS FOR H-CLOSED SPACES
WENJEN, C
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 17 (05): : 847 - &
[22] H-CLOSED AND MINIMAL HAUSDORFF SPACES
JOSEPH, JE
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 60 (OCT) : 321 - 326
[23] MORE CHARACTERIZATIONS OF H-CLOSED SPACES
JOSEPH, JE
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 63 (01) : 160 - 164
[24] H-CLOSED SPACES AND REFLECTIVE SUBCATEGORIES
HERRLICH, H
STRECKER, GE
MATHEMATISCHE ANNALEN, 1968, 177 (04) : 302 - &
[25] ON THE CARDINALITY OF URYSOHN SPACES AND WEAKLY H-CLOSED SPACES
Basile, Fortunata Aurora
Carlson, Nathan
MATHEMATICA BOHEMICA, 2019, 144 (03): : 325 - 336
[26] CHARACTERIZATION OF SPACES BY MEANS OF H-CLOSED EXPANSIONS
ILIADIS, S
DOKLADY AKADEMII NAUK SSSR, 1963, 149 (05): : 1015 - &
[27] LIGHTLY COMPACT SPACES AND INFRA H-CLOSED SPACES
HAJEK, DW
TODD, AR
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 48 (02) : 479 - 482
[28] REMARKS ON BAIRE THEOREM FOR H-CLOSED SPACES
MIODUSZEWSKI, J
COLLOQUIUM MATHEMATICUM, 1971, 23 (01) : 39 - +
[29] NOTE ON H-CLOSED SPACES - PRELIMINARY REPORT
MARIN, FL
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 18 (01): : 205 - &
[30] Compact-finite, H-closed spaces
Porter, J
TOPOLOGY PROCEEDINGS, VOL 26, NO 1, 2001-2002, 2002, 26 (01): : 311 - 316

← 1 2 3 4 5 →