On variants of ?-Menger spaces

被引：0

作者：

Kumar, Gaurav ^{[1
]}

Tyagi, Brij K. ^{[2
]}

机构：

[1] Univ Delhi, Dept Math, New Delhi 110007, India

[2] Univ Delhi, Atma Ram Sanatan Dharma Coll, New Delhi 110021, India

来源：

FILOMAT | 2023年 / 37卷 / 15期

关键词：

Menger space; -Menger space; -continuity; S-paracompact; Extremally disconnected space; COVERING PROPERTIES; OPEN SETS; COMBINATORICS; SUBSETS;

D O I：

10.2298/FIL2315075K

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we further study theta-Menger, theta-almost Menger and theta-weakly Menger properties [13] and investigate their relationships with other selective covering properties. We prove that in extremally disconnected semi-regular spaces, the properties viz. Menger, semi-Menger, alpha-Menger, theta-Menger, midly Menger are equivalent; and every finite power of a space X has the selection property Sfin(theta-O, theta-O) if and only if X has the property Sfin(theta-ohm, theta-ohm).

引用

页码：5075 / 5085

页数：11

共 32 条

[1] S-paracompact spaces [J].