On localization of the star-Menger selection principle

被引：6

作者：

Chandra, Debraj ^{[1
]}

Alam, Nur ^{[1
]}

机构：

[1] Univ Gour Banga, Dept Math, Malda 732103, W Bengal, India

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2021年 / 50卷 / 04期

关键词：

Menger; star-Menger; locally star-Menger; effectively locally star-Menger; Pixley-Roy hyperspace; decomposition; remainder; COVERING PROPERTIES; COMBINATORICS; REMAINDERS; SPACES;

D O I：

10.15672/hujms.832056

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we primarily introduce the local version of star-Menger property, namely locally star-Menger property (a space with this property is called locally star-Menger) and present some important topological observations. Certain interactions between the new notion and star-Menger property are also observed. Some observations on effectively locally star-Menger Pixley-Roy hyperspaces (introduced here) are obtained. Preservation like properties under several topological operations are also interpreted carefully. Besides, several results on decomposition and remainder of locally star-Menger spaces are also presented.

引用

页码：1155 / 1168

页数：14

共 33 条

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