On set star-Lindelöf spaces

IF 0.6 Q3 MATHEMATICS

Applied general topology Pub Date : 2022-10-03 DOI:10.4995/agt.2022.17021

Sumit Singh

引用次数: 4

Abstract

A space X is said to be set star-Lindelöf if for each nonempty subset A of X and each collection U of open sets in X such that A ⊆⋃U, there is a countable subset V of U such that A ⊆ St (⋃V,U). The class of set star-Lindelöf spaces lie between the class of Lindel öf spaces and the class of star-Lindelöf spaces. In this paper, we investigate the relationship between set star-Lindelöf spaces and other related spaces by providing some suitable examples and study the topological properties of set star-Lindelöf spaces.

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在设置star-Lindelöf空间

如果对X的每一个非空子集A和X中的每一个开集集合U，使A的一个可数子集V满足A的一个拟事与愿违，使A的一个可数子集(∈V,U)成立star-Lindelöf。集合空间star-Lindelöf类介于林德尔空间öf类和star-Lindelöf空间类之间。本文通过提供一些合适的例子，研究了集合star-Lindelöf空间与其他相关空间的关系，并研究了集合star-Lindelöf空间的拓扑性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied general topology MATHEMATICS-

CiteScore

1.20

自引率

25.00%

发文量

审稿时长

15 weeks

期刊介绍： The international journal Applied General Topology publishes only original research papers related to the interactions between General Topology and other mathematical disciplines as well as topological results with applications to other areas of Science, and the development of topological theories of sufficiently general relevance to allow for future applications. Submissions are strictly refereed. Contributions, which should be in English, can be sent either to the appropriate member of the Editorial Board or to one of the Editors-in-Chief. All papers are reviewed in Mathematical Reviews and Zentralblatt für Mathematik.