A New Study on Tri-Lindelöf Spaces

Q3 Mathematics

WSEAS Transactions on Mathematics Pub Date : 2023-11-30 DOI:10.37394/23206.2023.22.100

H. Qoqazeh, Ali A. Atoom, Ali Jaradat, Eman Almuhur, Nabeela Abu-Alkishik

引用次数: 0

Abstract

This paper defines new covering properties in tri-topological spaces called tri-Lindelöf space and the properties of this topological property and its relationship with some other types of tri-topological spaces will be studied. The effect of some types of functions on tri-Lindelöf spaces will be studied. This paper also investigates the necessary conditions through which the tri-topological space is reduced into a single topological space. Many and varied illustrative examples will be discussed and many well-known facts and theorems are generalized concerning Lindelöf spaces.

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关于三林德罗夫空间的新研究

本文定义了三拓扑空间中新的覆盖性质，即三林德罗夫空间，并将研究这一拓扑性质及其与其他一些类型的三拓扑空间的关系。本文还将研究某些类型的函数对 tri-Lindelöf 空间的影响。本文还将研究将三拓扑空间还原为单一拓扑空间的必要条件。本文将讨论许多不同的示例，并归纳出许多有关林德洛夫空间的著名事实和定理。

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

WSEAS Transactions on Mathematics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： WSEAS Transactions on Mathematics publishes original research papers relating to applied and theoretical mathematics. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of these particular areas. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with linear algebra, numerical analysis, differential equations, statistics and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.