Some Types of Tri-Lindelöfness Spaces

Jamal Oudetallah; Rehab Alharbi; Iqbal M. Batiha; Salsabiela Rawashdeh; Ala Amourah

doi:10.29020/nybg.ejpam.v18i2.5578

Some Types of Tri-Lindelöfness Spaces

Jamal Oudetallah
, Rehab Alharbi
, Iqbal M. Batiha
, Salsabiela Rawashdeh
, Ala Amourah

Nonlinear Dynamic Research Centre (NDRC)

University of Petra
Jazan University
Al-Zaytoonah University of Jordan
Irbid National University
Sohar University
Applied Science Private University

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

In this study, we investigate the Lindelöf property in the context of three topologies, introducing the concept of tri-Lindelöf spaces. Additionally, we analyze the characteristics of these spaces in relation to traditional Lindelöf spaces. Several theoretical results are presented and proven, extending various well-known theorems on Lindelöf spaces to the setting of three topologies. Furthermore, illustrative examples are provided to support and clarify the findings.

Original language	English
Article number	5578
Journal	European Journal of Pure and Applied Mathematics
Volume	18
Issue number	2
DOIs	https://doi.org/10.29020/nybg.ejpam.v18i2.5578
State	Published - Apr 2025

Keywords

Compactness
Lindelöf Spaces
Tri-Lindelöf Spaces
Tri-Topological Spaces
TriMetalindelöf Spaces

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10.29020/nybg.ejpam.v18i2.5578

Cite this

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title = "Some Types of Tri-Lindel{\"o}fness Spaces",

abstract = "In this study, we investigate the Lindel{\"o}f property in the context of three topologies, introducing the concept of tri-Lindel{\"o}f spaces. Additionally, we analyze the characteristics of these spaces in relation to traditional Lindel{\"o}f spaces. Several theoretical results are presented and proven, extending various well-known theorems on Lindel{\"o}f spaces to the setting of three topologies. Furthermore, illustrative examples are provided to support and clarify the findings.",

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author = "Jamal Oudetallah and Rehab Alharbi and Batiha, \{Iqbal M.\} and Salsabiela Rawashdeh and Ala Amourah",

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AU - Oudetallah, Jamal

AU - Alharbi, Rehab

AU - Batiha, Iqbal M.

AU - Rawashdeh, Salsabiela

AU - Amourah, Ala

PY - 2025/4

Y1 - 2025/4

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AB - In this study, we investigate the Lindelöf property in the context of three topologies, introducing the concept of tri-Lindelöf spaces. Additionally, we analyze the characteristics of these spaces in relation to traditional Lindelöf spaces. Several theoretical results are presented and proven, extending various well-known theorems on Lindelöf spaces to the setting of three topologies. Furthermore, illustrative examples are provided to support and clarify the findings.

KW - Compactness

KW - Lindelöf Spaces

KW - Tri-Lindelöf Spaces

KW - Tri-Topological Spaces

KW - TriMetalindelöf Spaces

UR - https://www.scopus.com/pages/publications/105004760171

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JO - European Journal of Pure and Applied Mathematics

JF - European Journal of Pure and Applied Mathematics

IS - 2

M1 - 5578

ER -

Some Types of Tri-Lindelöfness Spaces

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