Nearly Lindelöfness in Nth-Topological Spaces

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

doi:10.28924/2291-8639-23-2025-140

Nearly Lindelöfness in N^th-Topological Spaces

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

Nonlinear Dynamic Research Centre (NDRC)

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

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

4 Scopus citations

Abstract

The concepts of approximately N^th-Lindelöf spaces, introduced in [15] and [16], represent weaker forms of single Lindelöf spaces and have since attracted significant attention. In this paper, we revisit these spaces through the lens of a particular type of cover, known as a normal cover. The primary objective is to explore the properties of a new generalization, termed nearly n^th-Lindelöf spaces.

Original language	English
Article number	140
Journal	International Journal of Analysis and Applications
Volume	23
DOIs	https://doi.org/10.28924/2291-8639-23-2025-140
State	Published - 2025

Keywords

bitopological spaces
pairwise Lindelöf
pairwise Lindelöf spaces
pairwise compact
pairwise paracompact
regular covers

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10.28924/2291-8639-23-2025-140

Cite this

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title = "Nearly Lindel{\"o}fness in Nth-Topological Spaces",

abstract = "The concepts of approximately Nth-Lindel{\"o}f spaces, introduced in [15] and [16], represent weaker forms of single Lindel{\"o}f spaces and have since attracted significant attention. In this paper, we revisit these spaces through the lens of a particular type of cover, known as a normal cover. The primary objective is to explore the properties of a new generalization, termed nearly nth-Lindel{\"o}f spaces.",

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

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T1 - Nearly Lindelöfness in Nth-Topological Spaces

AU - Oudetallah, Jamal

AU - Alharbi, Rehab

AU - Rawashdeh, Salsabiela

AU - Batiha, Iqbal M.

AU - Amourah, Ala

AU - Sasa, Tala

PY - 2025

Y1 - 2025

N2 - The concepts of approximately Nth-Lindelöf spaces, introduced in [15] and [16], represent weaker forms of single Lindelöf spaces and have since attracted significant attention. In this paper, we revisit these spaces through the lens of a particular type of cover, known as a normal cover. The primary objective is to explore the properties of a new generalization, termed nearly nth-Lindelöf spaces.

AB - The concepts of approximately Nth-Lindelöf spaces, introduced in [15] and [16], represent weaker forms of single Lindelöf spaces and have since attracted significant attention. In this paper, we revisit these spaces through the lens of a particular type of cover, known as a normal cover. The primary objective is to explore the properties of a new generalization, termed nearly nth-Lindelöf spaces.

KW - bitopological spaces

KW - pairwise Lindelöf

KW - pairwise Lindelöf spaces

KW - pairwise compact

KW - pairwise paracompact

KW - regular covers

UR - https://www.scopus.com/pages/publications/105008686483

U2 - 10.28924/2291-8639-23-2025-140

DO - 10.28924/2291-8639-23-2025-140

M3 - Article

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SN - 2291-8639

VL - 23

JO - International Journal of Analysis and Applications

JF - International Journal of Analysis and Applications

M1 - 140

ER -

Nearly Lindelöfness in N^th-Topological Spaces

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Keywords

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