σ-compact Spaces in Nth-Topological Space

Jamal Oudetallah; Ala Amourah; Iqbal M. Batiha; Jamal Salah; Mutaz Shatnawi

doi:10.29020/nybg.ejpam.v18i2.5802

σ-compact Spaces in N^th-Topological Space

Jamal Oudetallah
, Ala Amourah
, Iqbal M. Batiha
, Jamal Salah
, Mutaz Shatnawi

Nonlinear Dynamic Research Centre (NDRC)

University of Petra
Sohar University
Applied Science Private University
Al-Zaytoonah University of Jordan
A'Sharqiyah University
Irbid National University

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

8 Scopus citations

Abstract

The principal aims of this paper include the introduction of the concept of σ-compact Spaces in n^th-topological spaces, the definition of compactness, discussion of various generalizations encompassing compactness in n^th-topological space, the properties of σ-compact Spaces. Furthermore, our study extends to the analysis of the notion of countable compactness in n^th-topological spaces. Our investigation extends to various generalizations of these spaces.

Original language	English
Article number	5802
Journal	European Journal of Pure and Applied Mathematics
Volume	18
Issue number	2
DOIs	https://doi.org/10.29020/nybg.ejpam.v18i2.5802
State	Published - Apr 2025

Keywords

Compactness
Separation axioms
Sigma compact spaces
Tri-topological spaces

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10.29020/nybg.ejpam.v18i2.5802

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author = "Jamal Oudetallah and Ala Amourah and Batiha, \{Iqbal M.\} and Jamal Salah and Mutaz Shatnawi",

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AU - Salah, Jamal

AU - Shatnawi, Mutaz

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N2 - The principal aims of this paper include the introduction of the concept of σ-compact Spaces in nth-topological spaces, the definition of compactness, discussion of various generalizations encompassing compactness in nth-topological space, the properties of σ-compact Spaces. Furthermore, our study extends to the analysis of the notion of countable compactness in nth-topological spaces. Our investigation extends to various generalizations of these spaces.

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KW - Separation axioms

KW - Sigma compact spaces

KW - Tri-topological spaces

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σ-compact Spaces in N^th-Topological Space

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Keywords

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