Nigh-Open Sets in Topological Space

Jamal Oudetallah; Nabeela Abu-Alkishik; Iqbal M. Batiha

doi:10.28924/2291-8639-21-2023-83

Nigh-Open Sets in Topological Space

Jamal Oudetallah
, Nabeela Abu-Alkishik
, Iqbal M. Batiha

Nonlinear Dynamic Research Centre (NDRC)

Irbid National University
Jerash Private University
Al-Zaytoonah University of Jordan

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

9 Scopus citations

Abstract

In this paper, we aim to introduce a new class of open sets namely nigh-open set. Accordingly, we define a topological space called a nigh-topological space. This consequently leads us to outline several new operations in connection with the sets in nigh-topological space coupled with deriving several their properties and relations.

Original language	English
Article number	83
Journal	International Journal of Analysis and Applications
Volume	21
DOIs	https://doi.org/10.28924/2291-8639-21-2023-83
State	Published - 2023

Keywords

nigh-closed set
nigh-open set
nigh-topological space
topological space

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10.28924/2291-8639-21-2023-83

Cite this

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title = "Nigh-Open Sets in Topological Space",

abstract = "In this paper, we aim to introduce a new class of open sets namely nigh-open set. Accordingly, we define a topological space called a nigh-topological space. This consequently leads us to outline several new operations in connection with the sets in nigh-topological space coupled with deriving several their properties and relations.",

keywords = "nigh-closed set, nigh-open set, nigh-topological space, topological space",

author = "Jamal Oudetallah and Nabeela Abu-Alkishik and Batiha, \{Iqbal M.\}",

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year = "2023",

doi = "10.28924/2291-8639-21-2023-83",

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T1 - Nigh-Open Sets in Topological Space

AU - Oudetallah, Jamal

AU - Abu-Alkishik, Nabeela

AU - Batiha, Iqbal M.

PY - 2023

Y1 - 2023

N2 - In this paper, we aim to introduce a new class of open sets namely nigh-open set. Accordingly, we define a topological space called a nigh-topological space. This consequently leads us to outline several new operations in connection with the sets in nigh-topological space coupled with deriving several their properties and relations.

AB - In this paper, we aim to introduce a new class of open sets namely nigh-open set. Accordingly, we define a topological space called a nigh-topological space. This consequently leads us to outline several new operations in connection with the sets in nigh-topological space coupled with deriving several their properties and relations.

KW - nigh-closed set

KW - nigh-open set

KW - nigh-topological space

KW - topological space

UR - https://www.scopus.com/pages/publications/85167699641

U2 - 10.28924/2291-8639-21-2023-83

DO - 10.28924/2291-8639-21-2023-83

M3 - Article

AN - SCOPUS:85167699641

SN - 2291-8639

VL - 21

JO - International Journal of Analysis and Applications

JF - International Journal of Analysis and Applications

M1 - 83

ER -

Nigh-Open Sets in Topological Space

Abstract

Keywords

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