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Open Access ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

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Open Access Research Article

Characterizations of IIS-Compactness space

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pp. 1673–1679Vol. 28Issue 4June 2025DOI: 10.47974/JIM-2204XML
Received:
13 Nov 2024
Published Online:
12 Jun 2025
Article type:
Research Article
Language:
EN
Article no.:
JIM-2204
Pages:
1673–1679

Abstract

The idea of the present study is based on the fundamental idea of defining a new set, which we called interior isolated set and the old topological concept of isolated point. Therefore, the topological properties of this concept and its most important relationships were examined. Moreover, we built new types of sets and spaces as follows: IIS*-set, IIS-open and TIIS-space. The most important algebraic properties of these sets were also studied. In addition, several new definitions were presented for compact based on interior isolated set, which was called IIS-compact spaces IIS-O-compact. The researcher also discussed their most important properties and relationships with each other.

Keywords

Subject Classifications

54Fxx06B3006F3018F60

References

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