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JOURNALS // Chebyshevskii Sbornik // Archive

Chebyshevskii Sb., 2024 Volume 25, Issue 3, Pages 37–46 (Mi cheb1444)

On strongly star ideal compactness of topological spaces

P. Bal, R. Das, S. Sarkar

The Institute of Chartered Financial Analysts of India University Tripura (Kamalghat, India)

Abstract: In this article we introduce the concept of strongly star $\mathrm{I}$-compactness and study some of its topological features. We represent some finite intersection like properties for both I-compact spaces and strongly star $\mathrm{I}$-compact spaces. Lastly we establish a relation between the countably $I_{fin}$-compact space and the strongly star $I_{fin}$-compact space. In order to identify the difference between the different versions of compactness we represent some counter examples. And some open problems are also posed in this article.

Keywords: star ideal, star $\mathrm{I}$-compact, $I_{fin}$-compact space.

UDC: 517

Received: 28.02.2024
Accepted: 04.09.2024

DOI: 10.22405/2226-8383-2024-25-3-37-46



© Steklov Math. Inst. of RAS, 2025