Monotone star statistical compactness in topological spaces
https://doi.org/10.22405/2226-8383-2025-26-4-467-474
Abstract
In this paper, we use statistical compact subspace as a tool to introduce the concept of monotone star s-compact space. This expands upon the work of S.G. Popvassilev, J.E. Porter, M. Matveev, L. Junqueira, R. Wilson, O. Alas, J. van Mill, and V. Tkachuk. Along with a comparison with different forms of compactness, several preservation like properties of monotone star s-compactness are investigated. More over a finite intersection like characterization of the space is established with the help of 𝛿0-intersection property.
About the Authors
Debjani Rakshit
The Institute of Chartered Financial Analysts of India
University Tripura
India
India
Ph.D. in Mathematics
Prasenjit Bal
The Institute of Chartered Financial Analysts of India
University Tripura
India
India
Ph.D. in Mathematics
Susmita Sarkar
The Institute of Chartered Financial Analysts of India
University Tripura
India
India
Ph.D. in Mathematics
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Review
For citations:
Rakshit D., Bal P., Sarkar S. Monotone star statistical compactness in topological spaces. Chebyshevskii Sbornik. 2025;26(4):467-474. (In Russ.) https://doi.org/10.22405/2226-8383-2025-26-4-467-474
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