On strongly star ideal compactness of topological spaces
https://doi.org/10.22405/2226-8383-2024-25-3-37-46
Abstract
In this article we introduce the concept of strongly star I-compactness and study some of its topological features. We represent some finite intersection like properties for both I-compact spaces and strongly star I-compact spaces. Lastly we establish a relation between the countably 𝐼𝑓𝑖𝑛-compact space and the strongly star 𝐼𝑓𝑖𝑛-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.
About the Authors
Prasenjit Bal
The Institute of Chartered Financial Analysts of India
University Tripura
India
India
Ph.D. in Mathematics
Rakhal Das
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
M.Sc. in Mathematics
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Review
For citations:
Bal P., Das R., Sarkar S. On strongly star ideal compactness of topological spaces. Chebyshevskii Sbornik. 2024;25(3):37-46. (In Russ.) https://doi.org/10.22405/2226-8383-2024-25-3-37-46
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