Geodesic
On strongly star ideal compactness of topological spaces
Čebyševskij sbornik, Tome 25 (2024) no. 3, pp. 37-46 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {P. Bal and R. Das and S. Sarkar},
     title = {On strongly star ideal compactness of topological spaces},
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     year = {2024},
     volume = {25},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2024_25_3_a2/}
}
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P. Bal; R. Das; S. Sarkar. On strongly star ideal compactness of topological spaces. Čebyševskij sbornik, Tome 25 (2024) no. 3, pp. 37-46. http://geodesic.mathdoc.fr/item/CHEB_2024_25_3_a2/