On the topological covering properties by means of generalized open sets

Sarkar, Susmita; Bal, Prasenjit; Rakshit, Debjani

doi:10.1515/taa-2023-0109

Topological Algebra and Its Applications

2023

DOI: 10.1515/taa-2023-0109

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On the topological covering properties by means of generalized open sets

Susmita Sarkar,

Prasenjit Bal,

Debjani Rakshit

Abstract: By utilizing g g -open sets, we developed the ideas of GO-Mengerness and GO-Lindelöfness in this article. The structure of GO-compactness is compared to these topological covering features. In addition, some novel GO-compactness characterization has been investigated using nets and filter bases.

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2024

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Cited by 1 publication

References 13 publications

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On star Rothberger spaces modulo an ideal

Sarkar,

Bal,

Datta

2024

Appl. Gen. Topol.

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In this article, we introduce the ideal star-Rothberger property by coupling the notion of a star operator to that of an ideal Rothberger space, after which some of its topological characteristics are analysed. By creating relationships between a numbers of topological features with structures similar to the ideal star-Rothberger space, we reinforce the concept. In order to illustrate the differences between a number of related topological properties, we also provide several counter examples. Certain preservation-related properties under subspaces and functions are investigated. Lastly we find a way to express ideal star-Rothberger space by means of families of closed sets by bringing some modifications to the SSI^I property.

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On star Rothberger spaces modulo an ideal

Sarkar,

Bal,

Datta

2024

Appl. Gen. Topol.

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On the topological covering properties by means of generalized open sets

Cited by 1 publication

References 13 publications

On star Rothberger spaces modulo an ideal

On star Rothberger spaces modulo an ideal

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