| Autor: |
Prasenjit Bal, Debjani Rakshit, Susmita Sarkar |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
|
| Zdroj: |
Ural Mathematical Journal, Vol 9, Iss 2 (2023) |
| Druh dokumentu: |
article |
| ISSN: |
2414-3952 |
| DOI: |
10.15826/umj.2023.2.002 |
| Popis: |
In this article, we introduce the idea of \(I\)-compactness as a covering property through ideals of \(\mathbb N\) and regardless of the \(I\)-convergent sequences of points. The frameworks of \(s\)-compactness, compactness and sequential compactness are compared to the structure of \(I\)-compact space. We began our research by looking at some fundamental characteristics, such as the nature of a subspace of an \(I\)-compact space, then investigated its attributes in regular and separable space. Finally, various features resembling finite intersection property have been investigated, and a connection between \(I\)-compactness and sequential \(I\)-compactness has been established. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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