COUNTABLE COMPACTNESS MODULO AN IDEAL OF NATURAL NUMBERS
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
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COUNTABLE COMPACTNESS MODULO AN IDEAL OF NATURAL NUMBERS
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| Автор |
Bal, P.
Rakshit, D. Sarkar, S. |
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| Тематика |
IDEAL
OPEN COVER COMPACT SPACE I-CONVERGENCE |
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| Описание |
In this article, we introduce the idea of I-compactness as a covering property through ideals of 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.
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| Дата |
2024-02-14T05:20:43Z
2024-02-14T05:20:43Z 2023 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) Published version (info:eu-repo/semantics/publishedVersion) |
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| Идентификатор |
Bal P. COUNTABLE COMPACTNESS MODULO AN IDEAL OF NATURAL NUMBERS / P. Bal, D. Rakshit, S. Sarkar. — Text : electronic // Ural Mathematical Journal. — 2023. — Volume 9. — № 2. — P. 28-35.
2414-3952 https://umjuran.ru/index.php/umj/article/view/626 http://elar.urfu.ru/handle/10995/129430 59690641 10.15826/umj.2023.2.002 |
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| Язык |
en
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| Связанные ресурсы |
Ural Mathematical Journal. 2023. Volume 9. № 2
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| Права |
Creative Commons Attribution License
https://creativecommons.org/licenses/by/4.0/ |
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| Формат |
application/pdf
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