IK-SEQUENTIAL TOPOLOGY
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
IK-SEQUENTIAL TOPOLOGY
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| Автор |
Behmanush, H. S.
Küçükaslan, M. |
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| Тематика |
IDEAL CONVERGENCE
IK-CONVERGENCE SEQUENTIAL TOPOLOGY IK-SEQUENTIAL TOPOLOGY |
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| Описание |
In the literature, I-convergence (or convergence in I) was first introduced in [11]. Later related notions of I-sequential topological space and I∗-sequential topological space were introduced and studied. From the definitions it is clear that I∗-sequential topological space is larger(finer) than I-sequential topological space. This rises a question: is there any topology (different from discrete topology) on the topological space X which is finer than I∗-topological space? In this paper, we tried to find the answer to the question. We define IK-sequential topology for any ideals I, K and study main properties of it. First of all, some fundamental results about IK-convergence of a sequence in a topological space (X,T) are derived. After that, IK-continuity and the subspace of the IK-sequential topological space are investigated.
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| Дата |
2024-02-14T05:20:45Z
2024-02-14T05:20:45Z 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 |
Behmanush H. S. IK-SEQUENTIAL TOPOLOGY / H. S. Behmanush, M. Küçükaslan. — Text : electronic // Ural Mathematical Journal. — 2023. — Volume 9. — № 2. — P. 46-59.
2414-3952 https://umjuran.ru/index.php/umj/article/view/675 http://elar.urfu.ru/handle/10995/129432 59690645 10.15826/umj.2023.2.004 |
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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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