Further aspects of I K-convergence in topological spaces

IF 0.6 Q3 MATHEMATICS

Applied general topology Pub Date : 2021-10-01 DOI:10.4995/agt.2021.14868

Ankur Sharmah, D. Hazarika

引用次数: 2

Abstract

In this paper, we obtain some results on the relationships between different ideal convergence modes namely, I K, I K∗ , I, K, I ∪ K and (I ∪K) ∗ . We introduce a topological space namely I K-sequential space and show that the class of I K-sequential spaces contain the sequential spaces. Further I K-notions of cluster points and limit points of a function are also introduced here. For a given sequence in a topological space X, we characterize the set of I K-cluster points of the sequence as closed subsets of X.

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拓扑空间中I - k收敛的进一步方面

本文得到了不同理想收敛模式I K, I K∗，I, K, I∪K和(I∪K)∗之间关系的一些结果。我们引入了一个拓扑空间即I k序列空间，并证明了I k序列空间类包含序列空间。进一步引入了函数的聚类点和极限点的k概念。对于拓扑空间X中的一个给定序列，我们将序列的I k个聚类点的集合表征为X的闭子集。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied general topology MATHEMATICS-

CiteScore

1.20

自引率

25.00%

发文量

审稿时长

15 weeks

期刊介绍： The international journal Applied General Topology publishes only original research papers related to the interactions between General Topology and other mathematical disciplines as well as topological results with applications to other areas of Science, and the development of topological theories of sufficiently general relevance to allow for future applications. Submissions are strictly refereed. Contributions, which should be in English, can be sent either to the appropriate member of the Editorial Board or to one of the Editors-in-Chief. All papers are reviewed in Mathematical Reviews and Zentralblatt für Mathematik.