Further aspects of I K-convergence in topological spaces

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...

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Bibliographic Details
Published in:	Applied general topology Vol. 22; no. 2; pp. 355 - 366
Main Authors:	Sharmah, Ankur, Hazarika, Debajit
Format:	Journal Article
Language:	English
Published:	Universitat Politècnica de València 01.10.2021
Subjects:	i k-cluster point i k-convergence i k-sequential space i k∗ -convergence i-convergence
ISSN:	1576-9402, 1989-4147
Online Access:	Get full text
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Summary:	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.
ISSN:	1576-9402 1989-4147
DOI:	10.4995/agt.2021.14868