Some properties of I*-sequential topological space
H. Sabor Behmanush, M. Kucukaslan

TL;DR
This paper introduces and studies the properties of $\\mathcal{I}^{*}$-sequential topology on topological spaces, exploring its relation to other topologies and its implications for sequential continuity and compactness.
Contribution
It defines the $\mathcal{I}^{*}$-sequential topology, proves its relation to $\mathcal{I}$-sequential topology, and investigates key properties like continuity and compactness.
Findings
$\mathcal{I}^{*}$-sequential topology is finer than $\mathcal{I}$-sequential topology.
Established properties of $\mathcal{I}^{*}$-sequential continuity.
Analyzed $\mathcal{I}^{*}$-sequential compactness.
Abstract
In this paper, we will define -sequential topology on a topological space where is an ideal of the subset of natural numbers . Besides the basic properties of the -sequential topology, we proved that -sequential topology is finer than -sequential topology. Further, we will discus main properties of sequential continuity and sequential compactness.
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Taxonomy
TopicsFuzzy and Soft Set Theory
