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Some properties of I*-sequential topological space

Published 31 May 2023 in math.GN | (2305.19647v1)

Abstract: In this paper, we will define $\mathcal{I}{*}$-sequential topology on a topological space $(X,\tau)$ where $\mathcal{I}$ is an ideal of the subset of natural numbers $\mathbb{N}$. Besides the basic properties of the $\mathcal{I}{*}$-sequential topology, we proved that $\mathcal{I}{*}$-sequential topology is finer than $\mathcal{I}$-sequential topology. Further, we will discus main properties of $\mathcal{I}{*}$ sequential continuity and $\mathcal{I}{*}$ sequential compactness.

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