Some properties of I*-sequential topological space

Abstract

In this paper, we will define ${\mathcal{I}}^{\ast }$-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 ${\mathcal{I}}^{\ast }$-sequential topology, we proved that ${\mathcal{I}}^{\ast }$-sequential topology is finer than $\mathcal{I}$-sequential topology. Further, we will discus main properties of ${\mathcal{I}}^{\ast }$ sequential continuity and ${\mathcal{I}}^{\ast }$ sequential compactness.

14 pages