English

Some properties of I*-sequential topological space

General Topology 2023-06-01 v1

Abstract

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

Keywords

Cite

@article{arxiv.2305.19647,
  title  = {Some properties of I*-sequential topological space},
  author = {H. Sabor Behmanush and M. Kucukaslan},
  journal= {arXiv preprint arXiv:2305.19647},
  year   = {2023}
}

Comments

14 pages

R2 v1 2026-06-28T10:51:42.513Z