RE-VISIT I*-SEQUENTIAL TOPOLOGY

Authors : Hassina Sabor Behmanush, Mehmet Küçükaslan

Pages : 20-32

Doi:10.33773/jum.1555200

View : 3 | Download : 2

Publication Date : 2025-01-31

Article Type : Review Paper

Abstract :In this paper, I*-sequential topology is defined on a topological space (X, τ) by considering any ideal I which is a family of subset of natural numbers N. It has been proven that I∗-sequential topology is finer than I-sequential topology. In connection with this fact, the notions I*-continuity and I∗-sequential continuity are shown to be coincided in this topology. Additionally, I*-sequential compactness and related notions are defined and investigated.
Keywords : I- convergence, I∗-convergence, Sequentially I-topology, Sequentially I∗-topology