Study of ~-Topological Space by ~-Binary Relation in Cluster System

Authors

Mustafa Hasan Hadi, Department of Mathematics, College of Education for Pure Sciences, University of Babylon, IraqFollow
Luay Abd Al haine Al swidi, Department of Mathematics, College of Education for Pure Sciences, University of Babylon, IraqFollow

Abstract

In this paper, we introduced a new type of operators, which we called ~-operator by cluster system, and studied its properties without conditions and with certain conditions. Through our study of this operator, we defined a new topology, which we called ~-topological space, since it does not, in general, constitute a regular topological space. We also presented ~-interior points, ~-closure, ~-exterior points and reviewed some theories and examples about this concept.

Recommended Citation

Hadi, Mustafa Hasan and swidi, Luay Abd Al haine Al (2025) "Study of ~-Topological Space by ~-Binary Relation in Cluster System," Iraqi Journal for Computer Science and Mathematics: Vol. 6: Iss. 4, Article 1.
DOI: https://doi.org/10.52866/2788-7421.1325
Available at: https://ijcsm.researchcommons.org/ijcsm/vol6/iss4/1