Regularity and normality of nano topological spaces modeled by pre-open sets structures

Hussein, Ghufran Ali; Al-Nafie, Z. D.

doi:10.47974/JIM-1738

Open Access Research Article

Regularity and normality of nano topological spaces modeled by pre-open sets structures

^*Ghufran Ali HusseinCorresponding authorghufran.hussein.pure378@student.uobabylon.edu.iqDepartment of Mathematics College of Education for Pure Sciences University of BabylonBabylon, IraqView full profile → , Z. D. Al-Nafiepure.zahir.dobeas@uobabylon.edu.iqDepartment of Mathematics College of Education for Pure Sciences University of BabylonDepartment of Mathematics College of Education for Pure Sciences University of BabylonBabylon, 51002, IraqView full profile →

* Corresponding author · click or hover a name for details

pp. 667–673Vol. 27Issue 4June 2024DOI: 10.47974/JIM-1738XML

Received:: 13 Sep 2023
Published Online:: 30 Jun 2024
Article type:: Research Article
Language:: EN
Article no.:: JIM-1738
Pages:: 667–673

Abstract

A new class of Nano topological spaces, termed nano pre-open sets, are presented and explored in this article. Since the Nano topology contains at most five sets, we establish new structures of nano open sets and nano open covers and new requirement concepts are discussed like Nano pre-open covers, Nano pre- T_0, T_1, T_2. In this work, regularity and normality are defined as follows: Nano pre-regular and Nano pre-normal spaces. Many new theorems are stated and proved.

Keywords

Nano topology Regularity space Normality space Pre-open Separation axioms

Subject Classifications

54A0554C10

References

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