Separation Axioms Defined by Four Different Points in Neutrosophic Crisp Spaces

Nour M. Easi^1,*, L. A. A. Jabar¹, Ali H. M. Al-Obaidi¹

¹Department of Mathematics, College of Education for Pure Science, University of Babylon, Iraq

Emails: edu238.nour.maki@student.uobabylon.edu.iq; l.h.jabar64@gmail.com; aalobaidi@uobabylon.edu.iq

Abstract                             

In this paper, separation axioms are discussed in neutrosophic crisp topological spaces from a new perspective. This is generally useless because any neutrosophic set does not necessarily have a union of its neutrosophic points under any union and for any kind of points. Hence, the separation properties are studied concerning stable neutrosophic crisp topological spaces, which are determined by two special types of complement. Moreover, various examples are illustrated in these cases.

Keywords: Neutrosophic crisp sets; Neutrosophic crisp points; Stable neutrosophic crisp topological space; Stable closure neutrosophic; -Space,