Neutrosophic regular and normal subspaces in Neutrosophic Topological Spaces
1Department of Mathematics, Faculty of Science, Jdarda University, Irbid 21110, Jordan
Emails: raed@jadard.edu.jo; wadeimoon@hotmail.com; mohammadqudah165@gmail.com
Abstract
The main purpose of this paper is to define the notion of neutrosophic based normal and regular spaces. This study investigates and open new class and conception of generalization of classical regular and normal spaces. The hereditary and topological properties of neutrosophic based normal and regular spaces have been analyzed and investigated. It also examines neutrosophic topological subspaces, providing insights into their characteristics. Furthermore, the paper investigates neutrosophic regular spaces and demonstrates their hereditary nature, specifically focusing on , , and . Additionally, we explain some example of a neutrosophic-regular based space X which is a neutrosophic based normal-space but it is not necessary to neutrosophic - spaces. Eventually, it is shown that under certain conditions that the images are preserved in neutrosophic based normal and regular spaces.
Keywords: Neutrosophic space; Neutrosophic subspace; Neutrosophic regular and normal space; Neutrosophic regular subspace