Ordinary Single Valued Neutrosophic Topological Spaces

Abstract

We define an ordinary single valued neutrosophic topology and obtain some of its basic properties. In addition, we introduce the concept of an ordinary single valued neutrosophic subspace. Next, we define the ordinary single valued neutrosophic neighborhood system and we show that an ordinary single valued neutrosophic neighborhood system has the same properties in a classical neighborhood system. Finally, we introduce the concepts of an ordinary single valued neutrosophic base and an ordinary single valued neutrosophic subbase, and obtain two characterizations of an ordinary single valued neutrosophic base and one characterization of an ordinary single valued neutrosophic subbase.

Keywords

• ordinary single valued neutrosophic (co)topology
• ordinary single valued neutrosophic subspace
• α-level
• ordinary single valued neutrosophic neighborhood system
• ordinary single valued neutrosophic base
• ordinary single valued neutrosophic subbase