q*-Rung orthopair neutrosophic subspaces and nodec spaces

Abstract

The study explores the concept of q*-rung orthopair neutrosophic topological spaces, beginning with foundational results on q*-rung orthopair neutrosophic sets. It defines subspace topology within these spaces and analyzes various properties, particularly q*-rung orthopair neutrosophic nodec spaces. These are examined under the condition that every q*-rung orthopair neutrosophic nowhere dense subset is q*-rung orthopair neutrosophic closed. Additionally, as specific examples of nodec spaces, the study investigates submaximal spaces and q*-rung orthopair neutrosophic doors. Relevant characteristics and behaviors are methodically examined. Interestingly, it shows that a q*-rung orthopair neutrosophic nodec space can be obtained by combining two discontinuous q*-rung orthopair neutrosophic closed and q*-rung orthopair neutrosophic dense (or open) spaces. Furthermore, the way these nodec spaces behave under different operations is examined.