On NSBc Continuous Functions in Nano Topological Spaces

This paper introduces a new class of continuous functions, termed nano Sb-continuous functions (№-cts), in nano topological spaces (№T spaces). This study explores their fundamental properties, characterizations, and relationships with other generalized forms of continuity. We define and analyze the structural behavior of №-Sb continuous functions, extending the existing framework of nano topology. Several new propositions are established to demonstrate their role in preserving topological properties. Furthermore, the relationships between №-semi open sets, №-b-open sets, and №-Sb-continuous functions are discussed in detail. The results provide a foundation for further studies in generalized continuity within nano topological structures, offering new insights into the field of mathematical topology. The research contributes to advancing theoretical developments and potential applications in areas that utilize nano topology, such as fuzzy logic, rough set theory, and computational topology.