Comparative Properties of Nano $\pi gp$-Regular and Nano $\pi gp$-Normal Spaces

Abstract

This paper presents a comparative study of nano $\pi gp$-regular and nano $\pi gp$-normal spaces in nano topology. These separation axioms are defined using nano $\pi gp$-closed sets, extending classical notions of regularity and normality. Fundamental properties, equivalent characterizations, and relationships between the two classes are investigated. Preservation results under subspaces and various nano mappings, including nano $\pi gp$-irresolute and nano $\pi gp$-homeomorphic functions, are also established, thereby enriching the theory of generalized separation axioms in nano topological spaces.