Nano ℏ_α - open set in Nano Topological Spaces

Abstract

The primary purpose of this paper is to introduce a new classification of Nano open sets, specifically Nano - open set. Some results have been established regarding the characterization of these newly generalized sets that serve as the foundation for the definition of Nano continuous mappings. In addition, the concept of Nano-open mappings, continuous functions, and Nano- homeomorphism has been proposed. The investigation of properties related to these functions has yielded some remarks that have been supported by examples.