MICRO STRONGLY α^*-GENERALIZED HOMEOMORPHISM IN MICRO TOPOLOGICAL SPACES

K.Selvakumari Prasha, Dr.P.Anbarasi Rodrigo

Abstract: Objective: S.Chandrasekar introduced Micro Topology in 2019. We created a new class of Micro Generalized Closed Sets in Micro Topological Spaces. In this paper, we introduced some forms of continuous functions namely strongly α*gM -homeomorphism. We study the connections of these functions with other forms of Micro continuous function. Also we established the various properties of these functions. Method: The study employs rigorous analysis of these Micro functions and formal proof technique to establish their properties. Comparative analysis with some existing function is conducted to highlight the distinct characteristics of these functions. Finding: The research identifies and confirms the unique features of strongly α*gM -homeomorphism under various operations, supported by detailed proofs and examples. Novelty: The research contributes to the mathematical literature by defining and exploring a new category of Micro function and comparing it with some of the existing functions.