Notes on Nano Ideal α Regular Closed Sets

Abstract

In this paper, we discussed about the notion of continuity and compactness of a new class of closed sets called Nano ideal α regular closed set in nano ideal topological spaces. We also introduced a new Hausdorff space called - Hausdorff space and found the relationship with Nano Hausdorff and Nano * Hausdorff spaces and some of its properties are also investigated. Maximal - continuous functions, Completely - continuous functions and - Homeomorphisms are also introduced and studied.