Beta-ideal local functions in nano anti-Hausdorff spaces

Abstract

Recent research has expanded upon established generalized set classes within the system of nano anti-Hausdorff \(\beta\)- local functions, specifically under conditions of ideals. In this research, a number of new set classes are established which underscore an important place of beta-ideals in the topological structure of the nano anti-Hausdorff, \(NAH_\star^X\). These novel collections are examined in order to investigate the delicate structural features as well as the interconnections of beta-ideals, within nano topological spaces, as gauged through the protracted view of \(NAH_\star^X\). The results lead to a more theoretical insight into the area of nano topology and a superior insight into the applications thereof concerning the use of beta-ideals.