A Study on Some More Sets in Generalized Topological Space via Hereditary Class

Abstract

ABSTRACT newlineThe aim of the thesis is to study the properties and characterizations of some more sets in a generalized topological space via hereditary class. newlineWe introduce and study the properties and characterizations of strong and#946;-H-open set, weakly semi-H-open set and almost strong-H-open set in a generalized topological space (X,and#955;) with a hereditary class H. newlineNext, we define and#963;^*-H-open set, and#946;^*-H-open set and and#960;^*-H-open set. Also, we establish some properties and state some characterization in a generalized topological spaces (X,and#955;) with a hereditary class H. newlineNext, we extend the study of f_H-set, regular-H-closed set and H_A-set introduced and studied in [120]. newlineNext, we define HR-closed set, weakly-H-locally closed set and A_HR-set. We discuss its properties and establish some characterizations in a generalized topological spaces (X,and#955;) with a hereditary class H. newlineFinally, we define family of all semi-H-regular sets and H_AB-sets in a generalized topological spaces (X,and#955;) with a hereditary class H. Also, we investigate various characterizations and properties of such sets. newline newline