i~*j—S -closed and i~*,j-s -closed Sets in Bitopological Spaces

摘要

Let (X, τ_1 ,τ_2) be a bitopological space. In this paper we study the i~* j— S -closed and i~*j—S -closed sets in the bitopological spaces (X, τ_1, τ_2) in terms of ij -semi open sets in (X,τ_1, τ_2) , also a new type of sets called i~* j -sclopen sets and ij— S -cluster point and i~*j—s -cluster point of an filterbase and nets of ij -semi open and ij -semi closed sets are also defined in the bitopological space (X, τ_1, τ_2) . The different properties of the closedness so defined and the relation between them with the i~* j - sclopen set and the clusterings so defined of a filterbase and net of ij— SO and ij— SC sets in the bitopological space are also studied.