Set operators and associated functions

Authors : Shyamapada MODAK, Sk SELİM

Pages : 456-467

Doi:10.31801/cfsuasmas.644689

View : 19 | Download : 9

Publication Date : 2021-06-30

Article Type : Research Paper

Abstract :The study of two operators local function and the set operator $\psi$  on the ideal topological spaces are likely to be same to the study of closure and  interior operator of the topological spaces. However, they are not exactly equal  with the interior and closure operator of the topological spaces. In this context,  we introduce two new set operators on the ideal topological spaces. Detail  properties of these two operators are the part of this article. Furthermore,  the operators interior insert ignore into journalissuearticles values(resp. $\psi$); and closure insert ignore into journalissuearticles values(local function); obey the relation  $Intinsert ignore into journalissuearticles values(A);$= X \ $Cl$insert ignore into journalissuearticles values(X \ A); insert ignore into journalissuearticles values(resp. $\psi$insert ignore into journalissuearticles values(A); = X \insert ignore into journalissuearticles values(X \A);$^*);$ . We search the general  method of these relations, through this manuscript.
Keywords : local function, associated function, psi M operator, psi operator