On Some Operators Generated by $G$-Method and Stack

Abstract

In this paper, two operators φGS,ΨGSφSG,ΨSG are introduced by using GG-method and stack, and a strong generalized topology τGSτSG which is finer than GG- generalized topology is obtained via the operator ΨGSΨSG. In addition, two new operators ΓGS,ΨGΓΓSG,ΨΓG are defined and a new strong generalized topology σGSσSG is attained by ΨGΓΨΓG. Basic properties of these operators are investigated and the relationships between these two strong topologies obtained and GG-generalized topology are examined.