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

Abstract

In this paper, two operators ${\phi }_S^G,{\Psi }_S^G$ are introduced by using $G$-method and stack, and a strong generalized topology ${\tau }_S^G$ which is finer than $G$- generalized topology is obtained via the operator ${\Psi }_S^G$. In addition, two new operators ${\Gamma }_S^G,{\Psi }_{\Gamma }^G$ are defined and a new strong generalized topology ${\sigma }_S^G$ is attained by ${\Psi }_{\Gamma }^G$. Basic properties of these operators are investigated and the relationships between these two strong topologies obtained and $G$-generalized topology are examined.

Keywords

• stack
• $G$-method
• $G$-closures
• strong generalized topology

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