Novel operators in the frame of primal topological spaces

Abstract

Our aim in this paper is to define more concepts that are related to primal topological space. We introduce new operators called $ \gamma $-diamond and $ \gamma^\ast $-diamond and explore their main characterizations. We provide results and examples regarding to these operators. Using these new operators, we create a weaker version of the original topology. Additionally, we present some results related to compatibility.

Keywords

• primal
• primal topological space
• $ \gamma $-diamond and $ \gamma^\ast $-diamond