Generalized primal topological spaces

Abstract

In the present article, a new category of mathematical structure is described based on the topological structure "primal" and the notion of "generalized". Such a structure is discussed in detail in terms of topological properties and some basic theories. Also, we introduced some operators using the concepts "primal" and "generalized primal neighbourhood", which have a lot of nice properties.

Keywords

• generalized primal topology
• generalized primal neighbourhood
• $ (\mathfrak{g}
• \mathcal{p}) $-open sets
• $ cl^\diamond $-operator
• $ \phi $-operator