On the compactness via primal topological spaces

Abstract

In this paper, we introduce new concepts, including $ \mathfrak{P} $-compactness, strongly $ \mathfrak{P} $-compactness, and super $ \mathfrak{P} $-compactness, in view of a primal topological space structure. We provide some results regarding to these concepts. Additionally, some examples are presented to illustrate the relations between these concepts.

Keywords

• primal topological space
• $ \mathfrak{p} $-compactness
• s$ \mathfrak{p} $-compactness
• su$ \mathfrak{p} $-compactness