Supra semi-compactness via supra topological spaces

Abstract

In this paper, we utilize a supra semi-open sets notion to introduce and study the concepts of supra semi-compact (supra semi-Lindelöf) spaces, almost supra semi-compact (almost supra semi-Lindelöf) spaces and mildly supra semi-compact (mildly supra semi-Lindelöf) spaces in supra topological spaces. We investigate some properties of supra semi-closed and supra semi-clopen subsets of these spaces and we give the equivalent conditions for the concepts of supra semi-compact (supra semi-Lindelöf) spaces and mildly supra semi-compact (mildly supra semi-Lindelöf) spaces. With the help of examples, we illustrate the relationships among these concepts. We also derive some results which associate these spaces with some mappings.

Keywords

• Supra semi-open set
• supra semi-compactness
• almost (mildly) supra semi-compactness
• supra topological spaces