\(S_\beta\)-Compact Sets and \(S_\beta\)-Locally Compact Spaces

Abstract

We introduce and study some subsets of a topological space \(X\) called \(S{_\beta}\)-compact subspaces, \(S{_\beta}\)-compact relative to the space and \(S{_\beta}\)-Locally compact spaces. Basic properties of these spaces were given and the relationship between \(S{_\beta}\)-compact subspaces and \(S{_\beta}\)-Locally compact spaces are investigated.