Remarks on Relativization of star-K-Menger spaces

Abstract

A subspace Y of a space X is said to have relatively star-K-Menger property  in X if for each sequence $ (\mathcal U_{n} : n \in \omega) $ of open covers of X, there is a sequence $ (K_{n} : n \in \omega) $ of compact subsets of X such that  $ \{ {\rm St} (K_{n}, \mathcal U_{n}) : n \in \omega\} $ is an open cover of Y. In this paper, we investigate topological properties of relatively star-K-Menger and relatively star-C-Menger spaces. Further, we study the topological properties of relatively star-K-Menger spaces.