Remarks on star-C-Menger spaces

Abstract

In this paper, we show that assuming W₁ < d, there exists a Tychonoff star-C-Menger space having a regular-closed G_?-subspace which is not star-C-Menger which gives a partial answer to a question of Song and Yin [12], and continue to investigate topological properties of star-C-Menger spaces.

Keywords: Selection principles, strongly star-Menger, star-C-Menger, strongly star-compact