Almost Menger and related spaces

Darko Kocev

In this paper we consider the notion of almost Menger property which is similar to the familiar property of Menger and prove that we can use regular open sets instead of open sets in the definition of almost Menger property. We give conditions for a space $X^n$ to be almost Menger. In the similar way, we consider almost $\gamma$-sets and the almost star-Menger property.