On Nearly Menger and Nearly Star Menger Spaces

Abstract

In 1999, Ko\v{c}inac defined and characterized almost Menger space. Following this concept, we define and investigate nearly Menger and nearly star-Menger spaces. Every nearly Menger space is almost Menger and every Menger space is nearly Menger. It is shown that a nearly Menger space need not to be a Menger space. Nearly $\gamma -$set is defined and investigated.