When is a space Menger at infinity?

TL;DR

This paper investigates the conditions under which the remainder of a Tychonoff space's Stone-Čech compactification exhibits the Menger property, contributing to the understanding of topological properties at infinity.

Contribution

It provides a characterization of Tychonoff spaces whose remainders in their Stone-Čech compactification are Menger spaces, a novel insight into the behavior at infinity.

Findings

Identifies conditions for $eta X ackslash X$ to be Menger

Connects the Menger property with the topology of $X$ at infinity

Advances understanding of topological properties of remainders

Abstract

We try to characterize those Tychonoff spaces $X$ such that $\beta X \setminus X$ has the Menger property.