Selection principles in function spaces with the compact-open topology

TL;DR

This paper explores the application of $k$-covers in function spaces endowed with the compact-open topology, advancing the understanding of their structural properties.

Contribution

It introduces new selection principles related to $k$-covers in function spaces with the compact-open topology.

Findings

Established new characterizations of function spaces using $k$-cover selection principles

Connected $k$-cover properties to classical topological concepts

Provided conditions under which certain selection principles hold

Abstract

We continue to investigate applications of $k$-covers in function spaces with the compact-open topology.