$\mu$-Lindelöfness in Terms of a Hereditary Class

Abstract

A hereditary class on a set $X$ is a nonempty collection of subsets of $X$ closed under the hereditary property. In this paper, we define and study the notion of Lindelöfness in generalized topological spaces with respect to a hereditary class called, $\mu\mathcal{H}$-Lindelöf spaces and discuss their properties.