Abstract

We introduce and study μ-β-Lindelöf sets in generalized topological spaces (GTSs) as a subclass of both μ-semi-Lindelöf sets and strongly μ-Lindelöf sets. We also introduce and study a new type of generalized open sets in GTSs, called ωμ-β-open sets, and apply them to obtain more properties of μ-β-Lindelöf sets.

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