This analysis introduces g-compactness and g-lindelöfness in topological spaces, highlighting their implications.
In this research, we introduce and analyze the concepts of \(G\)-compactness, \(G\)-Lindelöfness, and \(G\)-countably compactness within the framework of topological spaces, which are characterized by more rigorous conditions compared to those governing compact and Lindelöf spaces. We formulate a series of theorems and present a variety of examples to clarify the relationships among \(G\)-compactness, \(G\)-Lindelöfness, compactness, and Lindelöfness. Additionally, we define the \(G\)-separation axioms utilizing G_δ sets and explore the interrelations among these concepts.
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Shatnawi et al. (2025) studied this question.
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