Star covering properties

AbstractIn this paper, the authors investigate starcompact properties between countable compactness and the discrete finite chain condition (i.e., pseudocompactness), and star-Lindelöf properties between the Lindelöf property and the discrete countable chain condition (i.e., the pseudo-Lindelöf property). This work represents a unification and extension of concepts previously studied by several authors in the literature. Theory is developed to establish connections between the various star properties and other covering conditions, and a large collection of nontrivial examples is given to make distinctions