Displaying similar documents to “The G δ -topology on compact spaces”

A very general covering property

Paolo Lipparini (2012)

Commentationes Mathematicae Universitatis Carolinae

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We introduce a general notion of covering property, of which many classical definitions are particular instances. Notions of closure under various sorts of convergence, or, more generally, under taking kinds of accumulation points, are shown to be equivalent to a covering property in the sense considered here (Corollary 3.10). Conversely, every covering property is equivalent to the existence of appropriate kinds of accumulation points for arbitrary sequences on some fixed index set...