Abstract
A space X is weakly Hurewicz if for each sequence (Un : n ? N) of open covers of X, there are a dense subset Y ? X and finite subfamilies Vn ? Un(n ? N) such that for every point of Y is contained in SVn for all but finitely many n. In this paper, we investigate the relationship between Hurewicz spaces and weakly Hurewicz spaces, and also study topological properties of weakly Hurewicz spaces.
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