Selection Principles and Baire spaces
classification
🧮 math.GN
keywords
coveringpropertyhurewiczbairebanach-mazurdeterminedgameimplication
read the original abstract
We prove that if X is a separable metric space with the Hurewicz covering property, then the Banach-Mazur game played on X is determined. The implication is not true when "Hurewicz covering property" is replaced with "Menger covering property".
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