Selection Principles and Baire spaces

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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".
7 pages

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General Topology, 03E99, 54D20, 54E52

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http://salesiana.dossiersoluciones.com/handle/123456789/141656

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.1104
 http://arxiv.org/abs/0711.1104

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arXiv