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Equivalence of the Rothberger and k-Rothberger Games for Hausdorff SpacesHiers, Nathaniel Christopher 05 1900 (has links)
First, we show that the Rothberger and 2-Rothberger games are equivalent. Then we adjust the former proof and introduce another game, the restricted Menger game, in order to obtain a broader result. This provides an answer in the context of Hausdorff spaces for an open question posed by Aurichi, Bella, and Dias.
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