2022/101/1-2 (1)
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DOI: 10.5486/PMD.2022.9109
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pp. 1-14
Rothberger property and related games
Abstract:
In this paper, we continue the study of the Rothberger games. We prove that if player Two has a winning strategy in a groupable Rothberger game, then the space has the Hurewicz property. We also study the Rothberger games under continuous maps and open bijective maps.
Keywords: Rothberger game, Hurewicz property, selection principles, mildly Rothberger, topological game, mildly Hurewicz property
Mathematics Subject Classification: 54D20, 54A20