Selection games and the Vietoris space
نویسندگان
چکیده
We explore the connections between selection games on Hausdorff spaces and their corresponding Vietoris space of compact subsets. These considerations offer a similar relationship as well-known ?-covers X ordinary open covers finite powers X. The primary utility this method is to establish relationships with k-covers Particularly, we show that some commonly studied principles are equivalent related hyperspace being Menger or Rothberger. then apply these equivalences correct flawed argument in previous paper which attempted Hurewicz/Pawlikowski theorems true for k-covers.
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2022
ISSN: ['1879-3207', '0166-8641']
DOI: https://doi.org/10.1016/j.topol.2021.107772