Equivalence of the Rothberger and k-Rothberger Games for Hausdorff Spaces
Description:
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.
Date:
May 2019
Creator:
Hiers, Nathaniel Christopher