Equivalence of the Rothberger and $2$-Rothberger Games for Hausdorff Spaces

Logan Crone, Lior Fishman, Nathaniel Hiers +1

We prove that in any Hausdorff space, the Rothberger game is equivalent to the $k$-Rothberger game, i.e. the game in which player II chooses $k$ open sets in each move. This result…