most citedEquivalence of the Rothberger and -Rothberger Games for Hausdorff Spaces

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math.GN2018★ 2 cited

Equivalence of the Rothberger and -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 -Rothberger game, i.e. the game in which player II chooses open sets in each move. This result…