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math.LO2018
with Determinacy Satisfies the Suslin Hypothesis
William Chan, Stephen Jackson
The Suslin hypothesis states that there are no nonseparable complete dense linear orderings without endpoints which have the countable chain condition. $\mathsf{ZF + AD^+ + V = L(\…
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…