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math.LO2014★ 1 cited
Baire spaces and infinite games
Fred Galvin, Marion Scheepers
It is well known that if the nonempty player of the Banach-Mazur game has a winning strategy on a space, then that space is Baire in all powers even in the box topology. The conver…
math.LO2011
Borel's Conjecture in Topological Groups
Fred Galvin, Marion Scheepers
We introduce a natural generalization of Borel's Conjecture. For each infinite cardinal number , let {\sf BC} denote this generalization. Then is equiv…