Baire spaces and infinite games

@article{Galvin2016BaireSA,
  title={Baire spaces and infinite games},
  author={F. Galvin and M. Scheepers},
  journal={Archive for Mathematical Logic},
  year={2016},
  volume={55},
  pages={85-104}
}
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 product topology. The converse of this implication may also be true: We know of no consistency result to the contrary. In this paper we establish the consistency of the converse relative to the consistency of the existence of a proper class of measurable cardinals. 
1 Citations
Some observations on the Baireness of C_k(X) for a locally compact space X
  • 2
  • Highly Influenced
  • PDF

References

SHOWING 1-10 OF 14 REFERENCES
Topological spaces that are α-favorable for a player with perfect information
  • 14
  • PDF
SET THEORY
  • 1,510
  • PDF
Infinite games of perfect information
  • Adv. Game Theory Ann. Math. Stud. 52, 85–101
  • 1964
An Ideal Game
  • 56
The Scottish Book Mathematics from the Scottish Cafe
  • 19
  • PDF
Topological games: On the 50th anniversary of the Banach Mazur game
  • 100
THE SCOTTISH BOOK MATHEMATICS FROM THE SCOTTISH CAFÉ
  • 4
Precipitous Ideals
  • 37
Barely Baire spaces
  • 62
  • PDF
...
1
2
...