Every Lusin set is undetermined in the point-open game

Volume 144 / 1994

Ireneusz Recław Fundamenta Mathematicae 144 (1994), 43-54 DOI: 10.4064/fm-144-1-43-54


We show that some classes of small sets are topological versions of some combinatorial properties. We also give a characterization of spaces for which White has a winning strategy in the point-open game. We show that every Lusin set is undetermined, which solves a problem of Galvin.


  • Ireneusz Recław

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