Every Lusin set is undetermined in the point-open game
Volume 144 / 1994
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.