Every Lusin set is undetermined in the point-open game
Fundamenta Mathematicae, Tome 144 (1994) no. 1, pp. 43-54.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/fm-144-1-43-54
Keywords: point-open games, Lusin set, additivity of measure, γ-set

Ireneusz Recław 1

1
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Ireneusz Recław. Every Lusin set is undetermined in the point-open game. Fundamenta Mathematicae, Tome 144 (1994) no. 1, pp. 43-54. doi : 10.4064/fm-144-1-43-54. http://geodesic.mathdoc.fr/articles/10.4064/fm-144-1-43-54/

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