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Title

Every Lusin set is undetermined in the point-open game

Authors 1

Affiliations

  1. Institute of Mathematics, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Poland

Abstract

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.

Keywords

ENG
point-open games, Lusin set, additivity of measure, γ-set

Bibliography

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Additional information

http://matwbn.icm.edu.pl/ksiazki/fm/fm144/fm14414.pdf

Fundamenta Mathematicae
1994/144/1
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Pages:
43-54
Main language of publication
English
Received
1992-07-29
Accepted
1993-05-15
Published
1994
Exact and natural sciences