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# Abstract. We show that a set of reals is undetermined in Galvin’s point-open game iff it is uncountable and has property C

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(1)

144 (1994)

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## Acknowledgements. Thanks to Irek Rec law for inspiring correspon- dence and for communicating Gruenhage’s question.

00

### [T] S. T o d o rˇce v i ć, On the Lindel¨of property of Aronszajn trees, in: General Topology and its Relation to Analysis and Algebra VI, Z. Frol´ık (ed.), Heldermann-Verlag, 1988, 577–588.

DEPARTMENT OF MATHEMATICS UNIVERSITY OF WROCŁAW PL. GRUNWALDZKI 2

### /

4 50-384 WROCŁAW, POLAND

E-mail: PAWLIKOW@PLWRUW11.BITNET

### in revised form 8 October 1993

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