Proceedings of the American Mathematical Society

Author(s): Miroslav Repicky
Journal: Proc. Amer. Math. Soc. 132 (2004), 2141-2150.
MSC (2000): Primary 03E15; Secondary 03E17, 91A44
Posted: January 23, 2004
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Abstract: We make several observations on the Mycielski ideal and prove a version of the perfect set theorem concerning this ideal for analytic sets: If $A\subseteq{}^\omega2$ is an analytic set all projections of which are uncountable, then there is a perfect set $B\subseteq A$ a projection of which is the whole space. We also prove that (a modification of) an infinite game of Mycielski is determined for analytic sets.

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