Abstract
The canonical function game is a game of length ω1 introduced by W. Hugh Woodin which falls inside a class of games known as Neeman games. Using large cardinals, we show that it is possible to force that the game is not determined. We also discuss the relationship between this result and Σ22 absoluteness, cardinality spectra and Π2 maximality for H(ω2) relative to the Continuum Hypothesis.
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absoluteness. In: Proceedings of the International Congress of Mathematicians, Vol. I, 515–524 (Beijing, 2002)Author information
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The research in this paper was conducted while the author was a guest of the Fields Institute, and the writing was completed with the support of a FAPESP fellowship (Grant # 02/11551-3) at the University of São Paulo.