Axiom of projective determinacy

（重定向自Projective determinacy）

In mathematical logic, projective determinacy is the special case of the axiom of determinacy applying only to projective sets.

The axiom of projective determinacy, abbreviated PD, states that for any two-player infinite game of perfect information of length ω in which the players play natural numbers, if the victory set (for either player, since the projective sets are closed under complementation) is projective, then one player or the other has a winning strategy.

单词	Projective determinacy
释义	Projective determinacy 英语百科 Axiom of projective determinacy （重定向自Projective determinacy） In mathematical logic, projective determinacy is the special case of the axiom of determinacy applying only to projective sets. The axiom of projective determinacy, abbreviated PD, states that for any two-player infinite game of perfect information of length ω in which the players play natural numbers, if the victory set (for either player, since the projective sets are closed under complementation) is projective, then one player or the other has a winning strategy.
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