Lightface analytic game

Lightface analytic game

In descriptive set theory, a lightface analytic game is a game whose payoff set "A" is a Sigma^1_1 subset of Baire space; that is, there is a tree "T" on omega imesomega which is a computable subset of (omega imesomega)^{, such that "A" is the projection of the set of all branches of "T".

The determinacy of all lightface analytic games is equivalent to the existence of 0#.


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