A game for Baire's grand theorem

Lorenzo Notaro

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A game for Baire's grand theorem

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arxiv 2301.11805 v3 pith:A6WXQWB4 submitted 2023-01-27 math.LO

A game for Baire's grand theorem

Lorenzo Notaro This is my paper

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keywords bairegamegrandtheoremarbitrarycharacterizesclassdeterminacy

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Generalizing a result of Kiss, we provide a game that characterizes Baire class 1 functions between arbitrary separable metrizable spaces. We show that the determinacy of our game is equivalent to a generalization of Baire's grand theorem, and that both these statements hold under AD and in Solovay's model.

A game for Baire's grand theorem

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