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arXiv · 2301.11805

A game for Baire's grand theorem

Lorenzo Notaro
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Abstract

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.

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Lorenzo Notaro. 2023-01-27. A game for Baire's grand theorem. https://doi.org/10.1090/proc%2F17025

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