Archivio Istituzionale della RicercaGeneralizing 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 / Notaro, Lorenzo. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - 152:11(2024), pp. 4903-4914. [10.1090/proc/17025]
A game for Baire's grand theorem
Lorenzo Notaro
2024
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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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/11583/2993016