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arXiv:2301.11805 [math.LO]AbstractReferencesReviewsResources

A game for Baire's grand theorem

Lorenzo Notaro

Published 2023-01-27Version 1

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.

Comments: 11 pages, to be submitted
Categories: math.LO
Subjects: 03E15, 26A21, 91A44
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