A game for Baire's grand theorem
arXiv:2301.11805 · doi:10.1090/proc/17025
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.
11 pages, submitted