A game for Baire's grand theorem
Logic
2025-01-07 v3
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.
Cite
@article{arxiv.2301.11805,
title = {A game for Baire's grand theorem},
author = {Lorenzo Notaro},
journal= {arXiv preprint arXiv:2301.11805},
year = {2025}
}
Comments
11 pages, submitted