A game characterizing Baire class 1 functions
Logic
2020-04-22 v3
Abstract
Duparc introduced a two-player game for a function between zero-dimensional Polish spaces in which Player II has a winning strategy iff is of Baire class 1. We generalize this result by defining a game for an arbitrary function between arbitrary Polish spaces such that Player II has a winning strategy in this game iff is of Baire class 1. Using the strategy of Player II, we reprove a result concerning first return recoverable functions.
Keywords
Cite
@article{arxiv.1704.08096,
title = {A game characterizing Baire class 1 functions},
author = {Viktor Kiss},
journal= {arXiv preprint arXiv:1704.08096},
year = {2020}
}