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A GAME CHARACTERIZING BAIRE CLASS 1 FUNCTIONS
Published online by Cambridge University Press: 06 June 2019
Abstract
Duparc introduced a two-player game for a function f between zero-dimensional Polish spaces in which Player II has a winning strategy iff f is of Baire class 1. We generalize this result by defining a game for an arbitrary function f : X → Y between arbitrary Polish spaces such that Player II has a winning strategy in this game iff f is of Baire class 1. Using the strategy of Player II, we reprove a result concerning first return recoverable functions.
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- Copyright © The Association for Symbolic Logic 2019
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