Playing in the first Baire class
Identifieur interne : 000007 ( Main/Exploration ); précédent : 000006; suivant : 000008Playing in the first Baire class
Auteurs : Raphaël Carroy [France]Source :
- Mathematical Logic Quarterly [ 0942-5616 ] ; 2014-02.
Abstract
We present a self‐contained analysis of some reduction games, which characterise various natural subclasses of the first Baire class of functions ranging from and into 0‐dimensional Polish spaces. We prove that these games are determined, without using Martin's Borel determinacy, and give precise descriptions of the winning strategies for Player I. As an application of this analysis, we get a new proof of the Baire's lemma on pointwise convergence.
Url:
DOI: 10.1002/malq.201200064
Affiliations:
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