BASES FOR FUNCTIONS BEYOND THE FIRST BAIRE CLASS

We provide a finite basis for the class of Borel functions that are not in the first Baire class, as well as the class of Borel functions that are not σ-continuous with closed witnesses.

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Bibliographic Details
Published in:The Journal of symbolic logic 2020-09, Vol.85 (3), p.1289-1303
Main Authors: CARROY, RAPHAËL, MILLER, BENJAMIN D.
Format: Article
Language:English
Subjects:
Logic
Mathematics
Philosophy
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Description
Summary:We provide a finite basis for the class of Borel functions that are not in the first Baire class, as well as the class of Borel functions that are not σ-continuous with closed witnesses.
ISSN:0022-4812
1943-5886
DOI:10.1017/jsl.2020.60