BASES FOR FUNCTIONS BEYOND THE FIRST BAIRE CLASS

Author:

CARROY RAPHAËL,MILLER BENJAMIN D.

Abstract

AbstractWe 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 $\sigma $ -continuous with closed witnesses.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference4 articles.

1. Decomposing Borel sets and functions and the structure of Baire class $1$ functions;Solecki;Journal of the American Mathematical Society,1998

2. Classical Descriptive Set Theory

3. First level Borel functions and isomorphisms;Jayne;Journal de Mathématiques Pures et Appliquées,1982

4. The open dihypergraph dichotomy and the second level of the Borel hierarchy

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