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Decomposing Baire functions

Published online by Cambridge University Press:  12 March 2014

J. Cichoń ,
M. Morayne ,
J. Pawlikowski  and
S. Solecki
J. Cichoń
Affiliation:
Mathematical Institute, University of Wroclaw, 50–384 Wrocław, Poland
M. Morayne
Affiliation:
Mathematical Institute, University of Wroclaw, 50–384 Wrocław, Poland
J. Pawlikowski
Affiliation:
Mathematical Institute, University of Wroclaw, 50–384 Wrocław, Poland
S. Solecki*
Affiliation:
Mathematical Institute, University of Wroclaw, 50–384 Wrocław, Poland
*
Department of Mathematics, University of California, Davis, California 95616-8633.
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Abstract

We discuss in the paper the following problem: Given a function in a given Baire class, into “how many” (in terms of cardinal numbers) functions of lower classes can it be decomposed? The decomposition is understood here in the sense of the set-theoretical union.

Keywords

Baire functionBaire classBorel setcardinal numberBaire space
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 56 , Issue 4 , December 1991 , pp. 1273 - 1283
Copyright
Copyright © Association for Symbolic Logic 1991

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References

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