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Decomposing baire functions
Journal of Symbolic Logic 56 (4):1273 - 1283 (1991)
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 unionOther Versions
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Citations of this work
Forcing with quotients.Michael Hrušák & Jindřich Zapletal - 2008 - Archive for Mathematical Logic 47 (7-8):719-739.
Borel-amenable reducibilities for sets of reals.Luca Motto Ros - 2009 - Journal of Symbolic Logic 74 (1):27-49.
Decomposing Borel functions and structure at finite levels of the Baire hierarchy.Janusz Pawlikowski & Marcin Sabok - 2012 - Annals of Pure and Applied Logic 163 (12):1748-1764.
σ-Continuity and related forcings.Marcin Sabok - 2009 - Archive for Mathematical Logic 48 (5):449-464.
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