DECOMPOSING FUNCTIONS OF BAIRE CLASS ON POLISH SPACES

DOI10.1017/jsl.2020.57zbMath1485.03196arXiv1805.11796OpenAlexW3096485307MaRDI QIDQ5855744

Takayuki Kihara, Jiafei Zhao, Brian Semmes, Longyun Ding

Publication date: 19 March 2021

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.11796

zbMATH Keywords

decomposability conjectureJayne-Rogers theoremfunctions of Baire class 2

Mathematics Subject Classification ID

Descriptive set theory (03E15) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Classification of real functions; Baire classification of sets and functions (26A21)

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Cites Work

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• Borel isomorphisms at the first level—I
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• Decomposing Borel functions using the Shore–Slaman join theorem
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• On the Structure of Finite Level and ω-Decomposable Borel Functions