GAMES CHARACTERIZING LIMSUP FUNCTIONS AND BAIRE CLASS 1 FUNCTIONS

DOI10.1017/jsl.2022.29zbMath1505.54025arXiv2010.03327OpenAlexW3092172497MaRDI QIDQ5052008

Márk Poór, Arkadi Predtetchinski, Donát Nagy, Viktor Kiss, Márton Elekes, Janos Flesch

Publication date: 18 November 2022

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

Full work available at URL: https://arxiv.org/abs/2010.03327

zbMATH Keywords

Cantor setgamedeterminacyanalytic setwinning strategymeager setBaire class \(1\) function\(G_\delta\) set

Mathematics Subject Classification ID

Descriptive set theory (03E15) Games involving topology, set theory, or logic (91A44) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Real-valued functions in general topology (54C30)

Cites Work

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• Wadge hierarchy and Veblen hierarchy Part I: Borel sets of finite rank
• Classification of bounded Baire class $\xi $ functions
• A GAME CHARACTERIZING BAIRE CLASS 1 FUNCTIONS
• Transfinite inductions producing coanalytic sets
• Playing in the first Baire class

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