Borel-amenable reducibilities for sets of reals

DOI10.2178/jsl/1231082301zbMath1177.03048arXiv0804.4800OpenAlexW2168287010MaRDI QIDQ3616342

Luca Motto Ros

Publication date: 25 March 2009

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

Full work available at URL: https://arxiv.org/abs/0804.4800

zbMATH Keywords

reducibilityWadge hierarchyaxiom of determinacy

Mathematics Subject Classification ID

Descriptive set theory (03E15) Determinacy principles (03E60)

Related Items (19)

Descriptive set theory, from Cantor to Wadge and beyond ⋮ CONSTRUCTING WADGE CLASSES ⋮ Wadge-like degrees of Borel bqo-valued functions ⋮ A semi-potential for finite and infinite games in extensive form ⋮ Towards a descriptive theory of cb₀-spaces ⋮ Descriptive complexity of \(\mathsf{qc} \mathsf{b}_0\)-spaces ⋮ On the main scientific achievements of Victor Selivanov ⋮ Beyond Borel-amenability: scales and superamenable reducibilities ⋮ Topological reducibilities for discontinuous functions and their structures ⋮ Borel-Piecewise Continuous Reducibility for Uniformization Problems ⋮ Borel subsets of the real line and continuous reducibility ⋮ Game characterizations and lower cones in the Weihrauch degrees ⋮ Well-Quasi Orders and Hierarchy Theory ⋮ Continuous reducibility and dimension of metric spaces ⋮ Wadge-like reducibilities on arbitrary quasi-Polish spaces ⋮ Game characterizations and lower cones in the Weihrauch degrees ⋮ Extending Wadge theory to \(k\)-partitions ⋮ Game representations of classes of piecewise definable functions ⋮ Every zero-dimensional homogeneous space is strongly homogeneous under determinacy

Cites Work

• Unnamed Item
• More on Wadge determinacy
• Equivalence between Wadge and Lipschitz determinacy
• Decomposing Borel sets and functions and the structure of Baire class 1 functions
• Borel–Wadge degrees

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