On the structure of the Wadge degrees of bqo-valued Borel functions

DOI10.1090/tran/7621OpenAlexW2964089150WikidataQ129714130 ScholiaQ129714130MaRDI QIDQ5380486

Antonio Montalbán, Takayuki Kihara

Publication date: 5 June 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.07802

Mathematics Subject Classification ID

Descriptive set theory (03E15) Applications of computability and recursion theory (03D80) Hierarchies of computability and definability (03D55)

Related Items (16)

Three topological reducibilities for discontinuous functions ⋮ Non-collapse of the effective Wadge hierarchy ⋮ A Q-WADGE HIERARCHY IN QUASI-POLISH SPACES ⋮ Effective wadge hierarchy in computable quasi-Polish spaces ⋮ Wadge-like degrees of Borel bqo-valued functions ⋮ A syntactic approach to Borel functions: some extensions of Louveau's theorem ⋮ THE WADGE ORDER ON THE SCOTT DOMAIN IS NOT A WELL-QUASI-ORDER ⋮ Descriptive complexity of \(\mathsf{qc} \mathsf{b}_0\)-spaces ⋮ On the main scientific achievements of Victor Selivanov ⋮ Extending Wagner's hierarchy to deterministic visibly pushdown automata ⋮ Topological reducibilities for discontinuous functions and their structures ⋮ Unnamed Item ⋮ Well-Quasi Orders and Hierarchy Theory ⋮ The uniform Martin’s conjecture for many-one degrees ⋮ Boole vs Wadge: comparing two basic tools of descriptive set theory ⋮ Non-collapse of the effective wadge hierarchy

Cites Work

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• Fine hierarchies and Boolean terms
• Three topological reducibilities for discontinuous functions
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• Hierarchies of Δ⁰₂‐measurable k ‐partitions

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