Preservation of the Borel class under countable-compact-covering mappings

DOI10.1016/j.topol.2007.01.006zbMath1117.03056OpenAlexW2014332363MaRDI QIDQ880141

Jean Saint Raymond

Publication date: 10 May 2007

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2007.01.006

zbMATH Keywords

compact-covering mappingBorel classcomplete fibercountable-compact-covering mappingPolish fiber

Mathematics Subject Classification ID

Descriptive set theory (03E15) Inner models, including constructibility, ordinal definability, and core models (03E45) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (10)

A Q-WADGE HIERARCHY IN QUASI-POLISH SPACES ⋮ Effective wadge hierarchy in computable quasi-Polish spaces ⋮ A syntactic approach to Borel functions: some extensions of Louveau's theorem ⋮ A comparison of concepts from computable analysis and effective descriptive set theory ⋮ Towards a descriptive theory of cb₀-spaces ⋮ Descriptive complexity of \(\mathsf{qc} \mathsf{b}_0\)-spaces ⋮ Stable maps of Borel sets ⋮ Well-Quasi Orders and Hierarchy Theory ⋮ A Wadge hierarchy for second countable spaces ⋮ Preservation of complete metrizability by covering maps

Cites Work

• Unnamed Item
• Unnamed Item
• Some conditions under which tri-quotient or compact-covering maps are inductively perfect
• Compact-covering-properties of finite-to-one mappings
• Compact covering and game determinacy
• \(s\)-covering maps with complete fibers
• Necessary and sufficient conditions for the measurability of certain sets of closed subsets
• Borel liftings of Borel sets: some decidable and undecidable statements
• Cofinal $Σ^1_1$ and $Π^1_1$ subsets of $ω^ω$

This page was built for publication: Preservation of the Borel class under countable-compact-covering mappings