Borel isomorphisms at the first level—I

DOI10.1112/S0025579300009712zbMath0443.54029MaRDI QIDQ3886496

C. A. Rogers, J. E. Jayne

Publication date: 1979

Published in: Mathematika (Search for Journal in Brave)

zbMATH Keywords

Polish spacesBorel isomorphismsG-delta-setsnon-separable metric spacesanalytic non-Borel setsapplication to Banach spacesF-sigma-setsK-sigma-setsn-dimensional sigma-compact spacesuniversal analytic setsuniversal Borel sets

Mathematics Subject Classification ID

Complete metric spaces (54E50) Special maps on metric spaces (54E40) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (9)

Espaces $K_\sigma$ et espaces des applications continues ⋮ Piece-wise closed functions ⋮ Descriptive complexity of \(\mathsf{qc} \mathsf{b}_0\)-spaces ⋮ Borel-Piecewise Continuous Reducibility for Uniformization Problems ⋮ Wadge-like reducibilities on arbitrary quasi-Polish spaces ⋮ ON A METRIC GENERALIZATION OF THE tt-DEGREES AND EFFECTIVE DIMENSION THEORY ⋮ Turing degrees in Polish spaces and decomposability of Borel functions ⋮ DECOMPOSING FUNCTIONS OF BAIRE CLASS ON POLISH SPACES ⋮ Point Degree Spectra of Represented Spaces

Cites Work

• On compact spaces
• Complementation problems for the Baire classes
• Absolute F σ Spaces
• An Axiom for Nonseparable Borel Theory
• On Borel Mappings and Baire Functions
• The space of class $\alpha$ Baire functions
• Universal Properties of Certain Analytic Sets
• The Topological Classification of Open Co-Countable Subsets of S ²
• Borel Measurable Mappings for Nonseparable Metric Spaces
• Non-separable Borel, sets, II
• On σ-Discreteness and Borel Isomorphism

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