An Axiom for Nonseparable Borel Theory

DOI10.2307/1998696zbMath0428.03044OpenAlexW4214694263MaRDI QIDQ3864509

William G. Fleissner

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/1998696

zbMATH Keywords

Borel isomorphismBorel mappingLebesgue-Hausdorff theoremBaire functionLevy forcinggeneralized homeomorphismdiscretely decomposabledecomposition of metrizable spacespoint finite analytic additive familysuper-compact cardinals

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Descriptive set theory (03E15) Consistency and independence results (03E35) Large cardinals (03E55) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Other combinatorial set theory (03E05) Other set-theoretic hypotheses and axioms (03E65)

Related Items (20)

Decompositions of Borel bimeasurable mappings between complete metric spaces ⋮ \(G_{\delta}\)-additive families in absolute Souslin spaces and Borel measurable selectors ⋮ Point-Finite Borel-Additive Families are of Bounded Class ⋮ Weak-Invariant Properties of the Norm Topology ⋮ A Counterexample to the Generalized Banach Theorem ⋮ Borel Functions of Bounded Class ⋮ Products of Michael spaces and completely metrizable spaces ⋮ Borel properties of linear operators. ⋮ Invariance of Borel classes in metric spaces ⋮ Souslin measurable homomorphisms of topological groups ⋮ On some class of Borel measurable maps and absolute Borel topological spaces ⋮ Left Separated Spaces With Point-Countable Bases ⋮ Descriptive classes of sets in nonseparable spaces ⋮ Sums, Products and Continuity of Borel Maps in Nonseparable Metric Spaces ⋮ On two classes of sets containing all Baire sets and all co-analytic sets ⋮ Borel isomorphisms at the first level—I ⋮ Piece‐wise closed functions and almost discretely σ‐decomposable families ⋮ PMEA implies proposition P ⋮ Piece-wise closed functions: Corrigendum ⋮ On σ-discrete borel mappings via quasi-metrics

Cites Work

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• A compactness theorem for singular cardinals, free algebras, Whitehead problem and transversals
• Iterated Cohen extensions and Souslin's problem
• On the length of Borel hierarchies
• On Borel Mappings and Baire Functions
• A new class of order types
• Note on decompositions of metrizable spaces I
• Separation properties in Moore spaces
• Strong axioms of infinity and elementary embeddings
• Note on decompositions of metrizable spaces II
• Über analytisch darstellbare Operation in abstrakten Räumen
• Internal cohen extensions
• Borel Measurable Mappings for Nonseparable Metric Spaces

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