Borel Parametrizations

DOI10.2307/1998987zbMath0408.28005OpenAlexW4241632281MaRDI QIDQ4195176

R. Daniel Mauldin

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/1998987

zbMATH Keywords

Borel isomorphismPolish spacescompact perfect setatomless conditional probability distributionBorel parametrizations

Mathematics Subject Classification ID

Descriptive set theory (03E15) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (11)

CH, \(V = L\), disintegration of measures, and \(\Pi_1^1\) sets ⋮ Borel measurable selections of Paretian utility functions ⋮ Inductive definability: Measure and category ⋮ Bimeasurable Functions ⋮ Parametrizations of Borel Sets with Large Sections ⋮ Measurable Parametrizations of Sets in Product Spaces ⋮ Invertible liftings of measurable transformations ⋮ A ``planar representation for generalized transition kernels ⋮ On disjoint Borel uniformizations ⋮ Measures on topological spaces ⋮ Some Applications of Selection Theorems to Parametrization Problems

Cites Work

• Invariant sets in topology and logic
• Boréliens à coupes $K_\sigma$
• Measurable Parametrizations and Selections
• Projecting and uniformising Borel sets with K _σ ‐sections II
• Some results in the effective descriptive set theory
• Measurable transformations on compact groups
• Non-Existence of Everywhere Proper Conditional Distributions
• Sur la division des types ordinaux
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