Measurable Parametrizations and Selections

DOI10.2307/1998875zbMath0391.28006OpenAlexW4256532358MaRDI QIDQ4172256

R. Daniel Mauldin, Douglas Cenzer

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/1998875

zbMATH Keywords

Borel isomorphismmeasurable parametrizations and selectionsmeasurable selection theorem of von nemanntheorem of wesleyuniversally or absolutely measurable subsets

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Descriptive set theory (03E15) 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 (8)

Borel Parametrizations ⋮ Various products for Lebesgue densities ⋮ Inductive definability: Measure and category ⋮ Bimeasurable Functions ⋮ Measurable Representations of Preference Orders ⋮ Measurable Parametrizations of Sets in Product Spaces ⋮ Some Remarks about Measurable Parametrizations ⋮ Some Applications of Selection Theorems to Parametrization Problems

Cites Work

• Inductive definability: Measure and category
• Borel preference orders in markets with a continuum of traders
• Extensions of the measurable choice theorem by means of forcing
• On rings of operators. Reduction theory
• Survey of Measurable Selection Theorems
• Measure-Theoretic Uniformity in Recursion Theory and Set Theory
• Measurable transformations on compact groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Measurable Parametrizations and Selections