Hierarchies of measure-theoretic ultrafilters

DOI10.1016/S0168-0072(98)00052-9zbMath0932.03057MaRDI QIDQ1302305

Michael Benedikt

Publication date: 13 March 2000

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

zbMATH Keywords

selective ultrafiltersmeasure-theoretic classes of ultrafilters

Mathematics Subject Classification ID

Measures on Boolean rings, measure algebras (28A60) Other combinatorial set theory (03E05) Nonstandard models in mathematics (03H05)

Cites Work

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• Ultrafiltres a la Facon de Ramsey
• There are no Q-Points in Laver's Model for the Borel Conjecture
• Some Properties of Measure and Category
• Egoroff's Theorem and the Distribution of Standard Points in a Nonstandard Model
• Q-Sets, Sierpinski Sets, and Rapid Filters
• Ultrafilter Mappings and Their Dedekind Cuts
• Conversion from Nonstandard to Standard Measure Spaces and Applications in Probability Theory
• Some points in βN
• Partition Theorems and Ultrafilters
• Ultrafilters which extend measures
• Ultrafilters on ω
• On perfect measures
• Ultrafilters on a countable set
• Ultrafilters and Standard Functions in Non-Standard Arithmetic

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