The Haar measure problem

DOI10.1090/PROC/14221zbMath1423.28038arXiv1709.02312OpenAlexW2963637135WikidataQ128843974 ScholiaQ128843974MaRDI QIDQ4644705

Adam J. Przeździecki, Boaz Tsaban, Piotr Szewczak

Publication date: 8 January 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.02312

zbMATH Keywords

subgroupsymbolic dynamicsgroupcontinuum hypothesisMarkovprofinitemeasurableunconditionally closed setsCantor groups

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Compact groups (22C05) Cardinal characteristics of the continuum (03E17) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10)

Related Items (1)

On a cardinal invariant related to the Haar measure problem

Uses Software

• MathOverflow

Cites Work

• Every infinite compact group can have a non-measurable subgroup
• Nonmeasurable subgroups of compact groups
• Measurable subgroups and nonmeasurable characters.
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