# On the equivalence of sets of equal Haar measures by countable decomposition

@article{Mycielski2019OnTE,
title={On the equivalence of sets of equal Haar measures by countable decomposition},
author={Jan Mycielski and Grzegorz Tomkowicz},
journal={Bulletin of the London Mathematical Society},
year={2019},
volume={51}
}
• Published 16 October 2019
• Mathematics
• Bulletin of the London Mathematical Society
Let G be a locally compact topological group with a left invariant Haar measure μ . In 1976, Chuaqui made the following conjecture:
1 Citations

### FA ] 1 9 O ct 2 02 1 COUNTABLE-CONFIGURATIONS AND COUNTABLE PARADOXICAL DECOMPOSITIONS

• Mathematics
• 2021
The concept of configuration for groups was introduced by Rosenblatt and Willis. They used this concept particularly to characterize the amenability of groups [12]. Configurations are also applied to

## References

SHOWING 1-10 OF 14 REFERENCES

### Hilbert's Fifth Problem and Related Topics

Hilbert's fifth problem: Introduction Lie groups, Lie algebras, and the Baker-Campbell-Hausdorff formula Building Lie structure from representations and metrics Haar measure, the Peter-Weyl theorem,

### A Generalization of A Theorem of Gleason

Since D. Hilbert proposed the famous Hilbert's fifth problem in 1900 which conjectured that every locally euclidean group is a Lie group, many mathematicians have dealt with this problem, but few

Author’s note: This paper was originally written for my Minor Thesis requirement of the Ph.D. program at Harvard University. The object of this requirement is to learn about a body of work that is

### A generalization of the theorem

The first Section of this paper is devoted to prove the following Theorem, which extends previous results of H. Brezis and F. E. Browder : Let wE w ~ 0 a. e. in S2 and T E W m’p (S~), + h where is a

### Shadows of the axiom of choice in the universe $$L(\mathbb {R})$$L(R)

• Mathematics
Arch. Math. Log.
• 2018
It is shown that several theorem about Polish spaces, which depend on the axiom of choice, have interesting corollaries that are theorems of the theory of ZF + DC, where ZF is theAxiom of dependent choices and DC is the Axiom of determinacy.

### Shadows of the axiom of choice in the universe L(R)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L(\mathbb {R})$$\en

• Materials Science
Archive for Mathematical Logic
• 2017
We show that several theorems about Polish spaces, which depend on the axiom of choice (AC\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts}

### Simple cardinal algebras and their applications to invariant measures

• Notas Mathemáticas Univ. Católica de Chile
• 1976

• 2016