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}
}
Let G be a locally compact topological group with a left invariant Haar measure μ . In 1976, Chuaqui made the following conjecture: 

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

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

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