Measurable equidecompositions via combinatorics and group theory
Metric Geometry
2014-08-12 v1
Abstract
We give a sketch of proof that any two (Lebesgue) measurable subsets of the unit sphere in , for , with non-empty interiors and of the same measure are equidecomposable using pieces that are measurable.
Cite
@article{arxiv.1408.1988,
title = {Measurable equidecompositions via combinatorics and group theory},
author = {Łukasz Grabowski and András Máthé and Oleg Pikhurko},
journal= {arXiv preprint arXiv:1408.1988},
year = {2014}
}
Comments
6 pages