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arxiv: 1408.1988 · v1 · pith:22VEJOPHnew · submitted 2014-08-08 · 🧮 math.MG

Measurable equidecompositions via combinatorics and group theory

{\L}ukasz Grabowski , Andr\'as M\'ath\'e , Oleg Pikhurko This is my paper
classification 🧮 math.MG
keywords measurablecombinatoricsequidecomposableequidecompositionsgivegroupinteriorslebesgue
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We give a sketch of proof that any two (Lebesgue) measurable subsets of the unit sphere in $R^n$, for $n\ge 3$, with non-empty interiors and of the same measure are equidecomposable using pieces that are measurable.

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