Measurable equidecompositions via combinatorics and group theory
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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