Gardner's measurable equidecomposition conjecture
Let A,B⊆RnA,B\subseteq\mathbb{R}^nA,B⊆Rn be bounded measurable sets, and let Γ\GammaΓ be a set of isometries of Rn\mathbb{R}^nRn. The sets AAA and BBB are Γ\GammaΓ-equidecomposable if they adm…