Bonicatto, Pasqualetto and Rajala (2020) proved that a decomposition theorem for sets of finite perimeter into indecomposable sets, known to hold in Euclidean spaces, holds also in complete metric spaces equipped with a doubling measure, supporting a Poincaré inequality, and satisfying an isotropicity condition. We show that the last assumption can be removed.
The author wishes to thank Tapio Rajala for discussions and for checking the manuscript, as well as two anonymous referees for providing helpful feedback.
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