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A note on indecomposable sets of finite perimeter

  • Panu Lahti ORCID logo EMAIL logo


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.

MSC 2010: 30L99; 26B30; 46E36

Communicated by Zoltan Balogh


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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Received: 2021-03-26
Revised: 2022-02-14
Accepted: 2022-06-13
Published Online: 2022-07-22
Published in Print: 2023-07-01

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