A note on indecomposable sets of finite perimeter
Metric Geometry
2021-03-29 v1
Abstract
Bonicatto--Pasqualetto--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 Poincar\'e inequality, and satisfying an \emph{isotropicity} condition. We show that the last assumption can be removed.
Cite
@article{arxiv.2103.14459,
title = {A note on indecomposable sets of finite perimeter},
author = {Panu Lahti},
journal= {arXiv preprint arXiv:2103.14459},
year = {2021}
}