Decomposition theorem into indecomposable sets of finite perimeter plus characterization of extreme BV points, both requiring isotropicity, in doubling metric measure spaces with weak (1,1)-Poincaré inequality.
Mattila , Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability , Cambridge Studies in Advanced Mathematics, Cambridge University Pre ss
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Indecomposable sets of finite perimeter in doubling metric measure spaces
Decomposition theorem into indecomposable sets of finite perimeter plus characterization of extreme BV points, both requiring isotropicity, in doubling metric measure spaces with weak (1,1)-Poincaré inequality.