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arxiv: 1603.08412 · v1 · pith:DUPYXNQWnew · submitted 2016-03-04 · 🧮 math.MG · math.FA

Perimeter as relaxed Minkowski content in metric measure spaces

Luigi Ambrosio , Nicola Gigli , Simone Di Marino This is my paper
classification 🧮 math.MG math.FA
keywords measurecontentmetricminkowskiperimeterspacesconvergenceequal
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In this note we prove that on general metric measure spaces the perimeter is equal to the relaxation of the Minkowski content w.r.t.\ convergence in measure

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