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A rectifiability result for finite-perimeter sets in Carnot groups

A rectifiability result for finite-perimeter sets in Carnot groups

In the setting of Carnot groups, we are concerned with the rectifiability problem for subsets that have finite sub-Riemannian perimeter.We introduce a new notion of rectifiability that is, possibly, weaker than the one introduced by Franchi, Serapioni, and Serra Cassano.Namely, we consider subsets Γ that, similarly to intrinsic Lipschitz graphs, …