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On some recent developments of the theory of sets of finite perimeter. (English) Zbl 1225.49039

Summary: We describe some recent progress on the theory of sets of finite perimeter, currents, and rectifiability in metric spaces. We discuss the relation between intrinsic and extrinsic theories for rectifiability.

MSC:

49Q15 Geometric measure and integration theory, integral and normal currents in optimization
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