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Luigi Ambrosio, Scuola Normale Superiore, Pisa, Italy Sets of finite perimeter, BV functions, currents in metric spaces.
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| We describe some recent progress on the theory of sets of
finite perimeter, currents, and rectifiability in metric spaces, reviewing
in the beginning the classical theories. We also discuss the relation
between intrinsic and extrinsic theories for rectifiability. |