Ambrosio, Luigi On some recent developments of the theory of sets of finite perimeter. (English) Zbl 1225.49039 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 14, No. 3, 179-187 (2003). 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. Cited in 1 Document MSC: 49Q15 Geometric measure and integration theory, integral and normal currents in optimization Keywords:sets of finite perimeter; BV functions; currents; rectifiability; plateau problem PDFBibTeX XMLCite \textit{L. Ambrosio}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 14, No. 3, 179--187 (2003; Zbl 1225.49039)