A new proof of the rectifiable slices theorem
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 1 (2002) no. 4, pp. 905-924.

This paper gives a new proof of the fact that a k-dimensional normal current T in ℝ m is integer multiplicity rectifiable if and only if for every projection P onto a k-dimensional subspace, almost every slice of T by P is 0-dimensional integer multiplicity rectifiable, in other words, a sum of Dirac masses with integer weights. This is a special case of the Rectifiable Slices Theorem, which was first proved a few years ago by B. White.

Classification : 49Q15 
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Jerrard, Robert L. A new proof of the rectifiable slices theorem. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 1 (2002) no. 4, pp. 905-924. http://www.numdam.org/item/ASNSP_2002_5_1_4_905_0/

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