# A new proof of the rectifiable slices theorem

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (2002)

- Volume: 1, Issue: 4, page 905-924
- ISSN: 0391-173X

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topJerrard, Robert L.. "A new proof of the rectifiable slices theorem." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 1.4 (2002): 905-924. <http://eudml.org/doc/84491>.

@article{Jerrard2002,

abstract = {This paper gives a new proof of the fact that a $k$-dimensional normal current $T$ in $\mathbb \{R\}^m$ 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.},

author = {Jerrard, Robert L.},

journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},

keywords = {normal currents},

language = {eng},

number = {4},

pages = {905-924},

publisher = {Scuola normale superiore},

title = {A new proof of the rectifiable slices theorem},

url = {http://eudml.org/doc/84491},

volume = {1},

year = {2002},

}

TY - JOUR

AU - Jerrard, Robert L.

TI - A new proof of the rectifiable slices theorem

JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

PY - 2002

PB - Scuola normale superiore

VL - 1

IS - 4

SP - 905

EP - 924

AB - This paper gives a new proof of the fact that a $k$-dimensional normal current $T$ in $\mathbb {R}^m$ 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.

LA - eng

KW - normal currents

UR - http://eudml.org/doc/84491

ER -

## References

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