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Journal of the American Mathematical Society
Journal of the American Mathematical Society
ISSN 1088-6834(online) ISSN 0894-0347(print)


A new proof
of Federer's structure theorem
for $k$-dimensional subsets of $\mathbf{R}^{N}$

Author: Brian White
Journal: J. Amer. Math. Soc. 11 (1998), 693-701
MSC (1991): Primary 28A75, 28A78
MathSciNet review: 1603866
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Abstract: We prove that Federer's structure theorem for $k$-dimensional sets in $\mathbf{R}^{N}$ follows from the special case of $1$-dimensional sets in the plane, which was proved earlier by Besicovitch.

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Additional Information

Brian White
Affiliation: Department of Mathematics, Stanford University, Stanford, California 94305

PII: S 0894-0347(98)00267-7
Received by editor(s): September 15, 1997
Received by editor(s) in revised form: February 12, 1998
Additional Notes: The author was partially funded by NSF grant DMS-95-04456.
Article copyright: © Copyright 1998 American Mathematical Society