A new proof of Federer’s structure theorem for 𝑘-dimensional subsets of 𝐑^{𝐍}

White, Brian

doi:10.1090/S0894-0347-98-00267-7

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

J. Amer. Math. Soc. 11 (1998), 693-701

DOI: https://doi.org/10.1090/S0894-0347-98-00267-7

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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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