Geodesic
A new proof of Federer’s structure theorem for 𝑘-dimensional subsets of 𝐑^{𝐍}
White, Brian1
1 Department of Mathematics, Stanford University, Stanford, California 94305
Journal of the American Mathematical Society, Tome 11 (1998) no. 3, pp. 693-701

Voir la notice de l'article provenant de la source American Mathematical Society

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.
DOI : 10.1090/S0894-0347-98-00267-7

White, Brian 1

1 Department of Mathematics, Stanford University, Stanford, California 94305 
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White, Brian. A new proof of Federer’s structure theorem for 𝑘-dimensional subsets of 𝐑^{𝐍}. Journal of the American Mathematical Society, Tome 11 (1998) no. 3, pp. 693-701. doi: 10.1090/S0894-0347-98-00267-7

[1] Falconer, K. J. The geometry of fractal sets 1986

[2] Birkhoff, Garrett, Ward, Morgan A characterization of Boolean algebras Ann. of Math. (2) 1939 609 610

[3] Federer, Herbert Geometric measure theory 1969

[4] Mattila, Pertti Geometry of sets and measures in Euclidean spaces 1995

[5] Simon, Leon Lectures on geometric measure theory 1983

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