A new proof of Federer's structure theorem for k-dimensional subsets of RN

Journal of the American Mathematical Society

Volumn 11, Issue 3, 1998, Pages 693-701

  White, Brian ^a  

^a STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032362491     PISSN: 08940347     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0894-0347-98-00267-7     Document Type: Article

References (9)

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2. A. S. Besicovitch, On the fundamental geometrical properties of linearly measurable plane sets of points I, Math. Ann. 98 (1928), 422-464; II, Math. Ann 115 (1938), 296-329; III, Math. Ann 116 (1939), 349-357.
3. A. S. Besicovitch, On the fundamental geometrical properties of linearly measurable plane sets of points I, Math. Ann. 98 (1928), 422-464; II, Math. Ann 115 (1938), 296-329; III, Math. Ann 116 (1939), 349-357.
4. K. Falconer, The geometry of fractal sets. Cambridge U. Press, 1985. MR 88d:28001
5. H. Federer, The (ø, k)-rectifiable subsets of n space, Trans. Amer. Math. Soc. 62 (1947), 114-192. MR 9:231c
6. H. Federer, Geometric Measure Theory, Springer-Verlag, 1969. MR 41:1976
7. P. Jones, N. Katz, and A. Vargas, Checkerboards, Lipschitz functions and uniform rectifiability, Rev. Mat. Iberoamericana 13 (1997), 189-210. CMP 97:16
8. P. Mattila, Geometry of sets and measures in euclidean spaces: fractals and rectifiability, Cambridge U. Press, 1995. MR 96h:28006
9. L. Simon, Lectures on geometric measure theory, Australian National Univ., Canberra, 1983. MR 87a:49001