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31 p, 287.8 KB Finite curvature of arc length measure implies rectifiability : a new proof / Tolsa Domènech, Xavier (Institució Catalana de Recerca i Estudis Avançats)
If E C C is a set with finite length and finite curvature, then E is rectifiable. This fact, proved by David and Léger in 1999, is one of the basic ingredients for the proof of Vitushkin's conjecture. [...]
2005 - 10.1512/iumj.2005.54.2746
Indiana University mathematics journal, Vol. 54, No. 4 (2005) , p. 1075-1105  

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