Alberti, G and Csornyei, M and Preiss, D (2005) Structure of null sets in the plane and applications. In: Laptev, A, (ed.) European Congress of Mathematics. (pp. 3 - 22). EUROPEAN MATHEMATICAL SOC
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We describe a decomposition result for Lebesgue negligible sets in the plane, and outline some applications to real analysis and geometric measure theory. These results are contained in .
|Title:||Structure of null sets in the plane and applications|
|Event:||4th European Congress of Mathematics (4ECM)|
|Dates:||2004-06-27 - 2004-07-02|
|Keywords:||decomposition of null sets, functions of bounded variation, Rademacher theorem, differentiability of Lipschitz maps, normal currents, Dilworth's lemma, LIPSCHITZ FUNCTIONS, DIFFERENTIABILITY, SPACE|
|UCL classification:||UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics|
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