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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Abstract
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 [2].
| Type: | Proceedings paper |
|---|---|
| Title: | Structure of null sets in the plane and applications |
| Event: | 4th European Congress of Mathematics (4ECM) |
| Location: | Stockholm, SWEDEN |
| Dates: | 2004-06-27 - 2004-07-02 |
| ISBN: | 3-03719-009-4 |
| 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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