Geometric measure theory: selected concepts, results and problems

Chlebik, Miroslav (2002) Geometric measure theory: selected concepts, results and problems. In: Pap, E (ed.) Handbook of measure theory. North-Holland, pp. 1011-1036. ISBN 9780444502636

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One of the main themes of geometric measure theory is the detailed study of geometric properties of general sets and Borel measures in ℝn. The first decades after Carathéodory's fundamental paper in 1914 were spent studying how subsets of ℝn behave with respect to m-dimensional measures, mainly Hausdorff-like. Geometric measure theory originates in the pioneering work done by Besicovitch on the structure of the subsets of the plane having finite one-dimensional Hausdorff measure.

Item Type: Book Section
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Depositing User: Miroslav Chlebik
Date Deposited: 06 Feb 2012 20:19
Last Modified: 10 Jul 2012 09:45
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