Download E-books Rectifiable Sets, Densities and Tangent Measures (Zurich Lectures in Advanced Mathematics) PDF

By Camillo De Lellis

The characterization of rectifiable units in the course of the lifestyles of densities is a pearl of geometric degree concept. The tricky facts, as a result of Preiss, will depend on many appealing and deep principles and novel options. a few of them have already confirmed worthwhile in different contexts, while others haven't but been exploited. those notes supply an easy and brief presentation of the previous and supply a few point of view of the latter. this article emerged from a direction on rectifiability given on the collage of Zurich. it truly is addressed either to researchers and scholars; the single prerequisite is a superior wisdom in usual degree idea. the 1st 4 chapters supply an creation to rectifiable units and measures in Euclidean areas, masking classical subject matters akin to the realm formulation, the concept of Marstrand and the main hassle-free rectifiability criterions. The 5th bankruptcy is devoted to a refined rectifiability criterion as a result of Marstrand and generalized by way of Mattila, and the final 3 specialise in Preiss' end result. the purpose is to supply a self-contained reference for a person attracted to an outline of this attention-grabbing subject.

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