Local uniform rectifiability of uniformly distributed measures
نویسنده
چکیده
The study of uniformly distributed measures was crucial in Preiss’ proof of his theorem on rectifiability of measures with positive density. It is known that the support of a uniformly distributed measure is an analytic variety. In this paper, we provide quantitative information on the rectifiability of this variety. Tolsa had already shown that n-uniform measures are uniformly rectifiable. Here, we prove that a uniformly distributed measure is locally uniformly rectifiable.
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