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Reifenberg Parameterizations for Sets with Holes
Guy DavidTatiana Toro
出版American Mathematical Soc., 2012
主題Mathematics / Algebra / GeneralMathematics / CalculusMathematics / Geometry / Differential
ISBN08218531049780821853108
URLhttp://books.google.com.hk/books?id=FGy_AwAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋Mathematicians David (U. de Paris-Sud-Orsay) and Toro (U. of Washington-Seattle) extend the proof of Reifenberg's topological disk theorem to allow the case of sets with holes, and give sufficient conditions on a set E for the existence of a bi-Lipschitz parametrization of E by a d-dimensional plane or smooth manifold. Their topics include coherent families of balls and planes, Reifenberg-flatness of the image, variants of the Reifenberg theorem, big pieces of bi-Lipschitz images and approximation by bi-Lipschitz domains, and uniform rectifiability and Ahlfore-regular Reifenberg-flat sets. There is no index. Annotation ©2012 Book News, Inc., Portland, OR (booknews.com).