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Hausdorff dimension of uniformly non-flat sets with topology

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Publication:1432100
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DOI10.5565/PUBLMAT_48104_09zbMath1065.49028OpenAlexW1977956420MaRDI QIDQ1432100

Guy David

Publication date: 14 June 2004

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/41497


zbMATH Keywords

Hausdorff dimensionuniform rectifiabilityAlmgren quasiminimal sets


Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Length, area, volume, other geometric measure theory (28A75) Fractals (28A80)


Related Items (8)

Sublinear measures, Menger curvature, and Hausdorff dimension ⋮ Extendability of classes of maps and new properties of upper sets ⋮ A \(d\)-dimensional analyst's travelling salesman theorem for subsets of Hilbert space ⋮ Flatness properties of quasispheres ⋮ Gromov hyperbolic discrete spaces and their application to extension of classes of mappings ⋮ Hausdorff dimension of wiggly metric spaces ⋮ On arithmetic sums of fractal sets in Rd ⋮ The restricted content and the \(d\)-dimensional Analyst's travelling salesman theorem for general sets




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