Universal measure zero, large Hausdorff dimension, and nearly Lipschitz maps

DOI10.4064/fm218-2-1zbMath1261.28009OpenAlexW2094961742MaRDI QIDQ2900982

Ondřej Zindulka

Publication date: 27 July 2012

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/fm218-2-1

zbMATH Keywords

Cantor cubeHausdorff dimensionmonotone spaceuniversally meageruniversally nullnearly Lipschitz mappingupper Hausdorff dimension

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Dimension theory in general topology (54F45) Hausdorff and packing measures (28A78)

Related Items (10)

RESOLVABILITY PROPERTIES OF SIMILAR TOPOLOGIES ⋮ MEAGER-ADDITIVE SETS IN TOPOLOGICAL GROUPS ⋮ Mapping analytic sets onto cubes by little Lipschitz functions ⋮ Properties of functions with monotone graphs ⋮ How constructive is constructing measures? ⋮ A Cantor set in the plane and its monotone subsets ⋮ Strong measure zero in Polish groups ⋮ Strong measure zero and meager-additive sets through the prism of fractal measures ⋮ Some results on monotone metric spaces ⋮ Restricted Hausdorff content, Frostman's lemma and Choquet integrals

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