. . . . "RIV/68407700:21110/12:00203412" . "Zindulka, Ond\u0159ej" . "Universal measure zero, large Hausdorff dimension, and nearly Lipschitz maps." . "1"^^ . "Universal measure zero, large Hausdorff dimension, and nearly Lipschitz maps."@en . . "218" . "[E4D0D07F453F]" . "Fundamenta Mathematicae" . "We prove that each analytic set contains a universally null set of the same Hausdorff dimension and that each metric space contains a universally null set of Hausdorff dimension no less than the topological dimension of the space. Similar results also hold for universally meager sets. An essential part of the construction involves an analysis of Lipschitz-like mappings of separable metric spaces onto Cantor cubes and self-similar sets."@en . "1"^^ . "Universally null; universally meager; Hausdorff dimension; upperHausdorff dimension; Cantor cube, nearly Lipschitz mapping, monotone metric space"@en . . "2" . . "Z(MSM6840770006)" . . "Universal measure zero, large Hausdorff dimension, and nearly Lipschitz maps." . . "We prove that each analytic set contains a universally null set of the same Hausdorff dimension and that each metric space contains a universally null set of Hausdorff dimension no less than the topological dimension of the space. Similar results also hold for universally meager sets. An essential part of the construction involves an analysis of Lipschitz-like mappings of separable metric spaces onto Cantor cubes and self-similar sets." . "PL - Polsk\u00E1 republika" . "0016-2736" . "RIV/68407700:21110/12:00203412!RIV13-MSM-21110___" . "176004" . . . "10.4064/fm218-2-1" . "25"^^ . . "21110" . . "000310111200001" . . . . . . . . "Universal measure zero, large Hausdorff dimension, and nearly Lipschitz maps."@en .