Transfinite Hausdorff dimension

DOI10.1016/j.topol.2009.01.025zbMath1181.54040OpenAlexW2059656612MaRDI QIDQ1032919

Mariusz Urbański

Publication date: 5 November 2009

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2009.01.025

zbMATH Keywords

metric spacesHausdorff dimensionLipschitz continuous functionsordinal numberssmall transfinite topological dimensiontransfinite Hausdorff dimension

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dimension theory in general topology (54F45)

Related Items (5)

A new fractal dimension: the topological Hausdorff dimension ⋮ Asymptotic expansion of correlation functions for \({\mathbb{Z}^d}\) covers of hyperbolic flows ⋮ An introduction to the Ribe program ⋮ Fractal dimension for fractal structures: A Hausdorff approach ⋮ Ultrametric subsets with large Hausdorff dimension

Cites Work

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• The Realization of small Distances in Plane Sets of Positive Measure
• On dimensional properties of infinite dimensional spaces

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