Topological conformal dimension

DOI10.1090/S1088-4173-2015-00274-XzbMath1312.28006arXiv1406.6623MaRDI QIDQ5248105

Claudio A. DiMarco

Publication date: 27 April 2015

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.6623

zbMATH Keywords

metric spaceCantor setstopological dimensionconformal dimensionquasisymmetric map

Mathematics Subject Classification ID

Fractals (28A80) Dimension theory in general topology (54F45) Hausdorff and packing measures (28A78) Quasiconformal mappings in metric spaces (30L10)

Related Items (4)

The ϕ-Topological Conformal Dimension for the Sierpinski Carpet ⋮ The topological Hausdorff dimension and transport properties of Sierpiński carpets ⋮ Topological Hausdorff dimension and geodesic metric of critical percolation cluster in two dimensions ⋮ Fractal curves and rugs of prescribed conformal dimension

Cites Work

• Quasiconformal dimensions of selfsimilar fractals
• Lectures on analysis on metric spaces
• A new fractal dimension: the topological Hausdorff dimension
• Conformal dimension does not assume values between zero and one
• Conformal Dimension: Cantor Sets and Fuglede Modulus
• Quasisymmetric embeddings of metric spaces
• Every complete doubling metric space carries a doubling measure
• Sets of minimal Hausdorff dimension for quasiconformal maps
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