Lowering the Assouad dimension by quasisymmetric mappings
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Publication:5954285
zbMath0989.30017MaRDI QIDQ5954285
Publication date: 14 February 2002
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Special maps on metric spaces (54E40) Dimension theory in general topology (54F45)
Related Items (13)
Assouad dimension of self-affine carpets ⋮ Quasisymmetric dimension distortion of Ahlfors regular subsets of a metric space ⋮ An intermediate-value property for Assouad dimension of metric space ⋮ Quasiconformal dimensions of selfsimilar fractals ⋮ On quasisymmetric embeddings of the Brownian map and continuum trees ⋮ Some invariant properties of quasi-Möbius maps ⋮ On Assouad dimension of products ⋮ Quasiconformal distortion of the Assouad spectrum and classification of polynomial spirals ⋮ New dimension spectra: finer information on scaling and homogeneity ⋮ On the Assouad dimension of self-similar sets with overlaps ⋮ Conformal dimension does not assume values between zero and one ⋮ Global conformal Assouad dimension in the Heisenberg group ⋮ Sets of minimal Hausdorff dimension for quasiconformal maps
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