Assouad dimension, Nagata dimension, and uniformly close metric tangents

DOI10.1512/iumj.2015.64.5469zbMath1321.54059arXiv1306.5859OpenAlexW2963531901WikidataQ109520642 ScholiaQ109520642MaRDI QIDQ5248689

Enrico Le Donne, Tapio Rajala

Publication date: 8 May 2015

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.5859

zbMATH Keywords

sub-Riemannian manifoldsAssouad dimensionmetric tangentsNagata dimension

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Dimension theory in general topology (54F45) Sub-Riemannian geometry (53C17)

Related Items (12)

Metric currents and Alberti representations ⋮ Distance sets, orthogonal projections and passing to weak tangents ⋮ Ahlfors regularity and fractal dimension of Smale spaces ⋮ Undistorted fillings in subsets of metric spaces ⋮ Pointwise Assouad dimension for measures ⋮ Approximating spaces of Nagata dimension zero by weighted trees ⋮ Polynomial growth and asymptotic dimension ⋮ A non-injective Assouad-type theorem with sharp dimension ⋮ On the Assouad dimension and convergence of metric spaces ⋮ New dimension spectra: finer information on scaling and homogeneity ⋮ On the Lipschitz dimension of Cheeger–Kleiner ⋮ Higher rank hyperbolicity

This page was built for publication: Assouad dimension, Nagata dimension, and uniformly close metric tangents