Geodesic spaces of low Nagata dimension

DOI10.54330/afm.112472zbMath1486.53088arXiv2004.10576OpenAlexW3215518424MaRDI QIDQ5016775

Urs Lang, Martina Jørgensen

Publication date: 14 December 2021

Published in: Annales Fennici Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.10576

zbMATH Keywords

planar graphHadamard manifoldAssouad-Nagata dimensionasymptotic dimensionabsolute Lipschitz retract

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Dimension theory in general topology (54F45) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Direct methods ((G)-spaces of Busemann, etc.) (53C70)

Related Items

Approximating spaces of Nagata dimension zero by weighted trees ⋮ Polynomial growth and asymptotic dimension ⋮ A non-injective Assouad-type theorem with sharp dimension ⋮ Triangulations of uniform subquadratic growth are quasi-trees ⋮ Geodesic spaces of low Nagata dimension

Cites Work

• Extension of Lipschitz maps into 3-manifolds
• Manifolds of nonpositive curvature
• Geometry of horospheres
• A Hurewicz-type theorem for asymptotic dimension and applications to geometric group theory
• A Hurewicz theorem for the Assouad-Nagata dimension
• Geodesic spaces of low Nagata dimension
• Asymptotic dimension of planes and planar graphs
• Extensions of Lipschitz maps into Hadamard spaces
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