Algebraic characterization of quasi-isometric spaces via the Higson compactification

DOI10.1016/j.topol.2011.05.036zbMath1220.53058arXiv1311.3488OpenAlexW2009917191MaRDI QIDQ554432

Alberto Candel, Jesús A. Álvarez López

Publication date: 4 August 2011

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

Full work available at URL: https://arxiv.org/abs/1311.3488

zbMATH Keywords

metric spacequasi-isometryHigson compactificationcoarse spacecoarse mapsHigson algebra

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Special maps on metric spaces (54E40)

Related Items (2)

Indecomposable continua as Higson coronae ⋮ Chaotic Delone sets

Cites Work

• Rough isometries, and combinatorial approximations of geometries of non- compact Riemannian manifolds
• On the Higson corona of uniformly contractible spaces
• Topological invariants of dynamical systems and spaces of holomorphic maps. I.
• Étude d'une classe d'applications liees à des homomorphismes d'algèbres de fonctions, et généralisant les quasi conformes
• Royden algebras and quasi-isometries of Riemannian manifolds
• Algebraic Criterion on Quasiconformal Equivalence of Riemann Surfaces
• Characteristic classes for Riemannian foliations
• Aperiodic Tilings, Positive Scalar Curvature, and Amenability of Spaces
• On the Higson-Roe corona
• Coarse cohomology and index theory on complete Riemannian manifolds
• Quasiconformal Mappings and Royden Algebras in Space
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
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