Coarse structures on groups

DOI10.1016/j.topol.2012.06.009zbMath1247.22003arXiv1201.4687OpenAlexW2079510693MaRDI QIDQ441419

David Rosenthal, Andrew J. Nicas

Publication date: 23 August 2012

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

Full work available at URL: https://arxiv.org/abs/1201.4687

zbMATH Keywords

asymptotic dimensioncoarse structureHausdorff topological group

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) Asymptotic properties of groups (20F69) Dimension theory in general topology (54F45)

Related Items (10)

A general theory for ends ⋮ Coarse metric and uniform metric ⋮ The impact of Pontryagin and Bohr functors on large-scale properties of locally compact abelian groups ⋮ On a notion of entropy in coarse geometry ⋮ Some categorical aspects of coarse spaces and balleans ⋮ Categories of coarse groups: quasi-homomorphisms and functorial coarse structures ⋮ Generalisations of coarse spaces ⋮ Coarse direct products and property {C} ⋮ Locally Roelcke precompact Polish groups ⋮ Asymptotic resemblance relations on groups

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• Asymptotic dimension and the integral \(K\)-theoretic Novikov conjecture for arithmetic groups
• Proper actions on topological groups: Applications to quotient spaces
• Asymptotic dimension of discrete groups
• Free Topological Groups with no Small Subgroups

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