Asymptotic resemblance

DOI10.1216/RMJ-2016-46-4-1231zbMath1355.53019arXiv1310.6313MaRDI QIDQ329919

Sh. Kalantari, Bijan Honari

Publication date: 24 October 2016

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.6313

zbMATH Keywords

proximityHigson compactificationasymptotic dimensioncoarse structureasymptotic resemblance

Mathematics Subject Classification ID

Metric geometry (51F99) Extension of maps (54C20) Connections (general theory) (53C05)

Related Items (10)

Coarse proximity and proximity at infinity ⋮ A general theory for ends ⋮ A concept for resemblance in large scale geometry ⋮ Boundaries of coarse proximity spaces and boundaries of compactifications ⋮ Coproducts of proximity spaces ⋮ A new inductive approach for counting dimension in large scale ⋮ On large scale inductive dimension of asymptotic resemblance spaces ⋮ A totally bounded uniformity on coarse metric spaces ⋮ Normality conditions of structures in coarse geometry and an alternative description of coarse proximities ⋮ Asymptotic resemblance relations on groups

Cites Work

• An alternative definition of coarse structures
• Asymptotic dimension
• Normal ball structures
• Simultaneous metrizability of coarse spaces
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