Normality conditions of structures in coarse geometry and an alternative description of coarse proximities

zbMath1416.54012arXiv1807.00885MaRDI QIDQ5742889

Jeremy Siegert, Pawel Grzegrzolka

Publication date: 8 May 2019

Full work available at URL: https://arxiv.org/abs/1807.00885

zbMATH Keywords

proximityasymptotically normalcoarse topologycoarse spacescoarse proximityasymptotic resemblance spacecoarse neighborhoodcoarse normalitylarge scale normality

Mathematics Subject Classification ID

Metric geometry (51F99) Uniform structures and generalizations (54E15) Proximity structures and generalizations (54E05)

Related Items (2)

Boundaries of coarse proximity spaces and boundaries of compactifications ⋮ Coproducts of proximity spaces

Cites Work

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• Asymptotic resemblance
• Dynamic asymptotic dimension: relation to dynamics, topology, coarse geometry, and \(C^\ast\)-algebras
• Expanders, exact crossed products, and the Baum-Connes conjecture
• Asymptotic dimension
• The Novikov conjecture for groups with finite asymptotic dimension
• Coarse proximity and proximity at infinity
• Extension theorems for large scale spaces via coarse neighbourhoods
• The maximal coarse Baum-Connes conjecture for spaces which admit a fibred coarse embedding into Hilbert space
• Asymptotic topology
• EXACTNESS AND UNIFORM EMBEDDABILITY OF DISCRETE GROUPS

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