Asymptotic dimension and small subsets in locally compact topological groups

DOI10.1007/s10711-013-9862-1zbMath1302.54068arXiv1210.6747OpenAlexW3105724564WikidataQ59398010 ScholiaQ59398010MaRDI QIDQ2248898

Nadya Lyaskovska, Ostap Chervak, Taras Banakh

Publication date: 27 June 2014

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.6747

zbMATH Keywords

locally compact groupabelian groupasymptotic dimensioncoarse structureentouragesmall set

Mathematics Subject Classification ID

Geometric group theory (20F65) Asymptotic properties of groups (20F69) Dimension theory in general topology (54F45) General properties and structure of locally compact groups (22D05) Dimension theory in algebraic topology (55M10)

Related Items (4)

Preservation and reflection of size properties of balleans ⋮ The impact of Pontryagin and Bohr functors on large-scale properties of locally compact abelian groups ⋮ Some categorical aspects of coarse spaces and balleans ⋮ Categories of coarse groups: quasi-homomorphisms and functorial coarse structures

Cites Work

• Wreath products and finitely presented groups
• Elements of asymptotic geometry
• A remark on asymptotic dimension and digital dimension of finite metric spaces.
• Completeness of invariant ideals in groups
• Asymptotic dimension of discrete groups
• Asymptotic dimension of finitely presented groups
• The coarse classification of countable abelian groups
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