METRIC SPACES WITH SUBEXPONENTIAL ASYMPTOTIC DIMENSION GROWTH

DOI10.1142/S0218196711006777zbMath1238.54015arXiv1108.3165OpenAlexW2963564702MaRDI QIDQ5389111

Narutaka Ozawa

Publication date: 24 April 2012

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.3165

zbMATH Keywords

asymptotic dimensionYu's property Acoarse metric space

Mathematics Subject Classification ID

Metric geometry (51F99) Asymptotic properties of groups (20F69) Dimension theory in general topology (54F45)

Related Items (6)

An intermediate quasi-isometric invariant between subexponential asymptotic dimension growth and Yu's property A ⋮ On the dimension growth of groups. ⋮ Corrigendum to ``On the dimension growth of groups. ⋮ Asymptotic dimension, decomposition complexity, and Haver's property C ⋮ A characterization for asymptotic dimension growth ⋮ The relationship between asymptotic decomposition properties

Cites Work

• The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
• Groups with a polynomial dimension growth.

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