A metric space with transfinite asymptotic dimension \(2\omega+1\)

DOI10.1007/S11401-021-0263-8OpenAlexW3169756080MaRDI QIDQ2047239

Yan Wu, Jingming Zhu

Publication date: 19 August 2021

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.12360

zbMATH Keywords

transfinite asymptotic dimensioncomplementary-finite asymptotic dimensionasymptotic property \(C\)

Mathematics Subject Classification ID

Geometric group theory (20F65) Asymptotic properties of groups (20F69)

Cites Work

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• On transfinite extension of asymptotic dimension
• The Novikov conjecture for groups with finite asymptotic dimension
• Classification of metric spaces with infinite asymptotic dimension
• The relationship between asymptotic decomposition properties
• A metric space with its transfinite asymptotic dimension \(\omega + 1\)
• Asymptotic topology
• Amenable group actions and the Novikov conjecture

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