Hurewicz and Dranishnikov-Smith theorems for asymptotic dimension of countable approximate groups

DOI10.1016/J.TOPOL.2024.108905MaRDI QIDQ6496893

Tobias Hartnick, Vera Tonić

Publication date: 6 May 2024

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

asymptotic dimensionapproximate group

Mathematics Subject Classification ID

Asymptotic properties of groups (20F69) Other generalizations of groups (20N99) Lipschitz and coarse geometry of metric spaces (51F30)

Cites Work

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• Metric geometry of locally compact groups
• Asymptotic dimension
• On asymptotic dimension of groups
• The structure of approximate groups.
• Product set estimates for non-commutative groups
• On asymptotic dimension of countable Abelian groups.
• Asymptotic dimension of discrete groups
• A Hurewicz-type theorem for asymptotic dimension and applications to geometric group theory
• A Hurewicz theorem for the Assouad-Nagata dimension

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