Finite asymptotic dimension for CAT(0) cube complexes.

DOI10.2140/gt.2012.16.527zbMath1327.20047arXiv1004.4172OpenAlexW3101724560MaRDI QIDQ422828

Nick J. Wright

Publication date: 18 May 2012

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.4172

zbMATH Keywords

asymptotic dimensionsmall cancellation groupsCAT(0) cube complexes

Mathematics Subject Classification ID

Geometric group theory (20F65) Asymptotic properties of groups (20F69) Dimension theory in general topology (54F45)

Related Items (12)

Metrics on visual boundaries of CAT(0) spaces ⋮ Cubulation of some triangle-free Artin groups ⋮ Asymptotic dimension of graphs of groups and one-relator groups ⋮ Projection complexes and quasimedian maps ⋮ Decay of scalar curvature on uniformly contractible manifolds with finite asymptotic dimension ⋮ Burghelea conjecture and asymptotic dimension of groups ⋮ A characterization for asymptotic dimension growth ⋮ Dynamic asymptotic dimension: relation to dynamics, topology, coarse geometry, and \(C^\ast\)-algebras ⋮ Finiteness properties of cubulated groups ⋮ Finitely \(\mathcal{F}\)-amenable actions and decomposition complexity of groups ⋮ The Tits alternative for finite rank median spaces ⋮ \(L^p\) coarse Baum-Connes conjecture and \(K\)-theory for \(L^p\) Roe algebras

Cites Work

• On asymptotic dimension of amalgamated products and right-angled Coxeter groups.
• Property \(A\) and \(\text{CAT}(0)\) cube complexes.
• The geometry of cube complexes and the complexity of their fundamental groups
• Finiteness and CAT(0) properties of diagram groups.
• Cubulating spaces with walls.
• Cubulating small cancellation groups.
• On the dimension growth of groups.
• Cubulating random groups at density less than $1/6$
• FROM WALL SPACES TO CAT(0) CUBE COMPLEXES
• A Hurewicz-type theorem for asymptotic dimension and applications to geometric group theory
• Groups acting on cubes and Kazhdan’s property (T)
• Ends of Group Pairs and Non-Positively Curved Cube Complexes
• Dimensions of locally and asymptotically self-similar spaces
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