Asymptotic dimension, decomposition complexity, and Haver's property C

DOI10.1016/j.topol.2014.02.035zbMath1297.54064arXiv1301.3484OpenAlexW2962693356MaRDI QIDQ2448753

Alexander N. Dranishnikov, Mykhailo Zarichnyi

Publication date: 5 May 2014

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

Full work available at URL: https://arxiv.org/abs/1301.3484

zbMATH Keywords

asymptotic property Cproperty Cfinite decomposition complexity (FDC)straight FDC

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Dimension theory in general topology (54F45)

Related Items (20)

Coarse property C and decomposition complexity ⋮ Remarks on straight finite decomposition complexity ⋮ A quasi-local characterisation of \(L^{p}\)-Roe algebras ⋮ COARSE COHERENCE OF METRIC SPACES AND GROUPS AND ITS PERMANENCE PROPERTIES ⋮ Topological rigidity of higher graph manifolds ⋮ Asymptotic property C of the wreath product \(\mathbb{Z} \wr \mathbb{Z}\) ⋮ Dimension of compact metric spaces ⋮ Classification of metric spaces with infinite asymptotic dimension ⋮ Coarse quotients of metric spaces and embeddings of uniform Roe algebras ⋮ Extension properties of asymptotic property C and finite decomposition complexity ⋮ Relative commutant pictures of Roe algebras ⋮ Decomposition theorems for asymptotic property C and property A ⋮ Matrix algebra of sets and variants of decomposition complexity ⋮ On the stability of asymptotic property C for products and some group extensions ⋮ Extending properties to relatively hyperbolic groups ⋮ Asymptotic property C of the countable direct sum of the integers ⋮ Countable dimensionality, a game and the Haver property ⋮ Quasi-locality and property A ⋮ Coarse infinite-dimensionality of hyperspaces of finite subsets ⋮ Preserving coarse properties

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