Results 11 to 20 of about 1,269,954 (273)
On asymptotic Assouad–Nagata dimension [PDF]
Topology and its Applications, 2007 28 pages, 0 ...
University of Florida, Department of Mathematics, PO Box 118105 Little Hall, Gainesville, FL 32611-8105, USA ( host institution ) +2 more
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Topology and its Applications, 2008 Added some remarks about coarse equivalence of finitely generated groups.
Mathematics +3 more
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Asymptotic dimension of fuzzy metric spaces [PDF]
Fuzzy Sets and Systems, 2022 22 ...
Grzegrzolka, Pawel
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Universal spaces for asymptotic dimension [PDF]
Topology and its Applications, 2004 24 pages, 1 ...
Department of Mathematics, University of Florida Little Hall, P.O. Box 118105, Gainesville, FL 32611-8105, USA ( host institution ) +2 more
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Complexity of finite Borel asymptotic dimension
Forum of Mathematics, SigmaWe show that the set of locally finite Borel graphs with finite Borel asymptotic dimension is $\boldsymbol {\Sigma }^1_2$ -complete. The result is based on a combinatorial characterization of finite Borel asymptotic dimension for graphs generated ...
Jan Grebík, Cecelia Higgins
doaj +3 more sources
METRIC SPACES WITH SUBEXPONENTIAL ASYMPTOTIC DIMENSION GROWTH [PDF]
International Journal of Algebra and Computation, 2012 We prove that a metric space with subexponential asymptotic dimension growth has Yu's property A.
NARUTAKA OZAWA
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On the dynamic asymptotic dimension of étale groupoids [PDF]
Mathematische Zeitschrift, 2023 AbstractWe investigate the dynamic asymptotic dimension for étale groupoids introduced by Guentner, Willett and Yu. In particular, we establish several permanence properties, including estimates for products and unions of groupoids. We also establish invariance of the dynamic asymptotic dimension under Morita equivalence.
Bönicke, Christian
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Asymptotic hereditary asphericity of metric spaces of asymptotic dimension 1 [PDF]
Topology and its Applications, 2010 \textit{T. Januszkiewicz} and \textit{J. Świątkowski} introduced the concept of asymptotic hereditary asphericity (AHA) [in Geom. Topol. 11, 727-758 (2007; Zbl 1188.20043)]. Using this property, they showed that there exist hyperbolic groups of arbitrary cohomological dimension containing no subgroups isomorphic to fundamental groups of closed ...
Zubik, Joanna, Joanna Zubik
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The Asymptotic Dimension of the First Grigorchuk Group Is Infinity [PDF]
Revista Matemática Complutense, 2007 3 ...
Smith, Justin
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Polynomial growth and asymptotic dimension [PDF]
, 2023 Bonamy et al. [4] showed that graphs of polynomial growth have finite asymptotic dimension. We refine their result showing that a graph of polynomial growth strictly less than nk+1 has asymptotic dimension at most k.
Panos Papasoglu, Papazoglou, Panagiotis
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