Results 11 to 20 of about 4,543,360 (329)
Asymptotic dimension and the disk graph I: ASYMPTOTIC DIMENSION AND DISK GRAPHS I [PDF]
Journal of Topology, 2019 We show that the asymptotic dimension of a hyperbolic relatively hyperbolic graph is finite, provided that this holds true uniformly for the peripheral subgraphs and for the electrification.
U. Hamenstaedt
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Asymptotic dimension and uniform embeddings
Groups, Geometry, and Dynamics, 2006 We show that the type function of a space with finite asymptotic dimension estimates its Hilbert (or any $l^p$) compression. The method allows to obtain the lower bound of the compression of the lamplighter group $Z\wr Z$, which has infinite asymptotic ...
Gal, S. R.
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On equivariant asymptotic dimension [PDF]
Groups, Geometry, and Dynamics, 2015 The work discusses equivariant asymptotic dimension (also known as "wide equivariant covers", "$N$-$\mathcal F$-amenability" or "amenability dimension", and "$d$-BLR condition") and its generalisation, transfer reducibility, which are versions of ...
Damian Sawicki
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Asymptotic dimension of discrete groups [PDF]
Fundamenta Mathematicae, 2006 We extend Gromov's notion of asymptotic dimension of finitely generated groups to all discrete groups. In particular, we extend the Hurewicz type theorem proven in (B-D2) to general groups. Then we use this extension to prove a formula for the asymptotic
A. Dranishnikov, J. Smith
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Buildings have finite asymptotic dimension [PDF]
Russian Journal of Mathematical Physics, 2007 In this note, we show that the asymptotic dimension of any building is finite and equal to the asymptotic dimension of an apartment in that building.Comment: 4 pages; v2: typos corrected, to appear in Russian Journal of Mathematical Physics, special ...
Dymara, Jan, Schick, Thomas
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, 2007 . The asymptotic dimension theory was founded by Gromov [61] in the early 90s. In this paper we give a survey of its recent history where we emphasize two of its features: an analogy with the dimension theory of compact metric spaces and applications to ...
G. Bell, A. Dranishnikov
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Metric Spaces with Subexponential asymptotic Dimension Growth [PDF]
International Journal of Algebra and Computation, 2011 We prove that a metric space with subexponential asymptotic dimension growth has Yu's property A.
N. Ozawa
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On Asymptotic Dimension of Groups Acting on Trees [PDF]
Geometriae Dedicata, 2001 We prove the following.THEOREM. Let π be the fundamental group of a finite graph of groups with finitely generated vertex groupsGv having asdim Gv≤nfor all vertices v. Then asdim π≤n+1.This gives the best possible estimate for the asymptotic dimension of
Gregory C. Bell, Alexander Dranishnikov
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Borel asymptotic dimension and hyperfinite equivalence relations [PDF]
Duke mathematical journal, 2020 A long standing open problem in the theory of hyperfinite equivalence relations asks if the orbit equivalence relation generated by a Borel action of a countable amenable group is hyperfinite.
Clinton T. Conley +4 more
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On asymptotic Assouad–Nagata dimension
Topology and its Applications, 2007 For a large class of metric space X including discrete groups we prove that the asymptotic Assouad-Nagata dimension AN-asdim X of X coincides with the covering dimension $\dim( _L X)$ of the Higson corona of X with respect to the sublinear coarse structure on X. Then we apply this fact to prove the equality AN-asdim(X x R) = AN-asdim X + 1.
University of Florida, Department of Mathematics, PO Box 118105 Little Hall, Gainesville, FL 32611-8105, USA ( host institution ) +2 more
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