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On asymptotic dimension of countable Abelian groups

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jun 2006Embargo end date: 01 Jan 2005 English Publisher:Elsevier BVJournal:Topology and its Applications, volume 153, pages 2,047-2,054 (issn: 0166-8641, Copyright policy )
Authors: University of Florida, Department of Mathematics, PO Box 118105 Little Hall, Gainesville, FL 32611-8105, USA ( host institution ); Smith, J. ( author );

doi: 10.1016/j.topol.2005.07.011 , 10.48550/arxiv.math/0504447

arXiv: http://arxiv.org/abs/math/0504447

On asymptotic dimension of countable Abelian groups

Abstract

We compute the asymptotic dimension of the rationals given with an invariant proper metric. Also, we show that a countable torsion abelian group taken with an invariant proper metric has asymptotic dimension zero.

9 pages, 1 figure, AMSTeX

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Keywords

Mathematics - Geometric Topology, Abelian group, FOS: Mathematics, 20F69, Geometric Topology (math.GT), Asymptotic dimension, Geometry and Topology, Group Theory (math.GR), Mathematics - Group Theory

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
24
Top 10%
Top 10%
Average
Green
hybrid