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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Hyperbolic groups have finite asymptotic dimension


Author: John Roe
Journal: Proc. Amer. Math. Soc. 133 (2005), 2489-2490
MSC (2000): Primary 20F67; Secondary 55M10
Published electronically: April 8, 2005
MathSciNet review: 2146189
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Abstract: We detail a proof of a result of Gromov, that hyperbolic groups (and metric spaces) have finite asymptotic dimension. This fact has become important in recent work on the Novikov conjecture.


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Additional Information

John Roe
Affiliation: Department of Mathematics, Penn State University, University Park, Pennsylvania 16802
Email: roe@math.psu.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-05-08138-4
PII: S 0002-9939(05)08138-4
Keywords: Gromov hyperbolicity, coarse geometry, asymptotic dimension
Received by editor(s): May 1, 2002
Published electronically: April 8, 2005
Additional Notes: The author was supported in part by NSF Grant #0100464.
Communicated by: Mohan Ramachandran
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.