Hyperbolic groups have finite asymptotic dimension
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- by John Roe PDF
- Proc. Amer. Math. Soc. 133 (2005), 2489-2490 Request permission
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.References
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Additional Information
- John Roe
- Affiliation: Department of Mathematics, Penn State University, University Park, Pennsylvania 16802
- Email: roe@math.psu.edu
- 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
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 133 (2005), 2489-2490
- MSC (2000): Primary 20F67; Secondary 55M10
- DOI: https://doi.org/10.1090/S0002-9939-05-08138-4
- MathSciNet review: 2146189