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Nagata dimension and quasi-Möbius maps
Author(s):
Xiangdong
Xie
Journal:
Conform. Geom. Dyn.
12
(2008),
1-9.
MSC (2000):
Primary 54F45, 30C65
Posted:
January 22, 2008
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Additional information
Abstract:
We show that quasi-Möbius maps preserve the Nagata dimension of metric spaces, generalizing a result of U. Lang and T. Schlichenmaier (Int. Math. Res. Not. 2005, no. 58, 3625-3655).
References:
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Additional Information:
Xiangdong
Xie
Affiliation:
Department of Mathematical Sciences, Georgia Southern University, Statesboro, Georgia 30460
Email:
xxie@georgiasouthern.edu
DOI:
10.1090/S1088-4173-08-00173-2
PII:
S 1088-4173(08)00173-2
Keywords:
Nagata dimension,
quasi-M\"obius maps,
metric inversion
Received by editor(s):
January 23, 2007
Posted:
January 22, 2008
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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