Annales Academię Scientiarum Fennicę
Mathematica
Volumen 38, 2013, 377-388
Shantou University, Department of Mathematics
Shantou 515063, P.R. China; luojun2011 'at' yahoo.com.cn
Abstract. In the paper, we prove that a Moran set is homeomorphic to the hyperbolic boundary of the representing symbolic space in the sense of Gromov, which generalizes the results of Lau and Wang [10]. Moreover, by making use of this, we establish the Lipschitz equivalence of a class of Moran sets.
2010 Mathematics Subject Classification: Primary 28A80.
Key words: Moran set, augmented tree, hyperbolic boundary, Lipschitz equivalence.
Reference to this article: J.J. Luo: Moran sets and hyperbolic boundaries. Ann. Acad. Sci. Fenn. Math. 38 (2013), 377-388.
doi:10.5186/aasfm.2013.3814
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