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Moran Sets and Hyperbolic Boundaries

Published 6 Jun 2012 in math.MG, math.GN, and math.GT | (1206.1143v2)

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 [Indiana U. Math. J. {\bf 58} (2009), 1777-1795]. Moreover, by making use of this, we establish the Lipschitz equivalence of a class of Moran sets.

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