Moran Sets and Hyperbolic Boundaries
Metric Geometry
2013-07-23 v2 General Topology
Geometric Topology
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.
Cite
@article{arxiv.1206.1143,
title = {Moran Sets and Hyperbolic Boundaries},
author = {Jun Jason Luo},
journal= {arXiv preprint arXiv:1206.1143},
year = {2013}
}
Comments
14 pages, 1 figure