Moran Sets and Hyperbolic Boundaries
classification
🧮 math.MG
math.GNmath.GT
keywords
moranhyperbolicsetsboundariesboundaryclassequivalenceestablish
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.