Lipschitz equivalence of Cantor sets and irreducibility of polynomials
Geometric Topology
2019-10-07 v1 General Topology
Rings and Algebras
Abstract
In the paper, we provide an effective method for the Lipschitz equivalence of two-branch Cantor sets and three-branch Cantor sets by studying the irreducibility of polynomials. We also find that any two Cantor sets are Lipschitz equivalent if and only if their contraction vectors are equivalent provided one of the contraction vectors is homogeneous.
Keywords
Cite
@article{arxiv.1702.03830,
title = {Lipschitz equivalence of Cantor sets and irreducibility of polynomials},
author = {Jun Jason Luo and Huo-Jun Ruan and Yi-Ling Wang},
journal= {arXiv preprint arXiv:1702.03830},
year = {2019}
}
Comments
12 pages