Lipschitz equivalence of Cantor sets and irreducibility of polynomials

Jun Jason Luo; Huo-Jun Ruan; Yi-Ling Wang

doi:10.1112/s0025579318000232

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arXiv · 1702.03830

Lipschitz equivalence of Cantor sets and irreducibility of polynomials

Jun Jason Luo·Huo-Jun Ruan·Yi-Ling Wang

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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.

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BibTeX RIS

Jun Jason Luo, Huo-Jun Ruan, Yi-Ling Wang. 2017-02-10. Lipschitz equivalence of Cantor sets and irreducibility of polynomials. https://doi.org/10.1112/s0025579318000232

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