English

Bilipschitz equivalence of polynomials

Geometric Topology 2020-02-25 v3 Metric Geometry

Abstract

We study a family of polynomials in two variables having moduli up to bilipschitz equivalence: two distinct polynomials of this family are not bilipschitz equivalent. However any level curve of the first polynomial is bilipschitz equivalent to a level curve of the second.

Cite

@article{arxiv.1902.01584,
  title  = {Bilipschitz equivalence of polynomials},
  author = {Arnaud Bodin},
  journal= {arXiv preprint arXiv:1902.01584},
  year   = {2020}
}

Comments

16 pages. v2: corrections after referees' comments, v3: typos

R2 v1 2026-06-23T07:32:15.922Z