Self-intersections of Laurent polynomials and the density of Jordan curves
Complex Variables
2022-12-20 v2
Abstract
We extend Quine's bound on the number of self-intersection of curves with polynomial parameterization to the case of Laurent polynomials. As an application, we show that circle embeddings are dense among all maps from a circle to a plane with respect to an integral norm.
Keywords
Cite
@article{arxiv.1902.02468,
title = {Self-intersections of Laurent polynomials and the density of Jordan curves},
author = {Sergei Kalmykov and Leonid V. Kovalev},
journal= {arXiv preprint arXiv:1902.02468},
year = {2022}
}
Comments
10 pages