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arXiv · 1902.02468

Self-intersections of Laurent polynomials and the density of Jordan curves

Sergei Kalmykov·Leonid V. Kovalev
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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.

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Sergei Kalmykov, Leonid V. Kovalev. 2019-02-07. Self-intersections of Laurent polynomials and the density of Jordan curves. https://doi.org/10.1090/proc/14594

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