Laurent多项式的自相交与Jordan曲线的稠密性
Self-intersections of Laurent polynomials and the density of Jordan curves
摘要:
本文将多项式参数化曲线的自相交数的奎因界推广到Laurent多项式的情形。作为一个应用,我们证明了圆嵌入是稠密的所有映射从一个圆到一个平面上的积分范数。
英文摘要:
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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