Polynomially Convex Arcs in Polynomially Convex Simple Closed Curves
Complex Variables
2021-06-21 v2
Abstract
We prove that every polynomially convex arc is contained in a polynomially convex simple closed curve. We also establish results about polynomial hulls of arcs and curves that are locally rectifiable outside a polynomially convex subset.
Keywords
Cite
@article{arxiv.2103.17214,
title = {Polynomially Convex Arcs in Polynomially Convex Simple Closed Curves},
author = {Alexander J. Izzo and Edgar Lee Stout},
journal= {arXiv preprint arXiv:2103.17214},
year = {2021}
}
Comments
The exposition has been polished and typos have been corrected. The mathematics remains the same