Is the boundary of a Siegel disk a Jordan curve?
Complex Variables
2016-09-06 v1 General Topology
Abstract
Bounded irreducible local Siegel disks include classical Siegel disks of polynomials, bounded irreducible Siegel disks of rational and entire functions, and the examples of Herman and Moeckel. We show that there are only two possibilities for the structure of the boundary of such a disk: either the boundary admits a nice decomposition onto a circle, or it is an indecomposable continuum.
Cite
@article{arxiv.math/9210225,
title = {Is the boundary of a Siegel disk a Jordan curve?},
author = {James T. Rogers},
journal= {arXiv preprint arXiv:math/9210225},
year = {2016}
}
Comments
4 pages