Homogeneity of dynamically defined wild knots
Geometric Topology
2007-05-23 v1
Abstract
In this paper we prove that a wild knot which is the limit set of a Kleinian group acting conformally on the unit 3-sphere, with its standard metric, is homogeneous: given two points there exists a homeomorphism of the sphere such that and . We also show that if the wild knot is a fibered knot then we can choose an which preserves the fibers.
Cite
@article{arxiv.math/0508540,
title = {Homogeneity of dynamically defined wild knots},
author = {Gabriela Hinojosa and Alberto Verjovsky},
journal= {arXiv preprint arXiv:math/0508540},
year = {2007}
}
Comments
Accepted in Revista Matematica Complutense