3 papers
math.GT2005
A wild knot as limit set of a Kleinian Group: Indra's pearls in four dimensions
Gabriela Hinojosa
The purpose of this paper is to construct an example of a 2-knot wildly embedded in as the limit set of a Kleinian group. We find that this type of wild 2-knots ha…
math.GT2005
Wild Knots as limit sets of Kleinian Groups
Gabriela Hinojosa
In this paper we study kleinian groups of Schottky type whose limit set is a wild knot in the sense of Artin and Fox. We show that, if the ``original knot'' fibers over the circle…
math.GT2005
Homogeneity of dynamically defined wild knots
Gabriela Hinojosa, Alberto Verjovsky
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…