81 research outputs found
Homogeneity of dynamically defined wild knots
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.Comment: Accepted in Revista Matematica Complutens
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