Homogeneity of dynamically defined wild knots.

Hinojosa, Gabriela, and Verjovsky, Alberto. "Homogeneity of dynamically defined wild knots.." Revista Matemática Complutense 19.1 (2006): 101-111. <http://eudml.org/doc/40877>.

@article{Hinojosa2006,
abstract = {In this paper we prove that a wild knot K 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 p, q ∈ K, there exists a homeomorphism f of the sphere such that f(K) = K and f(p) = q. We also show that if the wild knot is a fibered knot then we can choose an f which preserves the fibers. },
author = {Hinojosa, Gabriela, Verjovsky, Alberto},
journal = {Revista Matemática Complutense},
keywords = {Nudos topológicos; Grupos de Klein; Fibración; wild knot; homogeneous point; necklace of pearls; Möbius transformation; Kleinian group; fibered knot},
language = {eng},
number = {1},
pages = {101-111},
title = {Homogeneity of dynamically defined wild knots.},
url = {http://eudml.org/doc/40877},
volume = {19},
year = {2006},
}

TY - JOUR
AU - Hinojosa, Gabriela
AU - Verjovsky, Alberto
TI - Homogeneity of dynamically defined wild knots.
JO - Revista Matemática Complutense
PY - 2006
VL - 19
IS - 1
SP - 101
EP - 111
AB - In this paper we prove that a wild knot K 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 p, q ∈ K, there exists a homeomorphism f of the sphere such that f(K) = K and f(p) = q. We also show that if the wild knot is a fibered knot then we can choose an f which preserves the fibers.
LA - eng
KW - Nudos topológicos; Grupos de Klein; Fibración; wild knot; homogeneous point; necklace of pearls; Möbius transformation; Kleinian group; fibered knot
UR - http://eudml.org/doc/40877
ER -