# Homogeneity of dynamically defined wild knots.

Gabriela Hinojosa; Alberto Verjovsky

Revista Matemática Complutense (2006)

- Volume: 19, Issue: 1, page 101-111
- ISSN: 1139-1138

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topHinojosa, 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 -

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