Uncountably many wild knots whose cyclic branched covering are S3.

José María Montesinos-Amilibia

Revista Matemática Complutense (2003)

  • Volume: 16, Issue: 1, page 329-344
  • ISSN: 1139-1138

Abstract

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There is a disk in S3 whose interior is PL embedded and whose boundary has a tame Cantor set of locally wild points, such that the n-fold cyclic coverings of S3 branched over the boundary of the disk are all S3. An uncountable set of inequivalent wild knots with these properties is exhibited.

How to cite

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Montesinos-Amilibia, José María. "Uncountably many wild knots whose cyclic branched covering are S3.." Revista Matemática Complutense 16.1 (2003): 329-344. <http://eudml.org/doc/44432>.

@article{Montesinos2003,
abstract = {There is a disk in S3 whose interior is PL embedded and whose boundary has a tame Cantor set of locally wild points, such that the n-fold cyclic coverings of S3 branched over the boundary of the disk are all S3. An uncountable set of inequivalent wild knots with these properties is exhibited.},
author = {Montesinos-Amilibia, José María},
journal = {Revista Matemática Complutense},
keywords = {Variedades topológicas; 3-variedades; Nudos topológicos; Recubrimientos topológicos; Conjuntos de Cantor; decomposition; wild knot; branched covering},
language = {eng},
number = {1},
pages = {329-344},
title = {Uncountably many wild knots whose cyclic branched covering are S3.},
url = {http://eudml.org/doc/44432},
volume = {16},
year = {2003},
}

TY - JOUR
AU - Montesinos-Amilibia, José María
TI - Uncountably many wild knots whose cyclic branched covering are S3.
JO - Revista Matemática Complutense
PY - 2003
VL - 16
IS - 1
SP - 329
EP - 344
AB - There is a disk in S3 whose interior is PL embedded and whose boundary has a tame Cantor set of locally wild points, such that the n-fold cyclic coverings of S3 branched over the boundary of the disk are all S3. An uncountable set of inequivalent wild knots with these properties is exhibited.
LA - eng
KW - Variedades topológicas; 3-variedades; Nudos topológicos; Recubrimientos topológicos; Conjuntos de Cantor; decomposition; wild knot; branched covering
UR - http://eudml.org/doc/44432
ER -

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