An unknotting theorem for tori in 4-dimensional spheres.

Akiko Shima

Revista Matemática Complutense (1998)

  • Volume: 11, Issue: 2, page 299-309
  • ISSN: 1139-1138

Abstract

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Let T be a torus in S4 and T* a projection of T. If the singular set Gamma(T*) consists of one disjoint simple closed curve, then T can be moved to the standard position by an ambient isotopy of S4.

How to cite

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Shima, Akiko. "An unknotting theorem for tori in 4-dimensional spheres.." Revista Matemática Complutense 11.2 (1998): 299-309. <http://eudml.org/doc/44449>.

@article{Shima1998,
abstract = {Let T be a torus in S4 and T* a projection of T. If the singular set Gamma(T*) consists of one disjoint simple closed curve, then T can be moved to the standard position by an ambient isotopy of S4.},
author = {Shima, Akiko},
journal = {Revista Matemática Complutense},
keywords = {Toros geométricos; Nudos topológicos; Geometría esférica; Isotopía; Inmersiones; surface; embedding; unknotted},
language = {eng},
number = {2},
pages = {299-309},
title = {An unknotting theorem for tori in 4-dimensional spheres.},
url = {http://eudml.org/doc/44449},
volume = {11},
year = {1998},
}

TY - JOUR
AU - Shima, Akiko
TI - An unknotting theorem for tori in 4-dimensional spheres.
JO - Revista Matemática Complutense
PY - 1998
VL - 11
IS - 2
SP - 299
EP - 309
AB - Let T be a torus in S4 and T* a projection of T. If the singular set Gamma(T*) consists of one disjoint simple closed curve, then T can be moved to the standard position by an ambient isotopy of S4.
LA - eng
KW - Toros geométricos; Nudos topológicos; Geometría esférica; Isotopía; Inmersiones; surface; embedding; unknotted
UR - http://eudml.org/doc/44449
ER -

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