Brunnian links

Paul Gartside; Sina Greenwood

Fundamenta Mathematicae (2007)

  • Volume: 193, Issue: 3, page 259-276
  • ISSN: 0016-2736

Abstract

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A Brunnian link is a set of n linked loops such that every proper sublink is trivial. Simple Brunnian links have a natural algebraic representation. This is used to determine the form, length and number of minimal simple Brunnian links. Braids are used to investigate when two algebraic words represent equivalent simple Brunnian links that differ only in the arrangement of the component loops.

How to cite

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Paul Gartside, and Sina Greenwood. "Brunnian links." Fundamenta Mathematicae 193.3 (2007): 259-276. <http://eudml.org/doc/282667>.

@article{PaulGartside2007,
abstract = {A Brunnian link is a set of n linked loops such that every proper sublink is trivial. Simple Brunnian links have a natural algebraic representation. This is used to determine the form, length and number of minimal simple Brunnian links. Braids are used to investigate when two algebraic words represent equivalent simple Brunnian links that differ only in the arrangement of the component loops.},
author = {Paul Gartside, Sina Greenwood},
journal = {Fundamenta Mathematicae},
keywords = {link; Brunnian link; Borromean rings; braid},
language = {eng},
number = {3},
pages = {259-276},
title = {Brunnian links},
url = {http://eudml.org/doc/282667},
volume = {193},
year = {2007},
}

TY - JOUR
AU - Paul Gartside
AU - Sina Greenwood
TI - Brunnian links
JO - Fundamenta Mathematicae
PY - 2007
VL - 193
IS - 3
SP - 259
EP - 276
AB - A Brunnian link is a set of n linked loops such that every proper sublink is trivial. Simple Brunnian links have a natural algebraic representation. This is used to determine the form, length and number of minimal simple Brunnian links. Braids are used to investigate when two algebraic words represent equivalent simple Brunnian links that differ only in the arrangement of the component loops.
LA - eng
KW - link; Brunnian link; Borromean rings; braid
UR - http://eudml.org/doc/282667
ER -

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