The prevalence of persistent tangles

Standard

The prevalence of persistent tangles. / Kauffman, Louis H.; Lopes, Pedro.

In: Topology and its Applications, Vol. 271, 107040, 15.02.2020.

Research output: Contribution to journal › Article › peer-review

Harvard

Kauffman, LH & Lopes, P 2020, 'The prevalence of persistent tangles', Topology and its Applications, vol. 271, 107040. https://doi.org/10.1016/j.topol.2019.107040

APA

Kauffman, L. H., & Lopes, P. (2020). The prevalence of persistent tangles. Topology and its Applications, 271, [107040]. https://doi.org/10.1016/j.topol.2019.107040

Vancouver

Kauffman LH, Lopes P. The prevalence of persistent tangles. Topology and its Applications. 2020 Feb 15;271:107040. doi: 10.1016/j.topol.2019.107040

Author

Kauffman, Louis H. ; Lopes, Pedro. / The prevalence of persistent tangles. In: Topology and its Applications. 2020 ; Vol. 271.

BibTeX

@article{7e41b59cb598468ea535ed24092b1d99,

title = "The prevalence of persistent tangles",

abstract = "This article addresses persistent tangles. These are tangles whose presence in a knot diagram implies the diagram is knotted. We provide new methods for constructing persistent tangles. Our techniques rely mainly on the existence of non-trivial colorings for the tangles in question. Our main result in this article is that any knot admitting a non-trivial coloring gives rise to persistent tangles. Furthermore, we discuss when these persistent tangles are non-trivial.",

keywords = "Colorings, Irreducible tangles, Knots, Persistent tangles, Tangles",

author = "Kauffman, {Louis H.} and Pedro Lopes",

year = "2020",

month = feb,

day = "15",

doi = "10.1016/j.topol.2019.107040",

language = "English",

volume = "271",

journal = "Topology and its Applications",

issn = "0166-8641",

publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - The prevalence of persistent tangles

AU - Kauffman, Louis H.

AU - Lopes, Pedro

PY - 2020/2/15

Y1 - 2020/2/15

N2 - This article addresses persistent tangles. These are tangles whose presence in a knot diagram implies the diagram is knotted. We provide new methods for constructing persistent tangles. Our techniques rely mainly on the existence of non-trivial colorings for the tangles in question. Our main result in this article is that any knot admitting a non-trivial coloring gives rise to persistent tangles. Furthermore, we discuss when these persistent tangles are non-trivial.

AB - This article addresses persistent tangles. These are tangles whose presence in a knot diagram implies the diagram is knotted. We provide new methods for constructing persistent tangles. Our techniques rely mainly on the existence of non-trivial colorings for the tangles in question. Our main result in this article is that any knot admitting a non-trivial coloring gives rise to persistent tangles. Furthermore, we discuss when these persistent tangles are non-trivial.

KW - Colorings

KW - Irreducible tangles

KW - Knots

KW - Persistent tangles

KW - Tangles

UR - http://www.scopus.com/inward/record.url?scp=85077646275&partnerID=8YFLogxK

U2 - 10.1016/j.topol.2019.107040

DO - 10.1016/j.topol.2019.107040

M3 - Article

AN - SCOPUS:85077646275

VL - 271

JO - Topology and its Applications

JF - Topology and its Applications

SN - 0166-8641

M1 - 107040

ER -

ID: 23102805