The prevalence of persistent tangles

Louis H. Kauffman, Pedro Lopes

Результат исследования: Научные публикации в периодических изданияхстатья

Аннотация

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.

Язык оригиналаанглийский
Номер статьи107040
Число страниц12
ЖурналTopology and its Applications
Том271
DOI
СостояниеОпубликовано - 15 фев 2020

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