Two definitions of the bridge index of a welded knot

Autor:	Yasutaka Nakanishi, Shin Satoh
Rok vydání:	2015
Předmět:	Pure mathematics Skein relation Fibered knot Geometry Welding Mathematics::Geometric Topology Virtual knot Knot theory law.invention Knot (unit) Knot invariant law Geometry and Topology Trefoil knot Mathematics
Zdroj:	Topology and its Applications. 196:846-851
ISSN:	0166-8641
Popis:	There are two equivalent definitions of the bridge index of classical knots; one is the minimal number of the over-bridges, and the other is that of the maximal points with respect to a hight function. We consider these two indices for virtual and welded knots, and prove an inequality for virtual knots and the equality for welded knots.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::4bbdb92404238e2c484f2fa0533cd4b8 https://doi.org/10.1016/j.topol.2015.05.045 Zobrazit plný text záznamu Full Text from ScienceDirect