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December 2007 Strongly $n$-trivial Links are Boundary Links
Yukihiro TSUTSUMI
Tokyo J. Math. 30(2): 343-350 (December 2007). DOI: 10.3836/tjm/1202136680

Abstract

A link is said to be {\it strongly $n$-trivial} if there exists a diagram such that one can choose $n+1$ crossing points with the property that changing crossings on any $0 < m \le n+1$ points of these $n+1$ points yields a trivial link. It is shown that for a positive integer $n$ the components of a strongly $n$-trivial link admit mutually disjoint Seifert surfaces.

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Yukihiro TSUTSUMI. "Strongly $n$-trivial Links are Boundary Links." Tokyo J. Math. 30 (2) 343 - 350, December 2007. https://doi.org/10.3836/tjm/1202136680

Information

Published: December 2007
First available in Project Euclid: 4 February 2008

zbMATH: 1146.57013
MathSciNet: MR2376513
Digital Object Identifier: 10.3836/tjm/1202136680

Subjects:
Primary: 57M25

Rights: Copyright © 2007 Publication Committee for the Tokyo Journal of Mathematics

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Vol.30 • No. 2 • December 2007
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