Union and tangle-Reference-Cited by-同舟云学术

Union and tangle

Published:1996 Issue:5 Volume:124 Page:1625-1631
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Nakanishi Yasutaka

Abstract

Shibuya proved that any union of two nontrivial knots without local knots is a prime knot. In this note, we prove it in a general setting. As an application, for any nontrivial knot, we give a knot diagram such that a single unknotting operation on the diagram cannot yield a diagram of a trivial knot.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1996-124-05/S0002-9939-96-03453-3/S0002-9939-96-03453-3.pdf

Reference15 articles.

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1. The Turaev genus of an adequate knot;Topology and its Applications;2009-11

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