ON TANGLE DECOMPOSITIONS OF TUNNEL NUMBER ONE LINKS-Reference-Cited by-同舟云学术

ON TANGLE DECOMPOSITIONS OF TUNNEL NUMBER ONE LINKS

Published:1999-05 Issue:03 Volume:08 Page:299-320
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

GODA HIROSHI¹,OZAWA MAKOTO²,TERAGAITO MASAKAZU³

Affiliation:

1. The Graduate School of Science and Technology, Kobe University, Rokkodai 1-1, Nada, Kobe 657-8501, Japan

2. Department of Science, School of Education, Waseda University, Nishi-Shinjuku 1-6-1, Shinjuku, Tokyo 169-8050, Japan

3. Department of Mathematics and Mathematics Education, Hiroshima University, Kagamiyama 1-1-1, Higashi-Hiroshima 739-8524, Japan

Abstract

We will discuss tangle decompositions of tunnel number one links, and show that any tangle composite tunnel number one link can be obtained as the union of a quasi Hopf tangle and a trivial tangle. We also consider the uniqueness of tangle decompositions of such links, and show that there are infinitely many tunnel number one links that admit non-isotopic essential tangle decompositions.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216599000201

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