| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6424641 | Topology and its Applications | 2015 | 6 Pages |
Abstract
It is shown by Ozawa that a knot in the 3-sphere has a unique essential tangle decomposition if it admits an essential free 2-tangle decomposition. We show that Ozawa's result cannot be generalized even if a knot admits an essential 2-tangle decomposition such that one of the decomposed tangles is of tunnel number one.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Toshio Saito,