| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4660539 | Topology and its Applications | 2010 | 11 Pages |
Abstract
We give a necessary and sufficient condition for Heegaard splittings of knot exteriors to admit destabilizations. As an application, we show the following: let K1 and K2 be a pair of knots which is introduced by Morimoto as an example giving degeneration of tunnel number under connected sum. The Heegaard splitting of the exterior of K1#K2 derived from certain minimal unknotting tunnel systems of K1 and K2 is stabilized.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
