| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4660085 | Topology and its Applications | 2008 | 29 Pages |
Abstract
It is shown that every properly embedded incompressible surface in a handlebody can be constructed by a canonical gluing process. A simple condition is given which asserts that the result of the gluing process is an incompressible surface. A new notion of isotopy is introduced in order to distinguish surfaces belonging to distinct isotopy classes. Several examples (known and new) are constructed.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
