Generalized handlebody sets and non-Haken 3-manifolds
| dc.creator | Johnson, Jesse | |
| dc.creator | Patel, Terk | |
| dc.date | 2007-07-04 | |
| dc.date.accessioned | 2026-07-07T08:13:54Z | |
| dc.date.available | 2026-07-07T08:13:54Z | |
| dc.description | In the curve complex for a surface, a handlebody set is the set of loops that bound properly embedded disks in a given handlebody bounded by the surface. A boundary set is the set of non-separating loops in the curve complex that bound two-sided, properly embedded surfaces. For a Heegaard splitting, the distance between the boundary sets of the handlebodies is zero if and only if the ambient manifold contains a non-separating, two sided incompressible surface. We show that the boundary set is 2-dense in the curve complex, i.e. every vertex is within two edges of a point in the boundary set. | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/0707.0518 | |
| dc.identifier | http://arxiv.org/abs/0707.0518 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/132933 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M | |
| dc.title | Generalized handlebody sets and non-Haken 3-manifolds | |
| dc.type | text |