Representing 3-manifolds by Dehn spheres
Let M be a closed orientable 3-manifold. A Dehn sphere S is a 2-sphere immersed in M with only double curve and triple point singularities. S fills M if S defines a cell decomposition of M. It is proven that every closed orientable 3-manifold has a filling Dehn sphere. Examples are given, and Johans...
| Autor: | |
|---|---|
| Tipo de recurso: | capítulo de libro |
| Fecha de publicación: | 2000 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/60752 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/60752 |
| Access Level: | acceso abierto |
| Palabra clave: | 515.164 3-manifold Dehn sphere Johansson diagram Heegaard diagram Geometría diferencial Topología 1204.04 Geometría Diferencial 1210 Topología |
| Sumario: | Let M be a closed orientable 3-manifold. A Dehn sphere S is a 2-sphere immersed in M with only double curve and triple point singularities. S fills M if S defines a cell decomposition of M. It is proven that every closed orientable 3-manifold has a filling Dehn sphere. Examples are given, and Johansson diagrams are proposed as a method for representing all closed orientable 3-manifolds. |
|---|