Singular levels and topological invariants of Morse–Bott foliations on non-orientable surfaces
We investigate the classification of closed curves and eight curves of saddle points defined on non-orientable closed surfaces, up to an ambient homeomorphism. The classification obtained here is applied to Morse–Bott foliations on non-orientable closed surfaces in order to define a complete topolog...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2018 |
| País: | Brasil |
| Institución: | Universidade Estadual Paulista (UNESP) |
| Repositorio: | Repositório Institucional da UNESP |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unesp.br:11449/176029 |
| Acceso en línea: | http://dx.doi.org/10.12775/TMNA.2017.051 http://hdl.handle.net/11449/176029 |
| Access Level: | acceso abierto |
| Palabra clave: | Bott functions Foliations Morse Non-orientable surfaces Topological invariants |
| Sumario: | We investigate the classification of closed curves and eight curves of saddle points defined on non-orientable closed surfaces, up to an ambient homeomorphism. The classification obtained here is applied to Morse–Bott foliations on non-orientable closed surfaces in order to define a complete topological invariant. |
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