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...
| Authors: | , , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2018 |
| Country: | Brasil |
| Institution: | Universidade Estadual Paulista (UNESP) |
| Repository: | Repositório Institucional da UNESP |
| Language: | English |
| OAI Identifier: | oai:repositorio.unesp.br:11449/176029 |
| Online Access: | http://dx.doi.org/10.12775/TMNA.2017.051 http://hdl.handle.net/11449/176029 |
| Access Level: | Open access |
| Keyword: | Bott functions Foliations Morse Non-orientable surfaces Topological invariants |
| Summary: | 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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