Singular levels and topological invariants of Morse-Bott foliations on non-orientable surfaces (Q1639925)
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scientific article; zbMATH DE number 6887978
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Singular levels and topological invariants of Morse-Bott foliations on non-orientable surfaces |
scientific article; zbMATH DE number 6887978 |
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Singular levels and topological invariants of Morse-Bott foliations on non-orientable surfaces (English)
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13 June 2018
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The authors classify all closed curves and eight curves of saddle points defined on non-orientable closed surfaces, up to ambient homeomorphism. The resulting classification is then applied to Morse-Bott foliations on non-orientable closed surfaces in order to define a complete topological invariant.
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Morse-Bott function
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topological invariant
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foliation
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classification of closed curves
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