Coordinate free Morse theory (Q803606)
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scientific article; zbMATH DE number 4201190
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Coordinate free Morse theory |
scientific article; zbMATH DE number 4201190 |
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Coordinate free Morse theory (English)
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1991
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It is shown that the assignment of a cell-complex to a Morse function on a compact smooth manifold can be achieved uniquely up to a contractible space of parameters and continuously in an appropriate sense with respect to these parameters among which being the Riemannian metrics on the manifold.
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homotopy equivalence
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Riemannian manifold
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cell-complex
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Morse function
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