Classification of surfaces via Morse theory (Q1978137)
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scientific article; zbMATH DE number 1453275
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Classification of surfaces via Morse theory |
scientific article; zbMATH DE number 1453275 |
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Classification of surfaces via Morse theory (English)
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7 May 2001
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The authors classify all compact surfaces up to homeomorphism using Morse theory. The most essential tool that is used in this article is the gradient-like flow associated with a Morse function. It is the aim of the authors that with their article the readers (and mainly fresh graduate students) will be introduced to some of the basic methods and ideas of differential topology.
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critical points
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Morse lemma
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Hessian
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Jacobian
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gradient flow
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