On stratified Morse theory (Q1292685)
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scientific article; zbMATH DE number 1307832
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On stratified Morse theory |
scientific article; zbMATH DE number 1307832 |
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On stratified Morse theory (English)
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14 May 2000
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The ``Fundamental Theorem'' of stratified Morse theory [\textit{M. Goresky} and \textit{R. MacPherson}, `Stratified Morse theory', Springer Berlin (1988; Zbl 0639.14012)] characterizes the transition between different levels of the Morse function in terms of tangential and normal Morse data. The author presents a simplified proof of the theorem using the recent results of Du Plessis and Shiota concerning controlled vector fields.
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stratified Morse theory
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Morse function
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critical points
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