The computation of the index of a Morse function at a critical point (Q912445)

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scientific article; zbMATH DE number 4144977
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The computation of the index of a Morse function at a critical point
scientific article; zbMATH DE number 4144977

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    The computation of the index of a Morse function at a critical point (English)
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    1988
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    There is shown how to compute the index of a Morse function at a critical point on a real non-singular hypersurface V and the Euler characteristic of V. In the case where V is polynomial and compact, there is found a linear function \(\ell\) such that \(\ell | V\) is a Morse function on V.
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    index
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    Morse function
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    critical point
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    hypersurface
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