Minimal number of periodic points for smooth self-maps of two-holed 3-dimensional closed ball (Q1029925)
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scientific article; zbMATH DE number 5578033
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Minimal number of periodic points for smooth self-maps of two-holed 3-dimensional closed ball |
scientific article; zbMATH DE number 5578033 |
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Minimal number of periodic points for smooth self-maps of two-holed 3-dimensional closed ball (English)
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14 July 2009
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The author considered continuous self-maps of two-holed three-dimensional closed ball with real eigenvalues on the second homology group and without periodic points on the boundary. By using the periodic expansions of Lefschetz numbers, he determined the minimal number of periodic points for all smooth maps homotopic to a continuous self-map.
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least number of periodic points
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Nielsen number
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fixed point index
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smooth maps
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