Fixed point index bounds for self-maps on closed surfaces (Q1704383)
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scientific article; zbMATH DE number 6848710
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fixed point index bounds for self-maps on closed surfaces |
scientific article; zbMATH DE number 6848710 |
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Fixed point index bounds for self-maps on closed surfaces (English)
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9 March 2018
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This paper concerns the fixed point index of maps of surfaces with non-positive Euler characteristic and non-empty boundary. Given a map having the minimal number of fixed points within its homotopy class, there are known upper and lower bounds for its fixed point index. This paper presents a new proof of this fact and, in the more restrictive framework of negative characteristic, extends these bounds to the case of closed surfaces.
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fixed point index
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surface
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minimal map
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