Roots of mappings on nonorientable surfaces and equations in free groups (Q1601086)
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scientific article; zbMATH DE number 1756831
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Roots of mappings on nonorientable surfaces and equations in free groups |
scientific article; zbMATH DE number 1756831 |
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Roots of mappings on nonorientable surfaces and equations in free groups (English)
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17 June 2002
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The Nielsen fixed-point theory for coincidences is taken up over nonorientable surfaces. Namely, the so-called Wecken property is considered. It is expressed in terms of the absolute topological degree \(A(f)\) of \(f\), the fundamental homotopy group of the considered surfaces and its Euler characteristics. The orientable case was obtained in [\textit{D. L. Gonçalves} and \textit{H. Zieschang}, Math. Z. 237, No. 1, 1-29 (2001; Zbl 0983.55003)].
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Nielsen theory
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coincidences
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Wecken property
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