Most homeomorphisms with a fixed point have a Cantor set of fixed points (Q1936505)
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scientific article; zbMATH DE number 6134589
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Most homeomorphisms with a fixed point have a Cantor set of fixed points |
scientific article; zbMATH DE number 6134589 |
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Most homeomorphisms with a fixed point have a Cantor set of fixed points (English)
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5 February 2013
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Dans cet article l'A. présente quadre résultats neufs et entéressants et deux conséquences que concernent l'ensemble ouvert \({\mathcal H}\) de points fixes des homeomorphismes \(h: M\to M\), où \(M\) est une variété différentielle, en montrant aussi que l'espace \({\mathcal H}\) est un espace de Baire.
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homeomorphisms
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manifolds
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fixed points
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generic properties
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Cantor set
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