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A dynamical property for planar homeomorphisms and an application to the problem of canonical position around an isolated fixed point |
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| Authors: | Marc Bonino |
| Affiliation: | Université Paris 13, Institut Galilée, Dépt de Mathématiques, Avenue J.B. Clément 93430 Villetaneuse, France |
| Abstract: | The first theorem in this paper gives a criterion for detecting a fixed point of a planar homeomorphism into a disc. We then use this result to re-prove the path-connectedness of the space of all planar homeomorphisms fixing only one point, with a given Lefschetz index. |
| Keywords: | Fixed point Planar homeomorphism Lefschetz index Canonical position |
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