no. 5
A fixed point theorem in o-minimal structures
[Théorème de point fixe dans les structures o-minimal.]
Edmundo, Mário J.1
1 Universidade de Lisboa CMAF Av. Prof. Gama Pinto 2 1649-003 Lisboa (Portugal)
Annales de l'Institut Fourier, Tome 57 (2007) no. 5, pp. 1441-1450.

Dans cet article nous montrons un théorème de point fixe o-minimal pour les applications définissables continues sur les ensembles définissables et définissablement compacts, qui généralise la version de Brumfiel du théorème de point fixe de Hopf pour les applications semi-algébriques.

Here we prove an o-minimal fixed point theorem for definable continuous maps on definably compact definable sets, generalizing Brumfiel’s version of the Hopf fixed point theorem for semi-algebraic maps.

DOI : 10.5802/aif.2300
Classification : 03C64, 55M20
Keywords: O-minimal structures, fixed point theorems
Mot clés : Structures o-minimales, théorème de point fixe

Edmundo, Mário J. 1

1 Universidade de Lisboa CMAF Av. Prof. Gama Pinto 2 1649-003 Lisboa (Portugal) 
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Edmundo, Mário J. A fixed point theorem in o-minimal structures. Annales de l'Institut Fourier, Tome 57 (2007) no. 5, pp. 1441-1450. doi : 10.5802/aif.2300. https://aif.centre-mersenne.org/articles/10.5802/aif.2300/

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