A fixed point theorem in o-minimal structures
[Théorème de point fixe dans les structures o-minimal.]
Edmundo, Mário J.
Annales de l'Institut Fourier, Tome 57 (2007), p. 1441-1450 / Harvested from Numdam
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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.

Publié le : 2007-01-01
DOI : https://doi.org/10.5802/aif.2300
Classification:  03C64,  55M20
Mots clés: Structures o-minimales, théorème de point fixe 
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     title = {A fixed point theorem in o-minimal structures},
     journal = {Annales de l'Institut Fourier},
     volume = {57},
     year = {2007},
     pages = {1441-1450},
     doi = {10.5802/aif.2300},
     zbl = {1127.03034},
     mrnumber = {2364135},
     language = {en},
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Edmundo, Mário J. A fixed point theorem in o-minimal structures. Annales de l'Institut Fourier, Tome 57 (2007) pp. 1441-1450. doi : 10.5802/aif.2300. http://gdmltest.u-ga.fr/item/AIF_2007__57_5_1441_0/

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