A linear extension operator for Whitney fields on closed o-minimal sets
[Un opérateur d’extension linéaire pour les champs de Whitney sur des ensembles o-minimaux fermés]
Pawłucki, Wiesław1
1 Uniwersytet Jagielloński, Instytut Matematyki ul. Reymonta 4 30-059 Kraków (Poland)
Annales de l'Institut Fourier, Tome 58 (2008) no. 2, pp. 383-404.

On construit un opérateur d’extension linéaire et continu pour les champs de Whitney de classe 𝒞 p (p fini) sur un sous-ensemble fermé o-minimal de ℝ n . La construction, différente de celle de Whitney, est basée sur des propriétés géométriques spéciales des ensembles o-minimaux, étudiées avant par K. Kurdyka et l’auteur.

A continuous linear extension operator, different from Whitney’s, for 𝒞 p -Whitney fields (p finite) on a closed o-minimal subset of ℝ n is constructed. The construction is based on special geometrical properties of o-minimal sets earlier studied by K. Kurdyka with the author.

DOI : 10.5802/aif.2355
Classification : 26B05, 14P10, 32B20, 03C64
Keywords: Whitney field, extension operator, o-minimal structure, subanalytic set.
Mot clés : Champ de Whitney, opérateur d’extension, structure o-minimale, ensemble sous-analytique.
Pawłucki, Wiesław 1

1 Uniwersytet Jagielloński, Instytut Matematyki ul. Reymonta 4 30-059 Kraków (Poland) 
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Pawłucki, Wiesław. A linear extension operator for Whitney fields on closed o-minimal sets. Annales de l'Institut Fourier, Tome 58 (2008) no. 2, pp. 383-404. doi : 10.5802/aif.2355. http://archive.numdam.org/articles/10.5802/aif.2355/

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