[Un opérateur d’extension linéaire pour les champs de Whitney sur des ensembles o-minimaux fermés]
On construit un opérateur d’extension linéaire et continu pour les champs de Whitney de classe (p fini) sur un sous-ensemble fermé o-minimal de . 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 -Whitney fields (p finite) on a closed o-minimal subset of is constructed. The construction is based on special geometrical properties of o-minimal sets earlier studied by K. Kurdyka with the author.
Keywords: Whitney field, extension operator, o-minimal structure, subanalytic set.
Mot clés : Champ de Whitney, opérateur d’extension, structure o-minimale, ensemble sous-analytique.
@article{AIF_2008__58_2_383_0,
author = {Paw{\l}ucki, Wies{\l}aw},
title = {A linear extension operator for {Whitney} fields on closed o-minimal sets},
journal = {Annales de l'Institut Fourier},
pages = {383--404},
publisher = {Association des Annales de l{\textquoteright}institut Fourier},
volume = {58},
number = {2},
year = {2008},
doi = {10.5802/aif.2355},
zbl = {1168.14040},
mrnumber = {2410377},
language = {en},
url = {http://www.numdam.org/articles/10.5802/aif.2355/}
}
TY - JOUR AU - Pawłucki, Wiesław TI - A linear extension operator for Whitney fields on closed o-minimal sets JO - Annales de l'Institut Fourier PY - 2008 SP - 383 EP - 404 VL - 58 IS - 2 PB - Association des Annales de l’institut Fourier UR - http://www.numdam.org/articles/10.5802/aif.2355/ DO - 10.5802/aif.2355 LA - en ID - AIF_2008__58_2_383_0 ER -
%0 Journal Article %A Pawłucki, Wiesław %T A linear extension operator for Whitney fields on closed o-minimal sets %J Annales de l'Institut Fourier %D 2008 %P 383-404 %V 58 %N 2 %I Association des Annales de l’institut Fourier %U http://www.numdam.org/articles/10.5802/aif.2355/ %R 10.5802/aif.2355 %G en %F AIF_2008__58_2_383_0
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://www.numdam.org/articles/10.5802/aif.2355/
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