A linear extension operator for Whitney fields on closed o-minimal sets
- [1] Uniwersytet Jagielloński, Instytut Matematyki ul. Reymonta 4 30-059 Kraków (Poland)
Annales de l’institut Fourier (2008)
- Volume: 58, Issue: 2, page 383-404
- ISSN: 0373-0956
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topPawłucki, Wiesław. "A linear extension operator for Whitney fields on closed o-minimal sets." Annales de l’institut Fourier 58.2 (2008): 383-404. <http://eudml.org/doc/10319>.
@article{Pawłucki2008,
abstract = {A continuous linear extension operator, different from Whitney’s, for $\mathcal\{C\}^p$-Whitney fields (p finite) on a closed o-minimal subset of $\mathbb\{R\}^n$ is constructed. The construction is based on special geometrical properties of o-minimal sets earlier studied by K. Kurdyka with the author.},
affiliation = {Uniwersytet Jagielloński, Instytut Matematyki ul. Reymonta 4 30-059 Kraków (Poland)},
author = {Pawłucki, Wiesław},
journal = {Annales de l’institut Fourier},
keywords = {Whitney field; extension operator; o-minimal structure; subanalytic set},
language = {eng},
number = {2},
pages = {383-404},
publisher = {Association des Annales de l’institut Fourier},
title = {A linear extension operator for Whitney fields on closed o-minimal sets},
url = {http://eudml.org/doc/10319},
volume = {58},
year = {2008},
}
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
PB - Association des Annales de l’institut Fourier
VL - 58
IS - 2
SP - 383
EP - 404
AB - A continuous linear extension operator, different from Whitney’s, for $\mathcal{C}^p$-Whitney fields (p finite) on a closed o-minimal subset of $\mathbb{R}^n$ is constructed. The construction is based on special geometrical properties of o-minimal sets earlier studied by K. Kurdyka with the author.
LA - eng
KW - Whitney field; extension operator; o-minimal structure; subanalytic set
UR - http://eudml.org/doc/10319
ER -
References
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