Definable stratification satisfying the Whitney property
with exponent 1
Annales Polonici Mathematici, Tome 92 (2007) no. 2, pp. 155-162
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We prove that for a finite collection of
sets $A_1,\dots,A_s\subset\mathbb R^{k+n}$ definable in an
o-minimal structure there exists a compatible definable
stratification such that for any stratum the fibers of its
projection onto $\mathbb R^k$ satisfy the Whitney property with
exponent~1.
Keywords:
prove finite collection sets dots subset mathbb definable o minimal structure there exists compatible definable stratification stratum fibers its projection mathbb satisfy whitney property exponent
Affiliations des auteurs :
Beata Kocel-Cynk 1
@article{10_4064_ap92_2_4,
author = {Beata Kocel-Cynk},
title = {Definable stratification satisfying the {Whitney} property
with exponent 1},
journal = {Annales Polonici Mathematici},
pages = {155--162},
publisher = {mathdoc},
volume = {92},
number = {2},
year = {2007},
doi = {10.4064/ap92-2-4},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap92-2-4/}
}
TY - JOUR AU - Beata Kocel-Cynk TI - Definable stratification satisfying the Whitney property with exponent 1 JO - Annales Polonici Mathematici PY - 2007 SP - 155 EP - 162 VL - 92 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/ap92-2-4/ DO - 10.4064/ap92-2-4 LA - en ID - 10_4064_ap92_2_4 ER -
Beata Kocel-Cynk. Definable stratification satisfying the Whitney property with exponent 1. Annales Polonici Mathematici, Tome 92 (2007) no. 2, pp. 155-162. doi: 10.4064/ap92-2-4
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