Definable stratification satisfying the Whitney property with exponent 1
Beata Kocel-Cynk
Annales Polonici Mathematici, Tome 92 (2007), p. 155-162 / Harvested from The Polish Digital Mathematics Library
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We prove that for a finite collection of sets A₁,...,As⊂ℝk+n definable in an o-minimal structure there exists a compatible definable stratification such that for any stratum the fibers of its projection onto ℝk satisfy the Whitney property with exponent 1.

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:280218 
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     journal = {Annales Polonici Mathematici},
     volume = {92},
     year = {2007},
     pages = {155-162},
     zbl = {1146.14031},
     language = {en},
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Beata Kocel-Cynk. Definable stratification satisfying the Whitney property with exponent 1. Annales Polonici Mathematici, Tome 92 (2007) pp. 155-162. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap92-2-4/