Definable stratification satisfying the Whitney property with exponent 1

Beata Kocel-Cynk. "Definable stratification satisfying the Whitney property with exponent 1." Annales Polonici Mathematici 92.2 (2007): 155-162. <http://eudml.org/doc/280218>.

@article{BeataKocel2007,
abstract = {We prove that for a finite collection of sets $A₁,...,A_s ⊂ ℝ^\{k+n\}$ definable in an o-minimal structure there exists a compatible definable stratification such that for any stratum the fibers of its projection onto $ℝ^k$ satisfy the Whitney property with exponent 1.},
author = {Beata Kocel-Cynk},
journal = {Annales Polonici Mathematici},
keywords = {stratifications; definable sets; Whitney property; o-minimal structure},
language = {eng},
number = {2},
pages = {155-162},
title = {Definable stratification satisfying the Whitney property with exponent 1},
url = {http://eudml.org/doc/280218},
volume = {92},
year = {2007},
}

TY - JOUR
AU - Beata Kocel-Cynk
TI - Definable stratification satisfying the Whitney property with exponent 1
JO - Annales Polonici Mathematici
PY - 2007
VL - 92
IS - 2
SP - 155
EP - 162
AB - We prove that for a finite collection of sets $A₁,...,A_s ⊂ ℝ^{k+n}$ definable in an o-minimal structure there exists a compatible definable stratification such that for any stratum the fibers of its projection onto $ℝ^k$ satisfy the Whitney property with exponent 1.
LA - eng
KW - stratifications; definable sets; Whitney property; o-minimal structure
UR - http://eudml.org/doc/280218
ER -