Definable stratification satisfying the Whitney property with exponent 1
Tom 92 / 2007
Annales Polonici Mathematici 92 (2007), 155-162
MSC: 14P15, 32B20.
DOI: 10.4064/ap92-2-4
Streszczenie
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.
