W(F)-STRATIFICATION OF SUBANALYTIC FUNCTI ONS AND THE LOJASIEWICZ INEQUALITY

Authors
KURDYKA K PARUSINSKI A
Citation
K. Kurdyka et A. Parusinski, W(F)-STRATIFICATION OF SUBANALYTIC FUNCTI ONS AND THE LOJASIEWICZ INEQUALITY, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 318(2), 1994, pp. 129-133
Citations number
11
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
318
Issue
2
Year of publication
1994
Pages
129 - 133
Database
ISI
SICI code
0764-4442(1994)318:2<129:WOSFOA>2.0.ZU;2-2
Abstract
For every subanalytic function f the existence of a stratification sat isfying the strict Thom condition w(f) is proven. Also the second Loja siewicz inequality is generalized to such functions. As a corollary we obtain a local inequality relating the gradient, the distance to zero s and the value of continuous subanalytic function.