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Uniform radius and regular stratifications
Karim Bekka 1
(2010-06-16)

In this paper we investigate how germs of real functions can change under deformation. In particular we look at deformations of germs of isolated singularities from R_n to R_k (n >= k) and the relation with there natural stratification in some tame categorie (algebraic, analytic, semi-algebraic, subanalytic, o-minimal straucture polynomially bounded). The word tame in this paper will refer to one of these categories.
1:  Institut de Recherche Mathématique de Rennes (IRMAR)
CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne
Géométrie algébrique réelle
Mathematics/Algebraic Geometry

Mathematics/Geometric Topology
Fulltext link: 
http://fr.arXiv.org/abs/1006.3249