Uniform radius and regular stratifications

Karim Bekka (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

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.

Domaines: Géométrie algébrique [math.AG]; Topologie géométrique [math.GT]

Karim Bekka. Uniform radius and regular stratifications. 2010. ⟨hal-00709756⟩