Uniform radius and regular stratifications

Details Uniform radius and regular stratifications Uniform radius and regular stratifications

2010-06-16

arxiv.org/abs/1006.3249v1

Mathematics

Algebraic Geometry

13 pages, no figures

Scientific paper

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.

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