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ArticleOriginal scientific text

Title

Valeurs critiques asymptotiques d'une fonction définissable dans une structure o-minimale

Authors 1

Affiliations

  1. LAMA, Université de Savoie, 73376 Le Bourget du Lac Cedex, France

Abstract

We prove that the set of asymptotic critical values of a C1 function definable in an o-minimal structure is finite, even if the structure is not polynomially bounded. As a consequence, the function is a locally trivial fibration over the complement of this set.

Keywords

ENG
bifurcation set, asymptotic critical value, o-minimal structure

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Annales Polonici Mathematici
2000/75/1
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Pages:
35-45
Main language of publication
French
Received
1999-07-28
Accepted
2000-02-10
Published
2000
Exact and natural sciences