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

• Autorzy: D. D'Acunto
• Języki publikacji: FR EN

Abstrakty

EN

We prove that the set of asymptotic critical values of a $C^1$ 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.

Słowa kluczowe

EN

bifurcation set; asymptotic critical value; o-minimal structure

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2000
• Tom: 75
• Numer: 1
• Strony: 35-45

Daty

wydano

2000

otrzymano

1999-07-28

poprawiono

2000-02-10

Twórcy

autor

D. D'Acunto

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

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