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

Volume 75 / 2000

D. D'Acunto Annales Polonici Mathematici 75 (2000), 35-45 DOI: 10.4064/ap-75-1-35-45

Abstract

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.

Authors

  • D. D'Acunto

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