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

D. D'Acunto

Annales Polonici Mathematici (2000)

  • Volume: 75, Issue: 1, page 35-45
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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D'Acunto, D.. "Valeurs critiques asymptotiques d'une fonction définissable dans une structure o-minimale." Annales Polonici Mathematici 75.1 (2000): 35-45. <http://eudml.org/doc/208382>.

@article{DAcunto2000,
author = {D'Acunto, D.},
journal = {Annales Polonici Mathematici},
keywords = {bifurcation set; asymptotic critical value; o-minimal structure; asymptotic critical values; locally trivial fibration; differentiable function},
language = {fre},
number = {1},
pages = {35-45},
title = {Valeurs critiques asymptotiques d'une fonction définissable dans une structure o-minimale},
url = {http://eudml.org/doc/208382},
volume = {75},
year = {2000},
}

TY - JOUR
AU - D'Acunto, D.
TI - Valeurs critiques asymptotiques d'une fonction définissable dans une structure o-minimale
JO - Annales Polonici Mathematici
PY - 2000
VL - 75
IS - 1
SP - 35
EP - 45
LA - fre
KW - bifurcation set; asymptotic critical value; o-minimal structure; asymptotic critical values; locally trivial fibration; differentiable function
UR - http://eudml.org/doc/208382
ER -

References

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