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Uniform Linear Bound in Chevalley’s Lemma

Published online by Cambridge University Press:  20 November 2018

J. Adamus ,
E. Bierstone  and
P. D. Milman
J. Adamus
Affiliation:
Institute of Mathematics of the Polish Academy of Sciences, 00-956 Warszawa 10, Sniadeckich 8, Poland
E. Bierstone
Affiliation:
Department of Mathematics, University of Toronto, Toronto, ON M5S 2E4 e-mail: bierston@math.toronto.edu, milman@math.toronto.edu
P. D. Milman
Affiliation:
Department of Mathematics, University of Toronto, Toronto, ON M5S 2E4 e-mail: bierston@math.toronto.edu, milman@math.toronto.edu
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Abstract

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We obtain a uniform linear bound for the Chevalley function at a point in the source of an analytic mapping that is regular in the sense of Gabrielov. There is a version of Chevalley’s lemma also along a fibre, or at a point of the image of a proper analytic mapping. We get a uniform linear bound for the Chevalley function of a closed Nash (or formally Nash) subanalytic set.

Keywords

13J0732B2013J1032S10Keywords:Chevalley functionregular mappingNash subanalytic set
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 60 , Issue 4 , 01 August 2008 , pp. 721 - 733
Copyright
Copyright © Canadian Mathematical Society 2008

References

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