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Uniform Linear Bound in Chevalley's Lemma

  Published:2008-08-01
 Printed: Aug 2008
  • J. Adamus
  • E. Bierstone
  • P. D. Milman
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Abstract

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: Chevalley function, regular mapping, Nash subanalytic set Chevalley function, regular mapping, Nash subanalytic set
MSC Classifications: 13J07, 32B20, 13J10, 32S10 show english descriptions Analytical algebras and rings [See also 32B05]
Semi-analytic sets and subanalytic sets [See also 14P15]
Complete rings, completion [See also 13B35]
Invariants of analytic local rings
13J07 - Analytical algebras and rings [See also 32B05]
32B20 - Semi-analytic sets and subanalytic sets [See also 14P15]
13J10 - Complete rings, completion [See also 13B35]
32S10 - Invariants of analytic local rings
 

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