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Uniform Linear Bound in Chevalley's Lemma |
Canad. J. Math. 60(2008), 721-733
Published:2008-08-01
Printed: Aug 2008
Printed: Aug 2008
- J. Adamus
- E. Bierstone
- P. D. Milman
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 |
| MSC Classifications: |
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 |