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A preparation theorem for Weierstrass systems
Author:
Daniel J. Miller
Journal:
Trans. Amer. Math. Soc. 358 (2006), 4395-4439
MSC (2000):
Primary 03C10, 14P15; Secondary 03C64
Posted:
May 9, 2006
MathSciNet review:
2231383
Full-text PDF Free Access
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Additional Information
Abstract: It is shown that Lion and Rolin's preparation theorem for globally subanalytic functions holds for the collection of definable functions in any expansion of the real ordered field by a Weierstrass system.
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Additional Information
Daniel J. Miller
Affiliation:
Department of Mathematics, University of Wisconsin-Madison, 480 Lincoln Drive, Madison, Wisconsin 53706-1388
Email:
daniel_jeffrey_miller@yahoo.com
DOI:
http://dx.doi.org/10.1090/S0002-9947-06-04190-0
PII:
S 0002-9947(06)04190-0
Keywords:
Subanalytic preparation theorem,
Weierstrass preparation
Received by editor(s):
August 20, 2004
Posted:
May 9, 2006
Article copyright:
© Copyright 2006 American Mathematical Society
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