Transactions of the American Mathematical Society

Author(s): Daniel J. Miller
Journal: Trans. Amer. Math. Soc. 358 (2006), 4395-4439.
MSC (2000): Primary 03C10, 14P15; Secondary 03C64
Posted: May 9, 2006
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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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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 03C10, 14P15, 03C64

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: 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
Copyright of article: Copyright 2006, American Mathematical Society

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