Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

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
Published electronically: May 9, 2006
MathSciNet review: 2231383
Full-text PDF Free Access

Abstract | References | Similar Articles | 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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 03C10, 14P15, 03C64

Retrieve articles in all journals with MSC (2000): 03C10, 14P15, 03C64


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
Published electronically: May 9, 2006
Article copyright: © Copyright 2006 American Mathematical Society