Real Algebraic and Analytic Geometry

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45. Lou van den Dries, Patrick Speissegger:
O-minimal preparation theorems.

e-mail: ,
homepages: http://www.math.uiuc.edu/People/vddries.html, http://www.math.toronto.edu/~speisseg/

Submission: 2003, April 3.

Abstract:
We show that corresponding versions of Lion and Rolin's preparation theorems for globally subanalytic functions and log-exp globally subanalytic functions, respectively, hold if we replace the globally subanalytic functions by the functions definable in any fixed polynomially bounded, o-minimal expansion of the real field.

Mathematics Subject Classification (1991): 03C64, 14P15.

Keywords and Phrases: o-minimal structures, Valuation property, Preparation Theorems.

Full text, 23p.: dvi 109k, ps.gz 207k, pdf 264k.


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