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2007.189: Quasianalytic Denjoy-Carleman classes and o-minimality

2007.189: J.-P. Rolin, P. Speissegger and A. J. Wilkie (2003) Quasianalytic Denjoy-Carleman classes and o-minimality. Journal of the American Mathematical Society, 16 (4). pp. 751-777. ISSN 1088-6834

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DOI: 10.1090/S0894-0347-03-00427-2

Abstract

We show that the expansion of the real field generated by the functions of a quasianalytic Denjoy-Carleman class is model complete and o-minimal, provided that the class satisfies certain closure conditions. Some of these structures do not admit analytic cell decomposition, and they show that there is no largest o-minimal expansion of the real field.

Item Type:Article
Subjects:MSC 2000 > 03 Mathematical logic and foundations
MSC 2000 > 14 Algebraic geometry
MSC 2000 > 32 Several complex variables and analytic spaces
MIMS number:2007.189
Deposited By:Mrs Louise Healey
Deposited On:20 November 2007

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