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Journal article

Quasianalytic Denjoy-Carleman classes and o-minimality

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.

Authors

Rolin J-P; Speissegger P; Wilkie AJ

Journal

Journal of the American Mathematical Society, Vol. 16, No. 4, pp. 751–777

Publisher

American Mathematical Society (AMS)

Publication Date

March 21, 2003

DOI

10.1090/s0894-0347-03-00427-2

ISSN

0894-0347

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