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Quasianalytic Denjoy-Carleman classes and o-minimality |
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| Authors: | J.-P. Rolin P. Speissegger A. J. Wilkie |
| Affiliation: | Laboratoire de Topologie, Université de Bourgogne, 9 Av. Alain Savary, B.P. 47870, 21078 Dijon Cedex, France ; Department of Mathematics, University of Wisconsin, 480 Lincoln Drive, Madison, Wisconsin 53706 ; Mathematical Institute, University of Oxford, 24-29 St. Giles', Oxford OX1 3LB, United Kingdom |
| 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. |
| Keywords: | Quasianalytic classes o-minimal structures resolution of singularities |
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