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On o-minimality of extensions of $\R$ by restricted generic smooth functions

Alexei Grigoriev
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Abstract

It is shown that the extension of $\R$ by a generic smooth function restricted to the unit cube is o-minimal. The generalization to countably many generic smooth functions is indicated. Possible applications are sketched.

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Alexei Grigoriev. 2005-06-06. On o-minimality of extensions of $\R$ by restricted generic smooth functions. https://arxiv.org/abs/math/0506109

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