On o-minimality of extensions of $\R$ by restricted generic smooth functions
Logic
2007-05-23 v1 Optimization and Control
Abstract
It is shown that the extension of 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.
Cite
@article{arxiv.math/0506109,
title = {On o-minimality of extensions of $\R$ by restricted generic smooth functions},
author = {Alexei Grigoriev},
journal= {arXiv preprint arXiv:math/0506109},
year = {2007}
}
Comments
22 pages