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

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

2005-06-06

arxiv.org/abs/math/0506109v1

Mathematics

Logic

22 pages

Scientific paper

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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