On o-minimality of extensions of R by restricted generic smooth functions
classification
🧮 math.LO
math.OC
keywords
genericsmoothfunctionsrestrictedapplicationscountablycubeextension
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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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