Infinitely Peano differentiable functions in polynomially bounded o-minimal structures

Annals of Pure and Applied Logic 161 (12):1520-1524 (2010)
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Abstract

Let be an o-minimal expansion of a real closed field. We show that the definable infinitely Peano differentiable functions are smooth if and only if is polynomially bounded

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10.1016/j.apal.2010.06.001

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O -minimal Λ m -regular stratification.Andreas Fischer - 2007 - Annals of Pure and Applied Logic 147 (1):101-112.

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