Infinitely Peano differentiable functions in polynomially bounded o-minimal structures

DOI10.1016/j.apal.2010.06.001zbMath1241.03047OpenAlexW1976087186MaRDI QIDQ636385

Andreas Fischer

Publication date: 26 August 2011

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apal.2010.06.001

zbMATH Keywords

smooth functionPeano-differentiable functionpolynomially bounded o-minimal structure

Mathematics Subject Classification ID

Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) (C^infty)-functions, quasi-analytic functions (26E10) Model theory of ordered structures; o-minimality (03C64)

Cites Work

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• Geometric categories and o-minimal structures
• O-minimal \(\Lambda ^{m}\)-regular stratification
• Peano differentiable extensions in o-minimal structures
• Zero-set property of o-minimal indefinitely Peano differentiable functions
• Singularities of o-minimal Peano derivatives
• Subanalytic blow-$\mathcal {C}^m$ functions
• Infinite Differentiability in Polynomially Bounded O-Minimal Structures
• Differentiability of a Function and of its Compositions with Functions of One Variable.

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