Restricted log-exp-analytic power functions

DOI10.4064/ap221218-2-6arXiv2212.09141MaRDI QIDQ6086096

Andre Opris

Publication date: 9 November 2023

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.09141

zbMATH Keywords

differentiabilitydefinabilitypreparation

Mathematics Subject Classification ID

(C^infty)-functions, quasi-analytic functions (26E10) Elementary functions (26A09) Real-analytic functions (26E05) Model theory of ordered structures; o-minimality (03C64)

Cites Work

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• Expansions of the real field with power functions
• Théorème de préparation pour les fonctions logarithmico-exponentielles. (Preparation theorem for logarithmico-exponential functions)
• Extending Tamm's theorem
• Geometric categories and o-minimal structures
• Differentiability properties of log-analytic functions
• Restricted log-exp-analytic functions and some differentiability results
• On preparation theorems for R_{an, exp}-definable functions

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