On preparation theorems for R_{an, exp}-definable functions

DOI10.4115/jla.2023.15.1zbMath1524.14124arXiv2112.08161WikidataQ122053356 ScholiaQ122053356MaRDI QIDQ6170639

Andre Opris

Publication date: 10 August 2023

Published in: Journal of Logic and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.08161

zbMATH Keywords

o-minimal structurespreparation theoremslog-analytic functionsexponential number

Mathematics Subject Classification ID

Real-analytic and semi-analytic sets (14P15) (C^infty)-functions, quasi-analytic functions (26E10) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Elementary functions (26A09) Real-analytic functions (26E05) Model theory of ordered structures; o-minimality (03C64)

Related Items (1)

Restricted log-exp-analytic power functions

Cites Work

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• Global complexification of real analytic globally subanalytic functions
• Stability under integration of sums of products of real globally subanalytic functions and their logarithms
• The elementary theory of restricted analytic fields with exponentiation
• 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
• A remark on the Lion-Rolin Preparation Theorem for LA-functions
• A preparation theorem for Weierstrass systems

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