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Valuation theory of exponential Hardy fields. I

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Publication:1395393
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DOI10.1007/s00209-002-0460-4zbMath1024.12007OpenAlexW2152926748MaRDI QIDQ1395393

Franz-Viktor Kuhlmann, Salma Kuhlmann

Publication date: 1 July 2003

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-91211


zbMATH Keywords

valuationHardy fieldo-definable functionsordered differential fieldpolynomially bounded o-minimal expansionsrestricted logarithmic functionsunrestricted real exponential function


Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Rate of growth of functions, orders of infinity, slowly varying functions (26A12) Non-Archimedean valued fields (12J25) Model theory of fields (12L12)


Related Items

Two remarks on polynomially bounded reducts of the restricted analytic field with exponentiation ⋮ Expansions of the Real Field by Canonical Products ⋮ Valuation theory of exponential Hardy fields II: Principal parts of germs in the Hardy field of o-minimal exponential expansions of the reals ⋮ Defect of an extension, key polynomials and local uniformization ⋮ Linear independence of finite Gabor systems determined by behavior at infinity



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