Definability and nondefinability results for certain o‐minimal structures |
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| Authors: | Hassan Sfouli |
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| Affiliation: | Faculté des Sciences de Kénitra, Département de Mathématiques, BP 133, 14000 Kénitra, Maroc (Morocco) |
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| Abstract: | The main goal of this note is to study for certain o‐minimal structures the following propriety: for each definable C∞ function g0: [0, 1] → ? there is a definable C∞ function g: [–ε, 1] → ?, for some ε > 0, such that g (x) = g0(x) for all x ∈ [0, 1] (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
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| Keywords: | Definability o‐minimal structures |
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