Mathematical Logic Quarterly 56 (5):503-507 (2010)
| 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] → ℝ there is a definable C∞ function g: [–ε, 1] → ℝ, for some ε > 0, such that g = g0 for all x ∈ [0, 1]
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| Keywords | Definability o‐minimal structures |
| Categories | (categorize this paper) |
| DOI | 10.1002/malq.200910105 |
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References found in this work BETA
On the Elementary Theory of Restricted Elementary Functions.Lou van den Dries - 1988 - Journal of Symbolic Logic 53 (3):796-808.
Nondefinability Results for Expansions of the Field of Real Numbers by the Exponential Function and by the Restricted Sine Function.Ricardo Bianconi - 1997 - Journal of Symbolic Logic 62 (4):1173-1178.
On the Elementary Theory of Restricted Elementary Functions.Lou van den Dries - 1988 - Journal of Symbolic Logic 53 (3):796 - 808.
Citations of this work BETA
Extension of C∞ Functions in Polynomially Bounded o-Minimal Structure.Hassan Sfouli - 2022 - Annals of Pure and Applied Logic 173 (1):103027.
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