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]
|
Keywords | Definability o‐minimal structures |
Categories | (categorize this paper) |
DOI | 10.1002/malq.200910105 |
Options |
![]() ![]() ![]() ![]() |
Download options
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.
Similar books and articles
A Fixed Point Theorem for o-Minimal Structures.Kam-Chau Wong - 2003 - Mathematical Logic Quarterly 49 (6):598.
A Note on Weakly O-Minimal Structures and Definable Completeness.Alfred Dolich - 2007 - Notre Dame Journal of Formal Logic 48 (2):281-292.
On Uniform Definability of Types Over Finite Sets.Vincent Guingona - 2012 - Journal of Symbolic Logic 77 (2):499-514.
Construction of Saturated Quasi-Minimal Structure.Masanori Itai, Akito Tsuboi & Kentaro Wakai - 2004 - Journal of Symbolic Logic 69 (1):9-22.
Lattice Ordered O -Minimal Structures.Carlo Toffalori - 1998 - Notre Dame Journal of Formal Logic 39 (4):447-463.
Minimal but Not Strongly Minimal Structures with Arbitrary Finite Dimensions.Koichiro Ikeda - 2001 - Journal of Symbolic Logic 66 (1):117-126.
Quasi-o-Minimal Structures.Oleg Belegradek, Ya'acov Peterzil & Frank Wagner - 2000 - Journal of Symbolic Logic 65 (3):1115-1132.
Some Two-Cardinal Results for o-Minimal Theories.Timothy Bays - 1998 - Journal of Symbolic Logic 63 (2):543-548.
Weakly o-Minimal Structures and Some of Their Properties.B. Sh Kulpeshov - 1998 - Journal of Symbolic Logic 63 (4):1511-1528.
Definability and Initial Segments of C-Degrees.Robert S. Lubarsky - 1988 - Journal of Symbolic Logic 53 (4):1070-1081.
Locally o-Minimal Structures and Structures with Locally o-Minimal Open Core.Antongiulio Fornasiero - 2013 - Annals of Pure and Applied Logic 164 (3):211-229.
The Minimal Complementation Property Above 0′.Andrew E. M. Lewis - 2005 - Mathematical Logic Quarterly 51 (5):470-492.
Analytics
Added to PP index
2013-12-01
Total views
42 ( #267,581 of 2,498,760 )
Recent downloads (6 months)
1 ( #422,193 of 2,498,760 )
2013-12-01
Total views
42 ( #267,581 of 2,498,760 )
Recent downloads (6 months)
1 ( #422,193 of 2,498,760 )
How can I increase my downloads?
Downloads