Notre Dame Journal of Formal Logic 47 (1):93-99 (2006)
Abstract |
Let P be the ω-orbit of a point under a unary function definable in an o-minimal expansion ℜ of a densely ordered group. If P is monotonically cofinal in the group, and the compositional iterates of the function are cofinal at +\infty in the unary functions definable in ℜ, then the expansion (ℜ, P) has a number of good properties, in particular, every unary set definable in any elementarily equivalent structure is a disjoint union of open intervals and finitely many discrete sets
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Keywords | o-minimal d-minimal densely ordered group |
Categories | (categorize this paper) |
DOI | 10.1305/ndjfl/1143468314 |
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References found in this work BETA
T-Convexity and Tame Extensions II.Lou Van Den Dries - 1997 - Journal of Symbolic Logic 62 (1):14-34.
Expansions of Dense Linear Orders with the Intermediate Value Property.Chris Miller - 2001 - Journal of Symbolic Logic 66 (4):1783-1790.
T-Convexity and Tame Extensions II.Lou Van Den Dries - 1997 - Journal of Symbolic Logic 62 (1):14 - 34.
Expansions of o-Minimal Structures by Fast Sequences.Harvey Friedman & Chris Miller - 2005 - Journal of Symbolic Logic 70 (2):410-418.
Citations of this work BETA
Expansions of o-Minimal Structures by Fast Sequences.Harvey Friedman & Chris Miller - 2005 - Journal of Symbolic Logic 70 (2):410-418.
Expansions of Real Closed Fields That Introduce No New Smooth Functions.Pantelis E. Eleftheriou & Alex Savatovsky - 2020 - Annals of Pure and Applied Logic 171 (7):102808.
Definably Connected Nonconnected Sets.Antongiulio Fornasiero - 2012 - Mathematical Logic Quarterly 58 (1):125-126.
Expansions of the Real Field by Open Sets: Definability Versus Interpretability.Harvey Friedman, Krzysztof Kurdyka, Chris Miller & Patrick Speissegger - 2010 - Journal of Symbolic Logic 75 (4):1311-1325.
T-Height in Weakly O-Minimal Structures.James Tyne - 2006 - Journal of Symbolic Logic 71 (3):747 - 762.
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