Fratarcangeli, Sergio Elimination of imaginaries in expansions of o-minimal structures by generic sets. (English) Zbl 1108.03045 J. Symb. Log. 70, No. 4, 1150-1160 (2005). Let \(T\) be an o-minimal theory and let \(T_p\) be obtained by adding a generic predicate. The author shows: If \(T\) is o-minimal and elimininates imaginaries, then \(T_p\) also eliminates imaginaries. The paper also contains a characterization of the unary relations definable in expansions of o-minimal structures by generic sets. Reviewer: Martin Weese (Potsdam) Cited in 4 Documents MSC: 03C64 Model theory of ordered structures; o-minimality Keywords:generic predicate; elimination of imaginaries; o-minimal structure × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Tame topology and o-minimal structures (1998) · Zbl 0953.03045 [2] A course in model theory (2000) [3] Fundamenta Mathematicae pp 193– (1999) · Zbl 0933.00004 [4] Model theory and algebraic geometry: An introduction to E. Hrushovski’s proof of the Geometric Mordell-Lang Conjecture pp 19– (1998) [5] Model theory (1993) [6] Annals of Pure and Applied Logic pp 71– (1998) [7] Logic Colloquium ’01 (Vienna) 20 pp 281– (2005) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.