Journal of Symbolic Logic

Elimination of imaginaries in expansions of o-minimal structures by generic sets

Sergio Fratarcangeli

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Abstract

Let TP be the theory obtained by adding a generic predicate to an o-minimal theory T. We prove that if T admits elimination of imaginaries, then TP also admits elimination of imaginaries.

Article information

Source
J. Symbolic Logic, Volume 70, Issue 4 (2005), 1150-1160.

Dates
First available in Project Euclid: 18 October 2005

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1129642120

Digital Object Identifier
doi:10.2178/jsl/1129642120

Mathematical Reviews number (MathSciNet)
MR2194242

Zentralblatt MATH identifier
1108.03045

Subjects
Primary: 03C64: Model theory of ordered structures; o-minimality

Keywords
generic predicates elimination of imaginaries o-minimal structures

Citation

Fratarcangeli, Sergio. Elimination of imaginaries in expansions of o-minimal structures by generic sets. J. Symbolic Logic 70 (2005), no. 4, 1150--1160. doi:10.2178/jsl/1129642120. https://projecteuclid.org/euclid.jsl/1129642120


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