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

Sergio Fratarcangeli

doi:10.2178/jsl/1129642120

Abstract

Let T_P 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 T_P also admits elimination of imaginaries.

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Sergio Fratarcangeli. "Elimination of imaginaries in expansions of o-minimal structures by generic sets." J. Symbolic Logic 70 (4) 1150 - 1160, December 2005. https://doi.org/10.2178/jsl/1129642120

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Published: December 2005

First available in Project Euclid: 18 October 2005

zbMATH: 1108.03045

MathSciNet: MR2194242

Digital Object Identifier: 10.2178/jsl/1129642120

Subjects:

Primary: 03C64

Keywords: elimination of imaginaries , generic predicates , o-minimal structures

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