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



Journal of Symbolic Logic

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

Sergio Fratarcangeli

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

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.

Primary Subjects: 03C64
Keywords: generic predicates; elimination of imaginaries; o-minimal structures

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.jsl/1129642120
Digital Object Identifier: doi:10.2178/jsl/1129642120

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