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Preprint Number 222
222. John Goodrick, Michael C. Laskowski The Schröder-Bernstein property for weakly minimal theories E-mail: Submission date: 7 December 2009. Abstract: For a countable, weakly minimal theory, we show that the Schroeder-Bernstein property (any two elementarily bi-embeddable models are isomorphic) is equivalent to both a condition on orbits of rank 1 types and the property that the theory has no infinite collection of pairwise bi-embeddable, pairwise nonisomorphic models. We conclude that for countable weakly minimal theories, the Schroeder-Bernstein property is absolute between transitive models of ZFC. Mathematics Subject Classification: Keywords and phrases: |
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