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Elementary extensions of countable models of set theory
Published online by Cambridge University Press: 12 March 2014
Abstract
We prove the following extension of a result of Keisler and Morley. Suppose is a countable model of ZFC and c is an uncountable regular cardinal in . Then there exists an elementary extension of which fixes all ordinals below c, enlarges c, and either (i) contains or (ii) does not contain a least new ordinal.
Related results are discussed.
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- Research Article
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- Copyright © Association for Symbolic Logic 1976
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