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Some two-cardinal results for O-minimal theories
Published online by Cambridge University Press: 12 March 2014
Abstract
We examine two-cardinal problems for the class of O-minimal theories. We prove that an O-minimal theory which admits some (κ, λ) must admit every (κ′, λ′). We also prove that every “reasonable” variant of Chang's Conjecture is true for O-minimal structures. Finally, we generalize these results from the two-cardinal case to the δ-cardinal case for arbitrary ordinals δ.
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- Copyright © Association for Symbolic Logic 1998
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