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Definable sets in Boolean-ordered o-minimal structures. I
Published online by Cambridge University Press: 12 March 2014
Abstract.
We prove weak elimination of imaginary elements for Boolean orderings with finitely many atoms. As a consequence we obtain equivalence of the two notions of o-minimality for Boolean ordered structures, introduced by C. Toffalori. We investigate atoms in Boolean algebras induced by algebraically closed subsets of Boolean ordered structures. We prove uniqueness of prime models in strongly o-minimal theories of Boolean ordered structures.
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- Copyright © Association for Symbolic Logic 2001
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