Lattice Ordered O -Minimal Structures

Notre Dame Journal of Formal Logic 39 (4):447-463 (1998)
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Abstract

We propose a notion of -minimality for partially ordered structures. Then we study -minimal partially ordered structures such that is a Boolean algebra. We prove that they admit prime models over arbitrary subsets and we characterize -categoricity in their setting. Finally, we classify -minimal Boolean algebras as well as -minimal measure spaces

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10.1305/ndjfl/1039118862

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Citations of this work

Small theories of Boolean ordered o-minimal structures.Roman Wencel - 2002 - Journal of Symbolic Logic 67 (4):1385-1390.
Definable sets in Boolean ordered o-minimal structures. II.Roman Wencel - 2003 - Journal of Symbolic Logic 68 (1):35-51.
Weak elimination of imaginaries for Boolean algebras.Roman Wencel - 2005 - Annals of Pure and Applied Logic 132 (2-3):247-270.

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