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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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.
Imaginaries in Boolean Algebras.Roman Wencel - 2012 - Mathematical Logic Quarterly 58 (3):217-235.

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References found in this work

Model-Completions of Theories of Finitely Additive Measures with Values in An Ordered Field.Sauro Tulipani - 1981 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 27 (31-35):481-488.

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