Definable sets in Stone algebras

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Archive for Mathematical Logic 55 (5-6):749-757 (2016)
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Abstract

We investigate the definable subsets of Stone algebras, introduce the notion of pseudo o-minimality of partially ordered structures, and prove that the completion of the theory of Stone algebras is pseudo o-minimal. We also give the decomposition theorem of Stone algebras.

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10.1007/s00153-016-0491-x

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Lei Chen
Beijing Normal University

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Definable sets in Boolean ordered o-minimal structures. II.Roman Wencel - 2003 - Journal of Symbolic Logic 68 (1):35-51.

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