Definable sets in Stone algebras (Q506969)
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scientific article; zbMATH DE number 6680069
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Definable sets in Stone algebras |
scientific article; zbMATH DE number 6680069 |
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Definable sets in Stone algebras (English)
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2 February 2017
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The paper deals with definable sets of Stone algebras. The authors introduce the notion of pseudo o-minimality of a lattice-ordered structure and prove that the completion of the theory of Stone algebras is pseudo o-minimal. Thy also investigate the decomposition of Stone algebras and prove that any definable set of a Stone algebra is a union of finitely many disjoint pseudo intervals.
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pseudo o-minimality
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Stone algebra
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pseudocomplemented lattice
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lattice-ordered structure
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connected subset
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