The Boolean spectrum of an o-minimal theory (Q1262301)
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scientific article; zbMATH DE number 4123708
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Boolean spectrum of an o-minimal theory |
scientific article; zbMATH DE number 4123708 |
Statements
The Boolean spectrum of an o-minimal theory (English)
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1989
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The authors show that the number of isomorphism types of Boolean algebras of definable subsets of countable models of an o-minimal theory is either 1 or \(2^{\aleph_ 0}\), and further that the number of such isomorphism types is 1 if and only if no countable model of the o-minimal theory contains an infinite discretely ordered interval.
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number of isomorphism types of Boolean algebras of definable subsets of countable models of an o-minimal theory
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