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Lattice ordered o-minimal structures - MaRDI portal

Lattice ordered o-minimal structures (Q5937830)

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scientific article; zbMATH DE number 1620825
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Lattice ordered o-minimal structures
scientific article; zbMATH DE number 1620825

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    Lattice ordered o-minimal structures (English)
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    17 July 2001
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    The author proposes a generalization of the notion of o-minimality for partially ordered structures. He shows that a Boolean algebra is o-minimal exactly if it has finitely many atoms. He investigates the existence of prime models. He also classifies o-minimal measure spaces.
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    Boolean lattice
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    o-minimality
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    partially ordered structures
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    Boolean algebra
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    prime models
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    o-minimal measure spaces
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