Initial segments of the degrees of constructibility (Q1109767)
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scientific article; zbMATH DE number 4070885
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Initial segments of the degrees of constructibility |
scientific article; zbMATH DE number 4070885 |
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Initial segments of the degrees of constructibility (English)
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1988
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This paper defines the notion of (countable) algebraic lattices; as a special case, well founded lattices or complete linear orderings are algebraic. It is shown that for every constructible countable algebraic lattice \({\mathcal L}\) there is a generic extension M of L (the constructible universe) such that the degrees of constructibility of the reals in M form a lattice isomorphic to \({\mathcal L}\). Examples are given of complete but non-algebraic lattices which cannot be realized in this way.
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algebraic lattices
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constructible universe
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degrees of constructibility
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