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Lattice nonembeddings and initial segments of the recursively enumerable degrees - MaRDI portal

Lattice nonembeddings and initial segments of the recursively enumerable degrees (Q757358)

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scientific article; zbMATH DE number 4191613
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Lattice nonembeddings and initial segments of the recursively enumerable degrees
scientific article; zbMATH DE number 4191613

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    Lattice nonembeddings and initial segments of the recursively enumerable degrees (English)
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    1990
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    The structure of an arbitrary initial segment of the upper semilattice of r.e. degrees is investigated. Main result: There exists a nonzero r.e. degree that bounds no critical triple. Conjecture: Every lattice that contains no critical triple is embeddable below every nonzero r.e. degree.
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    embedding
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    initial segment of the upper semilattice of r.e. degrees
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    critical triple
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