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A non-splitting theorem in the enumeration degrees

Mariya Ivanova Soskova

Annals of Pure and Applied Logic 160 (3):400-418 (2009)

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Gerald E. Sacks. The recursively enumerable degrees are dense. Annals of mathematics, ser. 2 vol. 80 (1964), pp. 300–312. [REVIEW]Gerald E. Sacks - 1969 - Journal of Symbolic Logic 34 (2):294-295.details Logic and Philosophy of Logic Logic and Philosophy of Logic, Miscellaneous in Logic and Philosophy of Logic Direct download (2 more) Export citation Bookmark 38 citations
On the Degrees Less than 0'.Gerald E. Sacks - 1964 - Journal of Symbolic Logic 29 (1):60-60.details Logic and Philosophy of Logic Logic and Philosophy of Logic, Miscellaneous in Logic and Philosophy of Logic Direct download Export citation Bookmark 18 citations
How Enumeration Reducibility Yields Extended Harrington Non-Splitting.Mariya I. Soskova & S. Barry Cooper - 2008 - Journal of Symbolic Logic 73 (2):634 - 655.details Logic and Philosophy of Logic Logic and Philosophy of Logic, Miscellaneous in Logic and Philosophy of Logic Model Theory in Logic and Philosophy of Logic Direct download (4 more) Export citation Bookmark 5 citations
Then-rea enumeration degrees are dense.Alistair H. Lachlan & Richard A. Shore - 1992 - Archive for Mathematical Logic 31 (4):277-285.details Areas of Mathematics in Philosophy of Mathematics Direct download (3 more) Export citation Bookmark 20 citations
A recursively enumerable degree which will not split over all lesser ones.Alistair H. Lachlan - 1976 - Annals of Mathematical Logic 9 (4):307.details Logic and Philosophy of Logic Model Theory in Logic and Philosophy of Logic Direct download (3 more) Export citation Bookmark 39 citations
Partial degrees and the density problem. Part 2: The enumeration degrees of the ∑2 sets are dense.S. B. Cooper - 1984 - Journal of Symbolic Logic 49 (2):503 - 513.details Logic and Philosophy of Logic Logic and Philosophy of Logic, Miscellaneous in Logic and Philosophy of Logic Direct download (6 more) Export citation Bookmark 21 citations

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