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- W1603046657 abstract "AbstractIn this paper, we prove that for any nonzero cappable degree c, there is a d.c.e. degree d and a c.e. degree b < d such that c cups d to 0′, caps b to 0 and for any c.e. degree w, either w ≤ b or ({bf w}lor{bf d}={bf 0}prime). This result has several well-known theorems as direct corollaries, including Arslanov’s cupping theorem, Downey’s diamond theorem, Downey-Li-Wu’s complementation theorem, and Li-Yi’s cupping theorem, etc." @default.
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- W1603046657 date "2011-01-01" @default.
- W1603046657 modified "2023-10-17" @default.
- W1603046657 title "Cupping and Diamond Embeddings: A Unifying Approach" @default.
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- W1603046657 doi "https://doi.org/10.1007/978-3-642-21875-0_8" @default.
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