The Best Cupping Sets
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We show that given any (Turing) degree 0< c≤ 0'and any uniformly Δ 2 sequence of degrees b 0, b 1, b 2,.. such that∀ i (bi≱ c), there exists 0< a< 0'such that for all i≥ 0, a∨ bi≱ c. If c is ce and b 0, b 1, b 2,.. are uniformly (strictly) below c then there exists such an a …
… It should also be noted that this view of insularity does not directly distinguish ' cupping sets ' as hollow components of a surface. Cupping sets can, however, be determined as capping sets of the complementary surface. With reference to Figs …
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