Initial Segments of Degrees Below $\underline {0}^\prime $
Richard L. Epstein
Jan 1981 · American Mathematical Society: Memoirs of the American Mathematical Society Book 241 · American Mathematical Soc.
Ebook
102
Pages
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About this ebook
We prove two main results: (1) [lowercase Greek]Omega + 1 is an initial segment of the degrees ([less-than or equal to]≤ a̲ for any r.e. a̲ [not equal to] 0̲ , and (2) given any 0̲ [less than] a̲ [less than] h̲ where a̲ and h̲ are r.e. and h̲ is high, there is a minimal degree m̲ [less than] h̲ such that m̲ [set-theoretic union] a̲ = h̲.
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