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Every Nonrecursive Many-One Degree Contains Either One or Infinitely Many Finite-One Degrees

Cintioli, Patrizio
arXiv (All) · Papers
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logic
This paper proves that every nonrecursive many-one degree contains either exactly one or infinitely many finite-one degrees. This gives a negative answer to Open Question 2 of Richter, Stephan, and Zhang~\cite[p.~17]{RSZ}. Earlier work established that, for almost every $A\subseteq\N$ with respect t
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