The Distribution of Properly $Sigma^0_2$ e-Degrees

Journal of Symbolic Logic 65 (1):19-32 (2000)
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Abstract

We show that for every enumeration degree $a < 0'_e$ there exists an e-degree c such that $a \leq c < 0'_e$, and all degrees b, with $c \leq b < 0'_e$, are properly $\Sigma^0_2$

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