Properly Σ2 minimal degrees and 0″ complementation

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Mathematical Logic Quarterly 51 (3):274-276 (2005)
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Abstract

We show that there exists a properly Σ2 minimal degree b, and moreover that b can be chosen to join with 0′ to 0″ – so that b is a 0″ complement for every degree a such that 0′ ≤ a < 0″

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10.1002/malq.200410027

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Citations of this work

The degrees of bi-hyperhyperimmune sets.Uri Andrews, Peter Gerdes & Joseph S. Miller - 2014 - Annals of Pure and Applied Logic 165 (3):803-811.
The minimal complementation property above 0′.Andrew E. M. Lewis - 2005 - Mathematical Logic Quarterly 51 (5):470-492.

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Finite cupping sets.Andrew Lewis - 2004 - Archive for Mathematical Logic 43 (7):845-858.

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