A nonlow2 R. E. Degree with the Extension of Embeddings Properties of a low2 Degree

Mathematical Logic Quarterly 48 (1):131-146 (2002)
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Abstract

We construct a nonlow2 r.e. degree d such that every positive extension of embeddings property that holds below every low2 degree holds below d. Indeed, we can also guarantee the converse so that there is a low r.e. degree c such that that the extension of embeddings properties true below c are exactly the ones true belowd.Moreover, we can also guarantee that no b ≤ d is the base of a nonsplitting pair

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Yun Yang
University of California, Berkeley

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