A splitting theorem for the ๐‘›-r.e. degrees

S. Barry Cooper ยท Proceedings of the American Mathematical Society ยท 1992

We prove a splitting theorem for the n-r.e. degrees, of which the Sacks Splitting Theorem [9] for the r.e. (= 1-r.e.) degrees is a special case. For background terminology and notation see [4] and [11].

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