A non-splitting theorem in the enumeration degrees

نویسنده

  • Mariya Ivanova Soskova
چکیده

We complete a study of the splitting/non-splitting properties of the enumeration degrees below 0′e by proving an analog of Harrington’s non-splitting theorem for the Σ2 enumeration degrees. We show how non-splitting techniques known from the study of the c.e. Turing degrees can be adapted to the enumeration degrees.

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عنوان ژورنال:
  • Ann. Pure Appl. Logic

دوره 160  شماره 

صفحات  -

تاریخ انتشار 2009