The limitations of cupping in the local structure of the enumeration degrees

نویسنده

  • Mariya Ivanova Soskova
چکیده

We prove that a sequence of sets containing representatives of cupping partners for every nonzero ∆2 enumeration degree cannot have a ∆ 0 2 enumeration. We also prove that no subclass of the Σ 2 enumeration degrees containing the nonzero 3-c.e. enumeration degrees can be cupped to 0e by a single incomplete Σ 2 enumeration degree.

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عنوان ژورنال:
  • Arch. Math. Log.

دوره 49  شماره 

صفحات  -

تاریخ انتشار 2010