The limitations of cupping in the local structure of the enumeration degrees
نویسنده
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.
منابع مشابه
Cupping and definability in the local structure of the enumeration degrees
We show that every splitting of 0e in the local structure of the enumeration degrees, Ge, contains at least one low-cuppable member. We apply this new structural property to show that the classes of all K-pairs in Ge, all downwards properly Σ2 enumeration degrees and all upwards properly Σ2 enumeration degrees are first order definable in Ge.
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متن کاملThe effect of cupping (hejamat) on blood biochemical and immunological parameters
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ورودعنوان ژورنال:
- Arch. Math. Log.
دوره 49 شماره
صفحات -
تاریخ انتشار 2010