We prove some results on the Delta^0_2 e-degrees. We show that 0_e' splits in the Delta^0_2 e-degrees above any incomplete Delta^0_2 e-degree; on the other hand, one can find a splitting of 0_e' into Delta^0_2 e-degrees b and d, such that 0_e' e b cup c, for any omega-r.e. e-degree c<0_e'.

Arslanov, M., Sorbi, A. (1999). Relative splittings of 0_e' in the Delta_2^0 enumeration degrees. In Logic Colloquium '98 (pp.44-56). Natick, Massachusetts : Association for Symbolic Logic, A.K. Ltd.

Relative splittings of 0_e' in the Delta_2^0 enumeration degrees

Sorbi, Andrea
1999-01-01

Abstract

We prove some results on the Delta^0_2 e-degrees. We show that 0_e' splits in the Delta^0_2 e-degrees above any incomplete Delta^0_2 e-degree; on the other hand, one can find a splitting of 0_e' into Delta^0_2 e-degrees b and d, such that 0_e' e b cup c, for any omega-r.e. e-degree c<0_e'.
1999
1-56881-114-4
1-56881-113-6
Arslanov, M., Sorbi, A. (1999). Relative splittings of 0_e' in the Delta_2^0 enumeration degrees. In Logic Colloquium '98 (pp.44-56). Natick, Massachusetts : Association for Symbolic Logic, A.K. Ltd.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11365/1082953