Limitwise monotonic sets of reals
M. Kh. FaĭzrahmanovDepartment of Mathematics and Mechanics Kazan (Volga Region) Federal University 420008 Kazan RussiaI. Sh. KalimullinDepartment of Mathematics and Mechanics Kazan (Volga Region) Federal University 420008 Kazan Russia
2015en
ABI
Abstract
We extend the limitwise monotonicity notion to the case of arbitrary computable linear ordering to get a set which is limitwise monotonic precisely in the non‐computable degrees. Also we get a series of connected non‐uniformity results to obtain new examples of non‐uniformly equivalent families of computable sets with the same enumeration degree spectrum.
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Cited by 20 references