Limitwise monotonic sets of reals
M. Kh. Faĭzrahmanov, ISKANDER SH. KALIMULLIN · Mathematical logic quarterly · 2015
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.