Splitting and nonsplitting in the Σ2 0 enumeration degrees of the
enumeration degrees, for which the Ershov hierarchy provides an informative setting. The main results below
Positive Presentations of Families Relative to e-Oracles-numberings for the natural families of sets e-
reducible to a fixed set. We prove that, for every computable A
Splitting and nonsplitting in the Σ2 0 enumeration degrees of the
enumeration degrees, for which the Ershov hierarchy provides an informative setting. The main results below
Irreducible, Singular, and Contiguous Degrees algorithmic
reducibilities inside the degrees of weaker algorithmic ones. Results in this area are reviewed
The least Σ-jump inversion theorem for N-families© J.UCS. Studying the Σ-
reducibility of families introduced by [Kalimullin and Puzarenko 2009] we