Abstract
We show, for each computable ordinal $\alpha$ and degree $\mathbf{a} > \mathbf{0}^{(\alpha)}$, the existence of a torsion-free abelian group with proper $\alpha^{th}$ jump degree $\mathbf{a}$.
Citation
Brooke M. Andersen. Asher M. Kach. Alexander G. Melnikov. Reed Solomon. "Jump degrees of torsion-free abelian groups." J. Symbolic Logic 77 (4) 1067 - 1100, December 2012. https://doi.org/10.2178/jsl.7704020
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