Properties of the jump classes

Lewis-Pye, A. (2012). Properties of the jump classes. Journal of Logic and Computation, 22(4), 845-855. https://doi.org/10.1093/logcom/exq047
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We describe a programme of research which aims to find natural definability results in the Turing degrees through a systematic analysis of the order theoretic properties satisfied by the degrees in each jump class.

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