Members of thin Π₁⁰ classes and generic degrees

DOI10.1090/PROC/15325OpenAlexW3114258067MaRDI QIDQ5081539

Bowen Yuan, Frank Stephan, Guohua Wu

Publication date: 15 June 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.04539

zbMATH Keywords

generic degreethin \(\Pi_1^0\) class

Mathematics Subject Classification ID

Other degrees and reducibilities in computability and recursion theory (03D30) Other Turing degree structures (03D28)

Cites Work

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• Minimal degrees recursive in 1-generic degrees
• The density of infima in the recursively enumerable degrees
• The density of the nonbranching degrees
• Countable thin \(\Pi^0_1\) classes
• Classical recursion theory. Vol. II
• Degrees of members of \(\Pi_ 1^ 0\) classes
• The degrees below a 1-generic degree < 0′
• Degrees containing members of thin Π10 classes are dense and co-dense
• Axiomatizable theories with few axiomatizable extensions
• ∏ 0 1 Classes and Degrees of Theories

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