Separating weak α-change and α-change genericity

Michael McInerney,Keng Meng Ng

Annals of Pure and Applied Logic(2022)

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摘要
In [13], a transfinite hierarchy of genericity notions stronger than 1-genericity and weaker than 2-genericity was introduced. We close a line of questioning begun there by showing that for every α⩽ε0 which is a power of ω, there is a Δ20 Turing degree a which is weakly α-change generic, but not α-change generic.
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关键词
03D25,03D55,03D80,03D28
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