Turing independence and Baire category

Journal of Mathematical Logic (forthcoming)
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Abstract

We show that it is relatively consistent with ZFC that there is a non-meager set of reals [Formula: see text] such that for every non-meager [Formula: see text], there exist distinct [Formula: see text] such that [Formula: see text] is computable from the Turing join of [Formula: see text] and [Formula: see text].

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