Turing independence and Baire category

Ashutosh Kumar*, Saharon Shelah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We show that it is relatively consistent with ZFC that there is a non-meager set of reals X such that for every non-meager Y ⊆ X, there exist distinct x,y,z € Y such that z is computable from the Turing join of x and y.

Original languageEnglish
Article number2450008
JournalJournal of Mathematical Logic
DOIs
StateAccepted/In press - 2023

Bibliographical note

Publisher Copyright:
© 2023 World Scientific Publishing Company.

Keywords

  • Forcing, Turing independence, Baire category

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