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Apr 12, 2018 at 19:19 comment added YCor Oh, I got used to refer to this as "Rudin-Shelah problem", then forgot that I possibly coined this practical formulation :)
Apr 12, 2018 at 19:16 comment added YCor PS the simplicity result was also obtained by S. Fuchino, Archive for Mathematical Logic 1992, Volume 31, Issue 5, pp 319-330, link.springer.com/article/10.1007%2FBF01627505, which provides additional valuable references.
Apr 12, 2018 at 19:16 comment added Bjørn Kjos-Hanssen Thanks a lot! Interestingly Google reports No results found for "rudin-shelah problem" (well, before you posted this answer)
Apr 12, 2018 at 19:14 vote accept Bjørn Kjos-Hanssen
Apr 12, 2018 at 19:08 history answered YCor CC BY-SA 3.0