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Apr 17, 2023 at 5:01 comment added Hanul Jeon Is this question related to your previous deleted question about the failure of perfect set property for $\Pi^1_2$-sets but PSP holds for $\Sigma^1_2$-sets?
Apr 16, 2023 at 14:05 vote accept Lorenzo
Apr 15, 2023 at 23:12 answer added Ali Enayat timeline score: 8
Apr 14, 2023 at 14:41 comment added Gabe Goldberg Interesting! I didn't know about this paper.
Apr 14, 2023 at 14:05 comment added Lorenzo @GabeGoldberg That's what I initially thought, but he isn't. I edited the question and added a link to the paper, written by Jensen and Solovay, in which they apply the almost disjoint forcing to get such a real (from $\mathsf{ZFC}$ alone).
Apr 14, 2023 at 11:50 history edited Lorenzo CC BY-SA 4.0
deleted 30 characters in body
Apr 14, 2023 at 7:19 history edited Lorenzo CC BY-SA 4.0
added 178 characters in body
Apr 13, 2023 at 21:03 comment added Gabe Goldberg I think he might just be referring to zero sharp and the model $L[0^\#]$. The fact that zero sharp is a $\Pi^1_2$-singleton is proved in both Jech and Kanamori’s books.
Apr 13, 2023 at 8:49 history asked Lorenzo CC BY-SA 4.0