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Generic stability independence and treeless theo- ries.Forum of Mathematics, Sigma, 12:e49, 2024

Itay Kaplan, Nicholas Ramsey, Pierre Simon · 2024

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SOP$_2$=SOP$_3$

math.LO · 2026-08-13 · conditional · novelty 9.0

Every first-order theory with the tree property SOP2 also has SOP3, so SOP1, SOP2, and SOP3 define one identical dividing line.

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  • SOP$_2$=SOP$_3$ math.LO · 2026-08-13 · conditional · none · ref 11

    Every first-order theory with the tree property SOP2 also has SOP3, so SOP1, SOP2, and SOP3 define one identical dividing line.