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arxiv: 1803.00433 · v3 · pith:TS4SQHPJnew · submitted 2018-03-01 · 🧮 math.LO

A note on NSOP₁ in one variable

classification 🧮 math.LO
keywords nsopvariableestablishformulafreenoteorderprove
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We prove that, in order to establish that a theory is NSOP$_{1}$, it suffices to show that no formula in a single free variable has SOP$_{1}$.

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