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- W4298587796 abstract "We show that NSOP$_{1}$ theories are exactly the theories in which Kim-independence satisfies a form of local character. In particular, we show that if $T$ is NSOP$_{1}$, $Mmodels T$, and $p$ is a type over $M$, then the collection of elementary substructures of size $left|Tright|$ over which $p$ does not Kim-fork is a club of $left[Mright]^{left|Tright|}$ and that this characterizes NSOP$_{1}$. We also present a new phenomenon we call dual local-character for Kim-independence in NSOP$_{1}$-theories." @default.
- W4298587796 created "2022-10-02" @default.
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- W4298587796 date "2017-07-10" @default.
- W4298587796 modified "2023-09-30" @default.
- W4298587796 title "Local character of Kim-independence" @default.
- W4298587796 doi "https://doi.org/10.48550/arxiv.1707.02902" @default.
- W4298587796 hasPublicationYear "2017" @default.
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