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arXiv · 1111.0915

Tree indiscernibilities, revisited

Byunghan Kim·Hyeung-Joon Kim·Lynn Scow
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Abstract

We give definitions that distinguish between two notions of indiscernibility for a set $\{a_η\mid η\in \W\}$ that saw original use in \cite{sh90}, which we name \textit{$\s$-} and \textit{$\n$-indiscernibility}. Using these definitions and detailed proofs, we prove $\s$- and $\n$-modeling theorems and give applications of these theorems. In particular, we verify a step in the argument that TP is equivalent to TP$_1$ or TP$_2$ that has not seen explication in the literature. In the Appendix, we exposit the proofs of \citep[{App. 2.6, 2.7}]{sh90}, expanding on the details.

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Byunghan Kim, Hyeung-Joon Kim, Lynn Scow. 2013-12-15. Tree indiscernibilities, revisited. https://doi.org/10.1007/s00153-013-0363-6

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