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arXiv · 2004.13162

On big Ramsey degrees for binary free amalgamation classes

Andy Zucker
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Abstract

Generalizing and simplifying recent work of Dobrinen, we show that if $\mathcal{L}$ is a finite binary relational language and $\mathcal{F}$ is a finite set of finite irreducible $\mathcal{L}$-structures, then the class $\mathcal{K} = \mathrm{Forb}(\mathcal{F})$ has finite big Ramsey degrees.

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Andy Zucker. 2020-04-27. On big Ramsey degrees for binary free amalgamation classes. https://arxiv.org/abs/2004.13162

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