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On big Ramsey degrees for binary free amalgamation classes

Published 27 Apr 2020 in math.LO and math.CO | (2004.13162v3)

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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