12 research outputs found
Categorical view of the Partite Lemma in structural Ramsey Theory
We construct of the main object of the Partite Lemma as the colimit over a
certain diagram. This gives a purely category theoretic take on the Partite
Lemma and establishes the canonicity of the object. Additionally, the
categorical point of view allows us to unify the direct Partite Lemma in the
Ne\v{s}et\v{r}il--R\"odl Theorem with the dual Paritite Lemma by Solecki
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