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Resumen de Avoidable structures, II: Finite distributive lattices and nicely structured ordered sets

Wieslaw Dziobiak, Jaroslav Jezek, Ralph McKenzie

  • Let $$\langle {\mathcal{D}}, \leq \rangle$$ be the ordered set of isomorphism types of finite distributive lattices, where the ordering is by embeddability. We characterize the order ideals in $$\langle {\mathcal{D}}, \leq \rangle$$ that are well-quasi-ordered by embeddability, and thus characterize the members of $$\mathcal{D}$$ that belong to at least one infinite anti-chain in $$\mathcal{D}$$.


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