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2016
8 years 7 months ago
Conservative Median Algebras and Semilattices
We characterize conservative median algebras and semilattices by means of forbidden substructures and by providing their representation as chains. Moreover, using a dual equivalenc...
Miguel Couceiro, Jean-Luc Marichal, Bruno Teheux
ORDER
2016
8 years 7 months ago
Large Subposets with Small Dimension
Dorais asked for the maximum guaranteed size of a dimension d subposet of an n-element poset. A lower bound of order √ n was found by Goodwillie. We provide a sublinear upper bou...
Benjamin Reiniger, Elyse Yeager