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arXiv · 1405.0935

Conservative median algebras and semilattices

Miguel Couceiro·Jean-Luc Marichal·Bruno Teheux
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Abstract

We characterize conservative median algebras and semilattices by means of forbidden substructures and by providing their representation as chains. Moreover, using a dual equivalence between median algebras and certain topological structures, we obtain descriptions of the median-preserving mappings between products of finitely many chains.

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Miguel Couceiro, Jean-Luc Marichal, Bruno Teheux. 2016-02-12. Conservative median algebras and semilattices. https://doi.org/10.1007/s11083-015-9356-x

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