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.
CITATION STYLE
Couceiro, M., Marichal, J. L., & Teheux, B. (2016). Conservative Median Algebras and Semilattices. Order, 33(1), 121–132. https://doi.org/10.1007/s11083-015-9356-x
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