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Conservative Median Algebras and Semilattices

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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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Authors and Affiliations

  1. LORIA (CNRS - Inria Nancy Grand Est - Université de Lorraine), Équipe Orpailleur, Batiment B, Campus Scientifique, B.P. 239, 54506, Vandoeuvre-lès-Nancy, France

    Miguel Couceiro

  2. Mathematics Research Unit, FSTC, University of Luxembourg, 6 rue Coudenhove-Kalergi, 1359, Luxembourg, Luxembourg

    Jean-Luc Marichal & Bruno Teheux

Authors
  1. Miguel Couceiro
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  2. Jean-Luc Marichal
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  3. Bruno Teheux
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Correspondence to Jean-Luc Marichal.

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

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  • DOI: https://doi.org/10.1007/s11083-015-9356-x

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