Conservative median algebras

Couceiro, Miguel; Marichal, Jean-Luc; Teheux, Bruno

Couceiro, Miguel; Marichal, Jean-Luc; Teheux, Bruno (2014), Conservative median algebras. https://basepub.dauphine.fr/handle/123456789/21025

Type

Document de travail / Working paper

External document link

https://hal.archives-ouvertes.fr/hal-01090614

Date

2014

Series title

Preprint Lamsade

Published in

Paris

Metadata

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Author(s)

Couceiro, Miguel
Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Marichal, Jean-Luc

Teheux, Bruno

Abstract (EN)

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

Subjects / Keywords

Median algebras