Continuous representability of interval orders

• Candeal, Juan C. ^[1] ; Induráin, Esteban ^[2] ; Zudaire, M. ^[3]
  1. [1] Universidad de Zaragoza

     Universidad de Zaragoza

     Zaragoza, España

     
  2. [2] Universidad Pública de Navarra

     Universidad Pública de Navarra

     Pamplona, España

     
  3. [3] Instituto de Educación Secundaria Barañain

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• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 5, Nº. 2, 2004, págs. 213-230
• Idioma: inglés
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• Resumen

  • In the framework of the analysis of orderings whose associated indifference relation is not necessarily transitive, we study the structure of an interval order, and its representability through a pair of continuous real-valued functions. Inspired in recent characterizations of the representability of interval orders, we obtain new results concerning the existence of continuous real-valued representations. Classical results are also restated in a unified framework.