Topological conditions for the representation of preorders by continuous utilities

• Minguzzi, E. ^[1]
  1. [1] University of Florence

     University of Florence

     Firenze, Italia

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 13, Nº. 1, 2012, págs. 81-89
• Idioma: inglés
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• Resumen

  • We remove the Hausdorff condition from Levin's theorem on the representation of preorders by families of continuous utilities. We compare some alternative topological assumptions in a Levin's type theorem, and show that they are equivalent to a Polish space assumption.