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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
  • DOI: 10.4995/agt.2012.1640
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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.

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