Continuous representability of complete preorders on the space of upper-continuous capacities

• Bosi, Gianni ^[1] ; Isler, Romano ^[1]
  1. [1] University of Trieste

     University of Trieste

     Trieste, Italia

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 2, Nº. 1, 2001, págs. 27-31
• Idioma: inglés
• DOI: 10.4995/agt.2001.3012
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• Resumen

  • Given a compact metric space (X, d), and its Borel σ-algebra Σ, we discuss the existence of a (semi)continuous utility function U for a complete preorder ≤ on a subset M’(X) of the space M(X) of all upper-continuous capacities on Σ, endowed with the weak topology.