Normally preordered spaces and continuous multi-utilities

• Autores: Gianni Bosi, Alessandro Caterino, Rita Ceppitelli
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 17, Nº. 1, 2016, págs. 71-81
• Idioma: inglés
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• Resumen

  • We study regular, normal and perfectly normal preorders by referring to suitable assumptions concerning the preorder and the topology of the space. We also present conditions for the existence of a countable continuous multi-utility representation, hence a Richter-Peleg multi-utility representation, by assuming the existence of a countable net weight.