Normally preordered spaces and continuous multi-utilities

[EN] 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 representa...

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Detalles Bibliográficos
Autores: Bosi, Gianni, Caterino, Alessandro, Ceppitelli, Rita
Tipo de recurso: artículo
Fecha de publicación:2016
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/72366
Acceso en línea:https://riunet.upv.es/handle/10251/72366
Access Level:acceso abierto
Palabra clave:Normally preordered space
Perfectly normally preordered space
Multi-utility representation
Descripción
Sumario:[EN] 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.