Normally preordered spaces and continuous multi-utilities

Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)

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4561-17288-1-PB.pdf (317.83 KB)

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2016-04-12

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https://riunet.upv.es/handle/10251/72366

Cita bibliográfica

Bosi, G.; Caterino, A.; Ceppitelli, R. (2016). Normally preordered spaces and continuous multi-utilities. Applied General Topology. 17(1):71-81. https://doi.org/10.4995/agt.2016.4561

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Resumen

[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.

Palabras clave

Normally preordered space, Perfectly normally preordered space, Multi-utility representation

Fuente

Applied General Topology issn: 1576-9402

DOI

10.4995/agt.2016.4561

Versión del editor

https://doi.org/10.4995/agt.2016.4561

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Applied General Topology - Vol 17, No 1 (2016)