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Normally preordered spaces and continuous multi-utilities

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Normally preordered spaces and continuous multi-utilities

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dc.contributor.author Bosi, Gianni es_ES
dc.contributor.author Caterino, Alessandro es_ES
dc.contributor.author Ceppitelli, Rita es_ES
dc.date.accessioned 2016-10-20T08:15:43Z
dc.date.available 2016-10-20T08:15:43Z
dc.date.issued 2016-04-12
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/72366
dc.description.abstract [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. es_ES
dc.description.sponsorship This research was carried out within the Gruppo Nazionale per l’Analisi Matematica, la Probabilit`a e le loro Applicazioni, Istituto Nazionale di Alta Matematica (Italy).
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València
dc.relation.ispartof Applied General Topology
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Normally preordered space es_ES
dc.subject Perfectly normally preordered space es_ES
dc.subject Multi-utility representation es_ES
dc.title Normally preordered spaces and continuous multi-utilities es_ES
dc.type Artículo es_ES
dc.date.updated 2016-10-20T07:36:04Z
dc.identifier.doi 10.4995/agt.2016.4561
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation 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 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2016.4561 es_ES
dc.description.upvformatpinicio 71 es_ES
dc.description.upvformatpfin 81 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 17
dc.description.issue 1
dc.identifier.eissn 1989-4147
dc.description.references Alcantud, J. C. R., Bosi, G., & Zuanon, M. (2015). Richter–Peleg multi-utility representations of preorders. Theory and Decision, 80(3), 443-450. doi:10.1007/s11238-015-9506-z es_ES
dc.description.references Alcantud, J. C. R., Bosi, G., Campión, M. J., Candeal, J. C., Induráin, E., & Rodríguez-Palmero, C. (2007). Continuous Utility Functions Through Scales. Theory and Decision, 64(4), 479-494. doi:10.1007/s11238-007-9025-7 es_ES
dc.description.references Bosi, G., & Herden, G. (2012). Continuous multi-utility representations of preorders. Journal of Mathematical Economics, 48(4), 212-218. doi:10.1016/j.jmateco.2012.05.001 es_ES
dc.description.references Bosi, G., & Herden, G. (2016). On continuous multi-utility representations of semi-closed and closed preorders. Mathematical Social Sciences, 79, 20-29. doi:10.1016/j.mathsocsci.2015.10.006 es_ES
dc.description.references Bosi, G., & Isler, R. (2000). Separation axioms in topological preordered spaces and the existence of continuous order-preserving functions. Applied General Topology, 1(1), 93. doi:10.4995/agt.2000.3026 es_ES
dc.description.references Bosi, G., & Mehta, G. B. (2002). Existence of a semicontinuous or continuous utility function: a unified approach and an elementary proof. Journal of Mathematical Economics, 38(3), 311-328. doi:10.1016/s0304-4068(02)00058-7 es_ES
dc.description.references Caterino, A., & Ceppitelli, R. (2015). Jointly continuous utility functions on submetrizable kω-spaces. Topology and its Applications, 190, 109-118. doi:10.1016/j.topol.2015.04.012 es_ES
dc.description.references Caterino, A., Ceppitelli, R., & Holá, Ľ. (2013). Some generalizations of Backʼs Theorem. Topology and its Applications, 160(18), 2386-2395. doi:10.1016/j.topol.2013.07.033 es_ES
dc.description.references Caterino, A., Ceppitelli, R., & Maccarino, F. (2009). Continuous utility functions on submetrizable hemicompact k-spaces. Applied General Topology, 10(2), 187-195. doi:10.4995/agt.2009.1732 es_ES
dc.description.references Evren, Ö., & Ok, E. A. (2011). On the multi-utility representation of preference relations. Journal of Mathematical Economics, 47(4-5), 554-563. doi:10.1016/j.jmateco.2011.07.003 es_ES
dc.description.references K�nzi, H.-P. A. (1990). Completely regular ordered spaces. Order, 7(3), 283-293. doi:10.1007/bf00418656 es_ES
dc.description.references Minguzzi, E. (2011). Normally Preordered Spaces and Utilities. Order, 30(1), 137-150. doi:10.1007/s11083-011-9230-4 es_ES


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