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

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Title: Normally preordered spaces and continuous multi-utilities
Author: Bosi, Gianni Caterino, Alessandro Ceppitelli, Rita
Issued date:
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 ...[+]
Subjects: Normally preordered space , Perfectly normally preordered space , Multi-utility representation
Copyrigths: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Source:
Applied General Topology. (issn: 1576-9402 ) (eissn: 1989-4147 )
DOI: 10.4995/agt.2016.4561
Publisher:
Universitat Politècnica de València
Publisher version: https://doi.org/10.4995/agt.2016.4561
Thanks:
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).
Type: Artículo

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

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

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 [+]
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

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

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

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

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

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

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

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

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

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

K�nzi, H.-P. A. (1990). Completely regular ordered spaces. Order, 7(3), 283-293. doi:10.1007/bf00418656

Minguzzi, E. (2011). Normally Preordered Spaces and Utilities. Order, 30(1), 137-150. doi:10.1007/s11083-011-9230-4

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