Submetrizable k_ω-spaces seem to be interesting in the study of finite dimensional State Preference Models and in ordering of distributions of wellbeing. In these applications the existence of utilities representing families of preorders is important. In the present paper we are interested in the problem of the jointly continuous utility representations for submetrizable kω-spaces. We found a right and natural generalization of Back's Theorem. We improve the results in the paper A. Caterino and R. Ceppitelli (2015) [8].

On the jointly continuous utility representation problem

Caterino, Alessandro;Ceppitelli, Rita
;
2019

Abstract

Submetrizable k_ω-spaces seem to be interesting in the study of finite dimensional State Preference Models and in ordering of distributions of wellbeing. In these applications the existence of utilities representing families of preorders is important. In the present paper we are interested in the problem of the jointly continuous utility representations for submetrizable kω-spaces. We found a right and natural generalization of Back's Theorem. We improve the results in the paper A. Caterino and R. Ceppitelli (2015) [8].
2019
File in questo prodotto:
File Dimensione Formato  
Caterino-Ceppitelli-Holà post-print.pdf

accesso aperto

Tipologia di allegato: Post-print
Licenza: Creative commons
Dimensione 405.51 kB
Formato Adobe PDF
405.51 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1457726
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 2
  • ???jsp.display-item.citation.isi??? 1
social impact