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].File in questo prodotto:
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