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New characterizations of completely useful topologies in mathematical utility theory
Bosi, Gianni
Daris, Roberto
Sbaiz, Gabriele
2024
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e-ISSN
2464-8728
Abstract
Let X be an arbitrary set. Then a topology t on X is said to be completely useful if every upper semicontinuous linear (total) preorder ≾ on X can be represented by an upper semicontinuous real-valued order preserving function. In this paper, appealing, simple and new characterizations of completely useful topologies will be proved, therefore clarifying the structure of such topologies.
Source
Gianni Bosi, Roberto Daris and Gabriele Sbaiz, "New characterizations of completely useful topologies in mathematical utility theory" in: "Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.56 (2024)", EUT Edizioni Università di Trieste, Trieste, 2024, pp. 11-22
Languages
en
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
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