Bosi, Gianni; Isler, Romano(Universitat Politècnica de València, 2001-04-01)
[EN] Given a compact metric space (X, d), and its Borel σ-algebra Σ, we discuss the existence of a (semi)continuous utility function U for a complete preorder ≤ on a subset M’(X) of the space M(X) of all upper-continuous ...
Bosi, Gianni; Caterino, Alessandro; Ceppitelli, Rita(Universitat Politècnica de València, 2016-04-12)
[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 ...
Bosi, Gianni; Herden, Gerhard(Universitat Politècnica de València, 2002-10-01)
[EN] Let X be an arbitrary set. Then a topology t on X is completely useful if every upper semicontinuous linear preorder on X can be represented by an upper semicontinuous order preserving real-valued function. In this ...
Bosi, Gianni; Isler, R.(Universitat Politècnica de València, 2000-10-01)
[EN] We characterize the existence of a real continuous order-preserving function on a topological preordered space, under the hypotheses that the topological space is normal and the preorder satisfies a strong continuity ...