Caterino, Alessandro; Ceppitelli, Rita; Maccarino, Francesca(Universitat Politècnica de València, 2009-10-01)
[EN] Some theorems concerning the existence of continuous utility functions for closed preorders on submetrizable hemicompact k-spaces are proved. These spaces are precisely the inductive limits of increasing sequences of ...
Caterino, Alessandro; Vipera, M. Cristina(Universitat Politècnica de València, 2011-10-01)
[EN] Many extensions of a space X such that the remainder Y is closed can be constructed as B-extensions, that is, by defining a topology on the disjoint union X [ Y , provided there exists a map, satisfying some conditions, ...
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 ...