On the structure of completely useful topologies

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 paper we characterize in ZFC (Zermelo-Fraenkel + Axiom of Choice) and ZFC+SH (ZFC +...

Full description

Bibliographic Details
Main Authors: Gianni Bosi, Gerhard Herden
Format: Article
Language:English
Published: Universitat Politècnica de València 2002-10-01
Series:Applied General Topology
Subjects:
Online Access:http://polipapers.upv.es/index.php/AGT/article/view/2060