Continuous utility functions on submetrizable hemicompact k-spaces

Continuous utility functions on submetrizable hemicompact k-spaces

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 metric compact subspaces and in general are neither metrizable nor locally compact....

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Bibliographic Details
Main Authors: Alessandro Caterino, Rita Ceppitelli, Francesca Maccarino
Format: Article
Language:English
Published: Universitat Politècnica de València 2009-10-01
Series:Applied General Topology
Subjects:
Closed preorder
Jointly continuous utility function
Hemicompact
Submetrizable
k-space
Online Access:http://polipapers.upv.es/index.php/AGT/article/view/1732

Internet

http://polipapers.upv.es/index.php/AGT/article/view/1732

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