TY - JOUR
AU - Caterino, Alessandro
AU - Ceppitelli, Rita
AU - Maccarino, Francesca
PY - 2009/10/01
Y2 - 2023/06/01
TI - Continuous utility functions on submetrizable hemicompact k-spaces
JF - Applied General Topology
JA - Appl. Gen. Topol.
VL - 10
IS - 2
SE -
DO - 10.4995/agt.2009.1732
UR - https://polipapers.upv.es/index.php/AGT/article/view/1732
SP - 187-195
AB - 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. These results generalize some well known theorems due to Levin.
ER -