Open AccessContinuous utility functions on submetrizable hemicompact k-spaces
Author(s) -
Alessandro Caterino,
Rita Ceppitelli,
Francesca Maccarino
Publication year - 2009
Publication title -
applied general topology
Language(s) - English
Resource type - Journals
eISSN - 1989-4147
pISSN - 1576-9402
DOI - 10.4995/agt.2009.1732
Subject(s) - mathematics , metrization theorem , linear subspace , pure mathematics , compact space , metric space , locally compact space , uniform continuity , discrete mathematics , separable space , mathematical analysis
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
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