Existence of continuous utility functions for arbitrary binary relations: some sufficient conditions

Gianni Bosi, Alessandro Caterino and Rita Ceppitelli

MPRA Paper from University Library of Munich, Germany

Abstract: We present new sufficient conditions for the existence of a continuous utility function for an arbitrary binary relation on a topological space. Such conditions are basically obtained by using both the concept of a weakly continuous binary relation on a topological space and the concept of a countable network weight. In particular, we are concerned with suitable topological notions which generalize the concept of compactness and do not imply second countability or local compactness.

Keywords: hereditarily Lindeloef space; weakly continuous binary relation; countable network weight; hemicompactness; submetrizability (search for similar items in EconPapers)
JEL-codes: C60 (search for similar items in EconPapers)
Date: 2009-03-04
New Economics Papers: this item is included in nep-upt
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Citations: View citations in EconPapers (2)

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