Bosi, Gianni and Caterino, Alessandro and Ceppitelli, Rita (2009): Existence of continuous utility functions for arbitrary binary relations: some sufficient conditions.

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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.
Item Type:  MPRA Paper 

Original Title:  Existence of continuous utility functions for arbitrary binary relations: some sufficient conditions 
Language:  English 
Keywords:  hereditarily Lindeloef space; weakly continuous binary relation; countable network weight; hemicompactness; submetrizability 
Subjects:  C  Mathematical and Quantitative Methods > C6  Mathematical Methods; Programming Models; Mathematical and Simulation Modeling > C60  General 
Item ID:  14808 
Depositing User:  Gianni Bosi 
Date Deposited:  24. Apr 2009 00:25 
Last Modified:  13. Feb 2013 03:11 
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URI:  http://mpra.ub.unimuenchen.de/id/eprint/14808 