In: Tatra Mountains Mathematical Publications, vol. 46, no. 2
Gianni Bosi - Alessandro Caterino - Rita Ceppitelli
Details:
Year, pages: 2010, 15 - 27
Keywords:
hereditarily Lindelöf space, weakly continuous binary relation,
countable network weight, hemicompactness, submetrizability.
About article:
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 network weight. We are concerning with suitable topological notions which generalize the concept of compactness and do not imply second countability or local compactness.
How to cite:
ISO 690:
Bosi, G., Caterino, A., Ceppitelli, R. 2010. Existence of continuous utility functions for arbitrary binary relations: some sufficient conditions. In Tatra Mountains Mathematical Publications, vol. 46, no.2, pp. 15-27. 1210-3195.
APA:
Bosi, G., Caterino, A., Ceppitelli, R. (2010). Existence of continuous utility functions for arbitrary binary relations: some sufficient conditions. Tatra Mountains Mathematical Publications, 46(2), 15-27. 1210-3195.