Topological conditions for the representation of preorders by continuous utilities
We remove the Hausdorff condition from Levin's theorem on the representation of preorders by families of continuous utilities. We compare some alternative topological assumptions in a Levin's type theorem, and show that they are equivalent to a Polish space assumption.
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Format: | Article |
Language: | English |
Published: |
Universitat Politècnica de València
2012-04-01
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Series: | Applied General Topology |
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Online Access: | http://polipapers.upv.es/index.php/AGT/article/view/1640 |
Summary: | We remove the Hausdorff condition from Levin's theorem on the representation of preorders by families of continuous utilities. We compare some alternative topological assumptions in a Levin's type theorem, and show that they are equivalent to a Polish space assumption. |
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ISSN: | 1576-9402 1989-4147 |