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.
Topological conditions for the representation of preorders by continuous utilities / E. Minguzzi. - In: APPLIED GENERAL TOPOLOGY. - ISSN 1989-4147. - ELETTRONICO. - 13:(2012), pp. 81-89. [10.4995/agt.2012.1640]
Topological conditions for the representation of preorders by continuous utilities
MINGUZZI, ETTORE
2012
Abstract
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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