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Topological conditions for the representation of preorders by continuous utilities

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arxiv 1108.5123 v2 pith:PVVQMSUR submitted 2011-08-25 math.GN math-phmath.MP

classification math.GNmath-phmath.MP
keywords continuouslevinpreordersrepresentationtheoremtopologicalutilitiesalternative
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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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Cited by 3 Pith papers

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