Topological conditions for the representation of preorders by continuous utilities

Mathematics – General Topology

Scientific paper

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10 pages. v2: minor corrections, slight change of title

Scientific paper

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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