Topological conditions for the representation of preorders by continuous utilities
General Topology
2012-04-20 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1108.5123,
title = {Topological conditions for the representation of preorders by continuous utilities},
author = {E. Minguzzi},
journal= {arXiv preprint arXiv:1108.5123},
year = {2012}
}
Comments
10 pages. v2: minor corrections, slight change of title