On the basis of the classical continuous multi-utility representation theorem of Levin on locally compact and $\sigma$-compact Hausdorff spaces, we present necessary and sufficient conditions on a topological space $(X,t)$ under which every semi-closed and closed preorder respectively admits a continuous multi-utility representation. This discussion provides the fundaments of a mainly topological theory that systematically combines topological and order theoretic aspects of the continuous multi-utility representation problem.

On continuous multi-utility representations of semi-closed and closed preorders

BOSI, GIANNI;
2016

Abstract

On the basis of the classical continuous multi-utility representation theorem of Levin on locally compact and $\sigma$-compact Hausdorff spaces, we present necessary and sufficient conditions on a topological space $(X,t)$ under which every semi-closed and closed preorder respectively admits a continuous multi-utility representation. This discussion provides the fundaments of a mainly topological theory that systematically combines topological and order theoretic aspects of the continuous multi-utility representation problem.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11368/2855977
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