Topological spaces for which every closed and semi-closed preorder respectively admits a continuous multi-utility representation

Gianni Bosi and Gerhard Herden

MPRA Paper from University Library of Munich, Germany

Abstract: On basis of the meanwhile classical continuous multi-utility representation theorem of Levin on locally compact and $\sigma$-compact Hausdorff-spaces the question of characterizing all topological spaces $(X,t)$ for which every closed and semi-closed preorder respectively admits a continuous multi-utility representation will be discussed. In this way we are able to provide the fundaments of a purely topological theory that systematically combines topological and order theoretic aspects of the continuous multi-utility representation problem.

Keywords: Normal preorder; strongly normal preorder \sep paracompact space; Lindelof space; metrizable space (search for similar items in EconPapers)
JEL-codes: C02 (search for similar items in EconPapers)
Date: 2014-02-04
New Economics Papers: this item is included in nep-upt
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