Topological spaces for which every closed and semi-closed preorder respectively admits a continuous multi-utility representation
AbstractOn 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.
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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 53404.
Date of creation: 04 Feb 2014
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Normal preorder; strongly normal preorder \sep paracompact space; Lindelof space; metrizable space;
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