Bosi, Gianni and Herden, Gerhard (2014): Topological spaces for which every closed and semiclosed preorder respectively admits a continuous multiutility representation.

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Abstract
On basis of the meanwhile classical continuous multiutility representation theorem of Levin on locally compact and $\sigma$compact Hausdorffspaces the question of characterizing all topological spaces $(X,t)$ for which every closed and semiclosed preorder respectively admits a continuous multiutility 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 multiutility representation problem.
Item Type:  MPRA Paper 

Original Title:  Topological spaces for which every closed and semiclosed preorder respectively admits a continuous multiutility representation 
Language:  English 
Keywords:  Normal preorder, strongly normal preorder \sep paracompact space, Lindelof space, metrizable space 
Subjects:  C  Mathematical and Quantitative Methods > C0  General > C02  Mathematical Methods 
Item ID:  53404 
Depositing User:  Gianni Bosi 
Date Deposited:  05 Feb 2014 10:33 
Last Modified:  26 Sep 2019 22:47 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/53404 