Bosi, Gianni and Herden, Gerhard
(2014):
*Topological spaces for which every closed and semi-closed preorder respectively admits a continuous multi-utility representation.*

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## 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.

Item Type: | MPRA Paper |
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Original Title: | Topological spaces for which every closed and semi-closed preorder respectively admits a continuous multi-utility 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.uni-muenchen.de/id/eprint/53404 |