On continuous multi-utility representations of semi-closed and closed preorders
| Autor: | Gerhard Herden, Gianni Bosi |
|---|---|
| Přispěvatelé: | Bosi, Gianni, Herden, Gerhard |
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Topological manifold
Connected space Pure mathematics Sociology and Political Science Specialization (pre)order Normal preorder Topological vector space 0502 economics and business strongly normal preorder paracompact space Lindel\"{o}f space metrizable space Locally compact space 050207 economics General Psychology 050205 econometrics Mathematics Discrete mathematics metrizable space 05 social sciences Hausdorff space General Social Sciences paracompact space Mathematik Closed graph theorem Statistics Probability and Uncertainty strongly normal preorder Tietze extension theorem |
| Popis: | On the basis of the classical continuous multi-utility representation theorem of Levin on locally compact and σ -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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|