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Preorderable topologies and order-representability of topological spaces |
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| Authors: | Marí a Jesú s Campió n |
| Affiliation: | a Área Financiera de Empresas e Inversiones, Caja Navarra, Avda. Carlos III 8, Planta 5, E-31002 Pamplona, Spain b Departamento de Análisis Económico, Universidad de Zaragoza, c/ Doctor Cerrada 1-3, E-50005 Zaragoza, Spain c Departamento de Matemáticas, Universidad Pública de Navarra, Campus Arrosadía, E-31006 Pamplona, Spain |
| Abstract: | We furnish characterizations of topologies that coincide with the lower topology or with the order topology of some total preorder defined on a set. Leaning on these characterizations we introduce some applications to the study of continuous and semicontinuous order-representability properties of topological spaces. |
| Keywords: | primary, 54F05 secondary, 06A05 |
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