Continuous representability of semiorders |
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| Authors: | Marí a J. Campió n,Margarita Zudaire |
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| Affiliation: | a Universidad Pública de Navarra, Departamento de Matemáticas, Campus Arrosadía. Edificio “Las Encinas”, E-31006 Pamplona, Spain
b Universidad de Zaragoza, Facultad de Ciencias Económicas y Empresariales, Departamento deAnálisis Económico, c/ Doctor Cerrada 1-3. E-50005, Zaragoza, Spain |
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| Abstract: | In the framework of the analysis of orderings whose associated indifference relation is not transitive, we study the structure of a semiorder, paying attention to the problem of its continuous representability through a real-valued function and a positive threshold. For the case of connected topological spaces, we obtain a full characterization of the continuous representability of semiorders without extremal elements. |
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| Keywords: | 54F05 secondary: 06A06, 91B16 |
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