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http://dx.doi.org/10.4134/JKMS.2009.46.4.701

SEMICONTINUOUS PLANAR TOTAL PREORDERS ON NON-SEPARABLE METRIC SPACES  

Campioon, Marla Jesuus (UNIVERSITY PUBLICA DE NAVARRA DEPARTMENTO DE MATEMATICAS CAMPUS ARROSADIA)
Candeal, Juan Carlos (UNIVERSIDAD DE ZARAGOZA FACULTAD DE CIENCIAS ECONOMICASY EMPRESARIALES DEPARTAMENTO DE ANALISIS ECONOMICO)
Indurain, Esteban (UNIVERSIDAD PUBLICA DE NAVARRA DEPARTMENTO DE MATEMATICAS CAMPUS ARROSADIA)
Publication Information
Journal of the Korean Mathematical Society / v.46, no.4, 2009 , pp. 701-711 More about this Journal
Abstract
We prove that every non-separable connected metric space can be endowed with a total preorder that is order-isomorphic to a nonrepresentable subset of the lexicographic plane and semicontinuous with respect to the metric topology.
Keywords
real-valued functions; metric spaces; semicontinuous total preorders; representability;
Citations & Related Records
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Times Cited By Web Of Science : 1  (Related Records In Web of Science)
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