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http://dx.doi.org/10.4134/JKMS.2012.49.3.449

CONTINUOUS ORDER REPRESENTABILITY PROPERTIES OF TOPOLOGICAL SPACES AND ALGEBRAIC STRUCTURES  

Campion, Maria Jesus (Departamento de Matematicas Universidad Publica de Navarra)
Candeal, Juan Carlos (Departamento de Analisis Economico Universidad de Zaragoza)
Indurain, Esteban (Departamento de Matematicas Universidad Publica de Navarra)
Mehta, Ghanshyam Bhagvandas (Department of Economics University of Queensland)
Publication Information
Journal of the Korean Mathematical Society / v.49, no.3, 2012 , pp. 449-473 More about this Journal
Abstract
In the present paper, we study the relationship between continuous order-representability and the fulfillment of the usual covering properties on topological spaces. We also consider the case of some algebraic structures providing an application of our results to the social choice theory context.
Keywords
ordered structures on topological spaces; order-representability properties; covering properties; preorderable subtopologies; algebraic order-representability; social choice theory;
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Times Cited By KSCI : 1  (Citation Analysis)  (Related Records In Web of Science)
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