J. Korean Math. Soc. 2012; 49(3): 449-473
Printed May 1, 2012
https://doi.org/10.4134/JKMS.2012.49.3.449
Copyright © The Korean Mathematical Society.
Mar\'{\i}a Jes\'us Campi\'on, Juan Carlos Candeal, Esteban Indur\'ain, and Ghanshyam Bhagvandas Mehta
Universidad P\'ublica de Navarra, Universidad de Zaragoza, Universidad P\'ublica de Navarra, University of Queensland
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
MSC numbers: 54F05
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