Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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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.

Continuous order representability properties of topological spaces and algebraic structures

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

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

MSC numbers: 54F05

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