Upper semicontinuous representations of interval orders

Gianni Bosi and Magalì Zuanon

Mathematical Social Sciences, 2014, vol. 68, issue C, 60-63

Abstract: Given an interval order on a topological space, we characterize its representability by means of a pair of upper semicontinuous real-valued functions. This characterization is only based on separability and continuity conditions related to both the interval order and one of its two traces. As a corollary, we obtain the classical Rader’s theorem concerning the existence of an upper semicontinuous representation for an upper semicontinuous total preorder on a second countable topological space.

Date: 2014
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matsoc:v:68:y:2014:i:c:p:60-63

DOI: 10.1016/j.mathsocsci.2013.12.005

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