Upper semicontinuous representations of interval orders
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...
Paper Details
Title
Upper semicontinuous representations of interval orders
Published Date
Mar 1, 2014
Journal
Volume
68
Pages
60 - 63
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