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Continuous representations of interval orders based on induced preorders
Authors:Gianni Bosi
Institution:(1) Dipartimento di Matematica applicata ldquoBruno de Finettirdquo, Università di Trieste, Trieste, Italy
Abstract:Conditions are given for the existence of a pair of continuous real valued functions (u, v) representing an interval order pr on a topological space (X, tau), in the sense that xpry if and only ifu(x)].I am deeply indepted to Professor Alain Chateauneuf for many valuable suggestions.
Keywords:interval order  strong separability
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