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