Continuous representability of interval orders
Juan C. Candeal, Esteban Induráin, Margarita Zudaire · Applied General Topology · 2004
In the framework of the analysis of orderings whose associated indifference relation is not necessarily transitive, we study the structure of an interval order, and its representability through a pair of continuous real-valued functions. Inspired in recent characterizations of the representability of interval orders, we obtain new results concerning the existence of continuous real-valued representations. Classical results are also restated in a unified framework.