Abstract
In this work, we study the interplay of ordered relation and the structure of the convex metric space on which it is defined: First, we show when a convex metric space is isomorphic with a convex subset of some vector space. Second, we obtain conditions for a representation of a preference relation on a convex metric space.
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1. Faces in convex metric spaces;Proceedings of the Romanian Academy, Series A: Mathematics, Physics, Technical Sciences, Information Science;2023-12-18