Continuity of Preference Relations for Separable Topologies
证明偏好关系在某个可分离拓扑下连续当且仅当它可嵌入到带字典序的Re×{0,1}乘积集中，并以此为基础为消费者理论中的一些表示定理提供了新的证明。
A preference relation is shown to be continuous with respect to some separable topology, if and only if the preference relation is embeddable in the product set of Re and {0,1}, endowed with the lexicographic ordering. This result is used as the starting point to obtain alternative proofs for some representation theorems of consumer theory.