Every Finite Topology is Generated by a Partial Pseudometric
نویسندگان
چکیده
Given any preorder on a finite set X, we present an algorithm to construct a partial pseudometric p on X which generates in the sense that a b if and only if p(a, b) ≤ p(a, a). The specialization topology generated by agrees with the topology generated by the partial pseudometric p-balls, and consequently any topology on X is generated by a partial pseudometric. AMS Subject classification: 54A05, 06A99
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عنوان ژورنال:
- Order
دوره 22 شماره
صفحات -
تاریخ انتشار 2005