Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
972039 | Mathematical Social Sciences | 2014 | 4 Pages |
Abstract
Given an interval order on a topological space, we characterize its representability by means of a pair of upper semicontinuous real-valued functions. This characterization is only based on separability and continuity conditions related to both the interval order and one of its two traces. As a corollary, we obtain the classical Rader's theorem concerning the existence of an upper semicontinuous representation for an upper semicontinuous total preorder on a second countable topological space.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Gianni Bosi, Magalì Zuanon,