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EnglishGiven 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.
| Titolo: | Upper semicontinuous representations of interval orders |
| Autori: | |
| Data di pubblicazione: | 2014 |
| Rivista: | |
| 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. |
| Handle: | http://hdl.handle.net/11368/2752308 |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.mathsocsci.2013.12.005 |
| URL: | http://www.sciencedirect.com/science/article/pii/S0165489613001194 |
| Appare nelle tipologie: | 1.1 Articolo in Rivista |
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