Using relation algebra, we generalize Aumann's notion of a contact relation and that of a closure operation from powersets to general membership relations and their induced partial orders. We also investigate the relationship between contacts and closures in this general setting and use contacts to establish a one-to-one correspondence between the column space and the row space of a relation. © 2009 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Schmidt, G., & Berghammer, R. (2009). Contact relations with applications. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5827 LNCS, pp. 306–321). https://doi.org/10.1007/978-3-642-04639-1_21
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