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Closed Media and ∪-Closed Families

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Media Theory

Abstract

Several examples of structures representable by media discussed earlier enjoy a closedness1 property. For instance, the family of all partial orders on a set is closed under intersections (cf. Theorem 5.3.5). We define this concept for media and investigate its properties.

We reserve the term ‘closure’ for the operation, as in ‘transitive closure.’

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© 2008 Springer-Verlag Berlin Heidelberg

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(2008). Closed Media and ∪-Closed Families. In: Media Theory. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71697-6_4

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