Abstract
Hyperplane arrangements in a finite dimensional vector space, as illustrated by Example 1.2.1, are a rich and useful source of media examples. We prove that the ‘regions’ of a hyperplane arrangements define a medium, give examples of such media, and compute their isometric and lattice dimensions. Then we apply geometric techniques to show that families of ‘labeled interval orders’ and weak orders can be cast as media. This part of the chapter supplements the results presented in Chapter 5.
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© 2008 Springer-Verlag Berlin Heidelberg
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(2008). Hyperplane arrangements and their media. In: Media Theory. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71697-6_9
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DOI: https://doi.org/10.1007/978-3-540-71697-6_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-71696-9
Online ISBN: 978-3-540-71697-6
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