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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
(2008). Hyperplane arrangements and their media. In: Media Theory. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71697-6_9
Download citation
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
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)