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On the Generation of Oriented Matroids

✍ Scribed by Bokowski, J.; Guedes de Oliveira, A.

Book ID: 118786298
Publisher: Springer
Year: 2000
Tongue: English
Weight: 192 KB
Volume: 24
Category: Article
ISSN: 0179-5376
DOI: 10.1007/s004540010027

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Consider a finite family of hyperplanes \_%? = {Hi, . \_. , H,} in the finite-dimensional vector space IWd. We call chambers (determined by 2) the connected components of W"\ U y=, Hi. Galleries are finite families of chambers (C,,,C,, , C,), where exactly one hyperplane separates Ci+i from Ci, for