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Simplicial cells in arrangements of hyperplanes

✍ Scribed by R. W. Shannon

Publisher
Springer
Year
1979
Tongue
English
Weight
322 KB
Volume
8
Category
Article
ISSN
0046-5755

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✦ Synopsis

Let ~ be an arrangement of n hyperplanes in pa, C(,~Β’t~) its cell complex, and Hany hyperplane of~Ze. It is proved: (I) If~ is not a near pencil then there are at least n -d -I simplicial d-cells of C(,,~), each having no facet in H. (2) There are at least d + I simplicial d-cells of C(~Β’t~), each having a facet in H. Material for this paper was taken from the author's doctoral dissertation.

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