𝔖 Bobbio Scriptorium
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An invariant property of balls in arrangements of hyperplanes

✍ Scribed by Boris Aronov; Daniel Q. Naiman; János Pach; Micha Sharir


Book ID
110560960
Publisher
Springer
Year
1993
Tongue
English
Weight
203 KB
Volume
10
Category
Article
ISSN
0179-5376

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📜 SIMILAR VOLUMES


Simplicial cells in arrangements of hype
✍ R. W. Shannon 📂 Article 📅 1979 🏛 Springer 🌐 English ⚖ 322 KB

Let ~ be an arrangement of n hyperplanes in pa, C(,~¢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(~¢t~), each h