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Combinatorial simpliciality of arrangements of hyperplanes

โœ Scribed by Cuntz, M.; Geis, D.


Book ID
121483928
Publisher
Springer-Verlag
Year
2014
Tongue
English
Weight
451 KB
Volume
56
Category
Article
ISSN
0138-4821

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๐Ÿ“œ SIMILAR VOLUMES


Simplicial cells in arrangements of hype
โœ R. W. Shannon ๐Ÿ“‚ Article ๐Ÿ“… 1979 ๐Ÿ› Springer ๐ŸŒ English โš– 322 KB

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

A simplicial 4-arrangement of 33 hyperpl
โœ G. L. Alexanderson; John E. Wetzel ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› Springer ๐ŸŒ English โš– 394 KB

We show in this paper that the projective d-arrangement I$ a formed by the facet hyperplanes of a cross-polytope, its hyperplanes of mirror symmetry, and the hyperplane at infinity is simplicial precisely for d ~< 4. The arrangement 1$ 4 is the only simplicial d-arrangement presently known that doe

EXTREMAL ARRANGEMENTS OF HYPERPLANES
โœ Thomas Zaslavsky ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 883 KB