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10 Points in Dimension 4 not Projectively Equivalent to the Vertices of a Convex Polytope

✍ Scribed by David Forge; Michel Las Vergnas; Peter Schuchert


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
61 KB
Volume
22
Category
Article
ISSN
0195-6698

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✦ Synopsis


Using oriented matroids, and with the help of a computer, we have found a set of 10 points in R 4 not projectively equivalent to the vertices of a convex polytope. This result confirms a conjecture of Larman [6] in dimension 4.