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Stabbing Simplices by Points and Flats

✍ Scribed by Boris Bukh; Jiří Matoušek; Gabriel Nivasch

Publisher
Springer
Year
2008
Tongue
English
Weight
567 KB
Volume
43
Category
Article
ISSN
0179-5376

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📜 SIMILAR VOLUMES

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A longstanding conjecture of Reay asserts that every set X of (m-1)(d +1)+k+1 points in general position in R d has a partition X 1 , X 2 , . . . , X m such that m i=1 conv X i is at least k-dimensional. Using the tools developed in [13] and oriented matroid theory, we prove this conjecture for d =