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Knotted Ball Pairs in Unknotted Sphere Pairs

โœ Scribed by Hudson, J. F. P.; Sumners, D. W. L.

Book ID
120098606
Publisher
Oxford University Press
Year
1966
Tongue
English
Weight
139 KB
Volume
s1-41
Category
Article
ISSN
0024-6107

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A Pair in a Crowd of Unit Balls
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โœ K. Hosono; H. Maehara; K. Matsuda ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 130 KB

Let F be a family of mutually nonoverlapping unit balls in the n-dimensional Euclidean space R n . The distance between the centres of A, B โˆˆ F is denoted by d(A, B). We prove, among others, that if d(A, B) < 4 and n โ‰ฅ 5, then A and B are always visible from each other, that is, a light ray emanatin