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On the intersection of curves

✍ Scribed by A. Cayley

Publisher
Springer
Year
1887
Tongue
English
Weight
201 KB
Volume
30
Category
Article
ISSN
0025-5831

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On the Intersections of Systems of Curve
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✍ Gelasio Salazar πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 85 KB

We show that the minimum number i m (n) of intersections in an n-family of simple closed curves whose elements pairwise intersect at least once and in less than m points satisfies the asymptotic behavior lim n Γ„ i m (n)Γ‚( n 2 )=2.