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Systems of Curves on Surfaces

✍ Scribed by M. Juvan; A. Malnič; B. Mohar

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
532 KB
Volume
68
Category
Article
ISSN
0095-8956

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✦ Synopsis

It is proved that for each compact (bordered) surface 7 and each integer k there is a constant N with the following property: If 1 is a family of pairwise nonhomotopic closed curves on 7 such that any two curves from 1 intersect in at most k points, then 1 contains at most N curves.

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