Small filling sets of curves on a surface
Consider a set of simple closed curves on a surface of genus g which fill the surface and which pairwise intersect at most once. We show that the asymptotic growth rate of the smallest number in such a set is 2\sqrt{g} as g goes to infinity. More generally, we give a precise asymptotic for filling s...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
2011-01.
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| Subjects: | |
| Online Access: | Get fulltext |