Small filling sets of curves on a surface
We show that the asymptotic growth rate for the minimal cardinality of a set of simple closed curves on a closed surface of genus <em>g</em> which fill and pairwise intersect at most K≥1 times is 2√g / √K as <em>g</em>→ ∞. We then bound from below the cardinality of a filling...
Main Authors: | , , |
---|---|
Format: | Journal article |
Language: | English |
Published: |
Elsevier
2011
|
Subjects: |