Mathematics – Geometric Topology
Scientific paper
2002-05-09
Mathematics
Geometric Topology
10 pages, 12 figures
Scientific paper
We prove the existence of pure braids with arbitrarily many strands which are
small, i.e. they contain no closed incompressible surface in the complement
which is not boundary parallel. This implies the existence of irreducible
non-Haken 3-manifolds of arbitrarily high Heegaard genus.
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