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How a strongly irreducible Heegaard splitting intersects a handlebody

✍ Scribed by Matt Jones; Martin Scharlemann

Book ID: 104295760
Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 247 KB
Volume: 110
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(99)00183-2

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✦ Synopsis

In [Topology Appl. 90 (1998) 135] Scharleman showed that a strongly irreducible Heegaard splitting surface Q of a 3-manifold M can, under reasonable side conditions, intersect a ball or a solid torus in M in only a few possible ways. Here we extend those results to describe how Q can intersect a handlebody in M.