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How a strongly irreducible Heegaard splitting intersects a handlebody |
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| Authors: | Matt Jones Martin Scharlemann |
| Affiliation: | a Department of Cognition and Perception, University of Michigan, Ann Arbor, MI 48109, USA b Mathematics Department, University of California, Santa Barbara, CA USA |
| Abstract: | 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. |
| Keywords: | Heegaard splitting Strongly irreducible Handlebody Weakly incompressible |
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