Let M be a closed non-orientable 3-manifold with a Heegaard splitting of genus two. We show that, if M has a non-separating essential Klein bottle, then there is a non-separating essential Klein bottle (or torus) K such that the intersection of K and one of the handlebodies in the Heegaard splitting is an essential disk. Also, if every essential Klein bottle (or torus) is separating in M and if M has a non-trivial canonical system of 2-sided tori and Klein bottles, then there is a canonical system such that the intersection of this system with one of the handlebodies in the Heegaard splitting consists of at most two essential disks. We use these results to give a complete list of all the non-orientable 3-manifolds with a Heegaard splitting of genus two which are either not P('2)-irreducible or contain an incompressible torus or Klein bottle. / Source: Dissertation Abstracts International, Volume: 48-03, Section: B, page: 0784. / Thesis (Ph.D.)--The Florida State University, 1987.
| Identifer | oai:union.ndltd.org:fsu.edu/oai:fsu.digital.flvc.org:fsu_76084 |
| Contributors | CARDONA, IVAN., Florida State University |
| Source Sets | Florida State University |
| Detected Language | English |
| Type | Text |
| Format | 103 p. |
| Rights | On campus use only. |
| Relation | Dissertation Abstracts International |
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